
math
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p=0.01x^20.3x+20
asked by Britney on December 5, 2012 
!math (1)
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = 0.01x^2  0.1 x +
asked by Vanessa on April 24, 2014 
!math (1)
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = 0.01x^2  0.1 x +
asked by Mia on April 25, 2014 
math
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p=0.01x^20.3x+20
asked by Britney on December 5, 2012 
calculus
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p=0.01x^20.3x+19
asked by Riley on April 10, 2013 
Brief Calculus
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = −0.01x2 − 0.3x
asked by Tiffany on August 3, 2016 
*math (1)
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = 0.01x^2  0.1 x +
asked by Vanessa on April 23, 2014 
cal
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = 0.01x^2  0.3x +
asked by jane on December 2, 2014 
calc
The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p = 0.01x^2  0.3x +
asked by jane on December 2, 2014 
SS
A company introduces a printer that does not require ink cartridges. As a result, the price of printers that use ink drops. What is another likely outcome? a) The price of ink cartridges goes up. b) The price of ink cartridges drops. *** c) The demand for
asked by Anonymous on April 24, 2017 
social studies
A company introduces a printer that does not require ink cartridges. As a result, the price of printers that use ink drops. What is another likely outcome? A. the price of ink cartridges goes up. B. the price of ink cartridges drops. C. the demand for ink
asked by oof on May 22, 2018 
Math Statistics
Suppose you work for the quality control department at Hewlett Packard. You know that ink jet cartridges are sometimes defective. The current defective rate is 8 cartridges per package of 100 (i.e. 0.08) What is the probability of sampling 12 cartridges
asked by Jaz on June 4, 2018 
Math
Suppose you work for the quality control department at Hewlett Packard. You know that ink jet cartridges are sometimes defective. The current defective rate is 8 cartridges per package of 100 (i.e. 0.08) What is the probability of sampling 12 cartridges
asked by Jaz on June 4, 2018 
math
tom need to buy ink cartridges and printer. each ink cartridges costs 30.00 dollars each ream of papers costs 5.00 dollars. he has 100 dollars to spend which combinations of ink cartridges and printers paper that he may purchase?
asked by lolita on February 5, 2019 
chesmistry 9 grade
advantage,disadvantage of zerob water purifier
asked by flash on July 13, 2011 
economics
Suppose a monopolist faces production function Q = 3KL and demand function Q = 12 − P. Derive the input demand (as a function of Q, r and w) for capital and labor.
asked by Yash on March 31, 2011 
math
Terrell has a water purifier for backpacking. It will purify 1 liter of water in 1 minute. How long would it take Terrell to purify enough water for 4 canteens that each hold 750 mL, and two that each hold 1.5 L?
asked by Rishita Papaiya on May 5, 2015 
statistics
An internet supplier of refilled ink cartridges for ink jet printers sold cartridges to 30,000 customers over the past two months. A random sample of 1000 of those customers revealed that 18% were not happy with their purchase. The margin of error was 2%.
asked by Anonymous on February 5, 2012 
Calculus
The marginal revenue for x items in dollars is given by R′(x)=−4.5x+6. Determine (a) the revenue function and (b) the demand function. I know the revenue function is R(x)=6x2.25x^2 just by finding the antiderivative. demand = revenue  cost, but how
asked by Ann on May 18, 2014 
Economic
Suppose that labor is the only input used by a perfectly competitive firm that can hire workers for $50 per day. The firm’s production function is as follows: Days of Labor/Units of Output: 0/0, 1/7, 2/13, 3/19, 4/25, 5/28, 6/29, 7/29 c. Compute the
asked by Mariah on December 4, 2006 
universityhealth economics
Given the following demand function for medical care: Q=1005p Where: P = is the price of health service. Q = quantity demanded. What is the quantity demanded at p = 5. Draw the demand curve for medical care. Suppose the price rise to (6), calculate the
asked by abdel salam on December 28, 2009 
Science 10
Need examples of food for Chemistry Reactions 1. Synthesis 2. Decomposition 3.Single Replacement 3. Double Replacement So for synthesis ( A + B > AB ) I did, Macaroni + Cheese > Mac n Cheese For Decomposition ( AB > A + B ) I did, Dough > Wheat +
asked by Rav on October 27, 2014 
economics
1. Chipo has the following utility function of 2 goods Pies (X) and fanta (Y): U= log X + log Y. (a) show that the consumer maximizes utility subject to the budget constraint. (b) derive the demand functions of good X and good Y. 2. You are given the
asked by hass on December 30, 2012 
economics
1. Chipo has the following utility function of 2 goods Pies (X) and fanta (Y): U= log X + log Y. (a) show that the consumer maximizes utility subject to the budget constraint. (b) derive the demand functions of good X and good Y. 2. You are given the
asked by hass on December 30, 2012 
economics
1. Chipo has the following utility function of 2 goods Pies (X) and fanta (Y): U= log X + log Y. (a) show that the consumer maximizes utility subject to the budget constraint. (b) derive the demand functions of good X and good Y. 2. You are given the
asked by hass on December 30, 2012 
Math
wxmaxima at which prices will make maximum profit if the demand function is q(x)=8.8*(sqrt(210.3*p^^2)). thank you
asked by Anita on January 13, 2012 
math
1) a company manufactures and sells a specialty watch. the financial reserach department detemines that at the price of $88 each, the demand would be 2,000 watches and at $38 each the demand will be 12,000 watches. A) assuming a linear relationship between
asked by Laly on November 6, 2009 
math
1) a company manufactures and sells a specialty watch. the financial reserach department detemines that at the price of $88 each, the demand would be 2,000 watches and at $38 each the demand will be 12,000 watches. A) assuming a linear relationship between
asked by Laly on November 6, 2009 
Math
There are 12 card numbered 1 to 12 in a box. If tow cards are selected, what is the probability that the sum is odd (I) with replacement (II) without replacement. SOLUTIONS (1/4,6/11) HOW I CAN SOLVE WITH REPLACEMENT. Knowing that Sample space (S) =
asked by Faroug on July 31, 2016 
Economics
An industry has only two firms producing outputs y1 and y2, respectively. The first firm has a cost function of TC(y1) = 20 + 20y1 and the second has a cost function TC(y2) = 10 + 5y2 + y22. The demand function for the product these firms make is Q = 120 
asked by EJ on November 22, 2014 
Economics
An industry has only two firms producing outputs y1 and y2, respectively. The first firm has a cost function of TC(y1) = 20 + 20y1 and the second has a cost function TC(y2) = 10 + 5y2 + y22. The demand function for the product these firms make is Q = 120 
asked by EJ on November 22, 2014 
Chemistry
Chemistry help!!!!!!!!!!!? Make a chart and define the following reactions using the following 3 examples methods. Wrie out in letter(a,b,c), Symbol(Na,Cl,O) An name form(sodium,chloride,oxygen) A direct combination b decompition C single replacement and D
asked by M on January 11, 2009 
calculus
let xf(p)=10(16p) be a demand function find the domain of this function and find where demand is elastic, inelastic, and unit.
asked by Brian on April 8, 2011 
algebra II
A set of input values is sometimes referred to as the replacement set for the independent variables. Evaluate each function for the given replacement set. f(x)=3x6;{3.5,1,1/4,2,11} f(x)=x(12x);{8,2/3,1,9,4}
asked by Kate on January 4, 2009 
algebra II
A set of input values is sometimes referred to as the replacement set for the independent variables. Evaluate each function for the given replacement set. f(x)=3x6;{3.5,1,1/4,2,11}
asked by Kate on January 4, 2009 
Calculus
Given the demand function q=1735p, determine the price where demand has unit elasticity.
asked by Melissa on November 4, 2010 
Calculus
Given the demand function q=1735p, determine the price where demand has unit elasticity.
asked by Melissa on November 4, 2010 
Agricultural Policy
Find the price and quantity that will satisfy the condition for static efficiency in the use of water resources given the following demand and supply equations for water: Demand: P=600Q Supply: P=2+Q
asked by jesse on February 17, 2009 
college/Agricultural policy
Find the price and quantity that will satisfy the condition fpr static efficiency in the use of water resources given the following demand and supply equations for water: Demand: P=600Q Supply: P=2+Q
asked by jesse on February 17, 2009 
Math
The demand for a commodity generally decreases as the price is raised. Suppose that the demand for oil (per capita per year) is D(p)=800/p barrels, where p is the price per barrel in dollars. Find the demand when p=55. Estimate the decrease in demand if p
asked by Anonymous on March 30, 2015 
Calc
The demand for a commodity generally decreases as the price is raised. Suppose that the demand for oil (per capita per year) is D(p)=800/p barrels, where p is the price per barrel in dollars. Find the demand when p=55. Estimate the decrease in demand if p
asked by Anonymous on March 30, 2015 
Calculus
Find the price elasticity of demand. The demand function for the product is p=402x
asked by Alan on April 17, 2012 
MATHS
demand function for kerosene: Kd=a0+a1Pk supply function for kerosene: Ks=b0+b1Pk+b2Pg demand function for gasoline: Gd=c0+c1Pg+u1 (ul here shows a exogenous random shock to the demand of gasoline) supply function for gasoline: Gs=d0+d1Pk+d2Pg a) if
asked by May on September 9, 2010 
economic
the demand function, P=200.5Q Determine the price elasticity of demand when P=2
asked by EMERIC on July 25, 2016 
economics
If the demand function is Qd=0.5+20,calculate the quantity demand when the price is 15.00?
asked by CEO on June 27, 2019 
finite
1. Alabama State University’s Bookstore has determined that the supply function for a certain author’s newest book is p = (1/300)q + 13. The demand function for this book is p = .03q + 19. Graph both demand and supply functions on the same set of
asked by cjones on April 29, 2012 
Micro economics
Consider a firm with the following production function: q = (ak+bl)^(1/2) The firm's total costs can be written as C = F + rk + wl 1. Calculate the firm's contingent factor demand. Illustrate it in a graph including the firm's isoquant map 2. Assume that
asked by Rasmus on April 8, 2014 
Economics
The demand function for two commodities A and B in a market are given as follows. QA=962PA3PB, QB=3025PA+0.32Y. Where PA and PB are prices of commodity A and B respectively, and Y is consumers average money income, given PA=#2, PB=#4, and Y=#1000.
asked by CUPSON on April 28, 2019 
Managerial Economics
Suppose you decide to produce a product and you discover it has a demand function given by; Q = 10P^0.5Y^0.75 (I) calculate the price elasticity of demand for the product. (ii) calculate the income elasticity of demand.
asked by Andrew on January 11, 2018 
Calculus with Analytical Geometry
1. A bullet is shot upwards with an initial velocity of 1000 ft/sec from a point 20 ft above groand its height above the ground at time t is given by h(t)=16t^2 + 1000t + 20. How high will the bullet go and how long will it take the bullet to reach the
asked by Sherianna on March 4, 2016 
Physics
a) Family Smith has already installed PV in their house. Now, they also want to cover their needs for warm water with solar energy. For this, they consider having a solar thermal water heating system. Considering that the need for warm water is 100L/day,
asked by youlifex on October 24, 2013 
math
9. Suppose that the total market demand for a product consists of the demands of individual 1 and individual 2. The demand equations of the two individuals are given by the following equations: QD,1 =20P QD,2 =605P Suppose that the total market supply is
asked by anon on September 29, 2019 
chemistry
I A QUESTION WHAT IS Mg+HCL>MgCL2 +H2 IS IT SYNTHESIS, SINGLE REPLACEMENT, DOUBLE REPLACEMENT OR DECOMPOSITION THX BYE Single replacement. Mg replaced the H.
asked by confused on December 5, 2006 
Math
The demand for rice in Japan for a particular year was estimated by the general function q = f (p) =Ap^(0.13), where p represents the price of a unit of rice, A represents a constant that can be calculated uniquely for a particular year, and q represents
asked by Jaki on April 1, 2014 
calcules
The demand for rice in Japan for a particular year was estimated by the general function q = f (p) =Ap^(0.13), where p represents the price of a unit of rice, A represents a constant that can be calculated uniquely for a particular year, and q represents
asked by wonderful on April 1, 2014 
calcules
The demand for rice in Japan for a particular year was estimated by the general function q = f (p) =Ap^(0.13), where p represents the price of a unit of rice, A represents a constant that can be calculated uniquely for a particular year, and q represents
asked by Merfit on April 2, 2014 
Microeconomics
Assume the market demand of 500mls of mineral water is given by: P=9–0.25Qd and the market supply being Qs=12+12P. What is the quantity demand if the price of mineral water is $6
asked by Daniel Maleek on August 23, 2019 
economics
Let U(x; y) = 5x:8y:2 showing all derivation work, find: (a) the Marshallian demand functions for x and y (b) the Indirect Utility Function (c) the compensated demand functions xc and yc
asked by Anonymous on February 21, 2014 
Calculus 1
Find the equlibrium point for each pair demand and supply function. Demand:q = 880030x; supply:q = 7000+ 15x
asked by Blake on July 22, 2010 
Economics
There are 10 identical consumers whose demand is D: p = 20  10q. There are 10 identical firms, each firm's marginal cost is MC(q)= 5 + 5q. The market is competitive. a) derive the market demand function b) derive the market supply function c) what is the
asked by Andrea on February 4, 2013 
Chemistry..
1.What is going on at the atomic level if a precipitate forms in a double replacement reaction? 2. Has a single or double replacement reaction occured if water or a gas is formed? What would you perceive as evidence that a reaction has occured if either
asked by Anonymous on January 11, 2013 
calculus
Can anyone walk me through the steps of solving either of these problems? 1)Determine the percentage of change of f(x)=e^0.9x at x=15 and x=30 2)For the demand function q=150(245p^2), find E(p) and determine if the demand is elastic or inelastic (or
asked by Sally on April 10, 2008 
Calculus
The demand function for the Luminar desk lamp is given by the following function where x is the quantity demanded in thousands and p is the unit price in dollars. p = f(x) = 0.1x2  0.3x + 39 (a) Find f '(x). f '(x) = (b) What is the rate of change of the
asked by Mike on June 13, 2013 
econ
1. Consider a pure monopolist with shortrun total cost function given by STC = 1000 +200 Q + 12.5 Q2. Suppose also that this firm faces an inverse market demand function given by P = 800 – 20 Q. a. How much should this firm produce and what price should
asked by LB on July 5, 2011 
math help
Universal instruments found that the monthly demand for its new line of Galaxy Home Computers t months after placing the line on the market was given by D(t) = 2900 − 2300e−0.08t (t > 0) Graph this function and answer the following questions. (a) What
asked by Ellen on July 20, 2012 
Calculus
Universal instruments found that the monthly demand for its new line of Galaxy Home Computers t months after placing the line on the market was given by D(t) = 2900 − 2300e−0.08t (t > 0) Graph this function and answer the following questions. (a) What
asked by Emma on July 19, 2012 
Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation p(x) = 100e^0.0001x f or 0 _< x _< 20,000 a. Find the revenue function,R. (Hint: R(x)= x(p(x)), since the
asked by Tima on April 10, 2013 
Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation p(x) = 100e^0.0001x f or 0 _< x _< 20,000 a. Find the revenue function,R. (Hint: R(x)= x(p(x)), since the
asked by Wiz on April 9, 2013 
Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation P(x) = 100e^0.001x f or 0 _< x _< 20,000. a. Find the revenue function, R. (Hint: R(x) = x(p(x)), since the
asked by Wiz on April 12, 2013 
Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation p(x) = 100e^0.0001x f or 0 _< x _< 20,000 a. Find the revenue function,R. (Hint: R(x)= x(p(x)), since the
asked by Tima on April 11, 2013 
Calculus
The unit selling price p (in dollars) and the quantity demanded x (in pairs) of a certain brand of women’s shoes are given by the demand equation P(x) = 100e^0.001x f or 0 _< x _< 20,000. a. Find the revenue function, R. (Hint: R(x) = x(p(x)), since the
asked by Wiz on April 12, 2013 
Calculus
A company is increasing production at the rate of 25 units per day. The daily demand function is determined by the fact that the price (in dollars) is a linear function of q. At a price of $70, the demand is 0, and 100 items will be demanded at a price of
asked by John on April 6, 2010 
Algebra
You operate a gaming Web site, where users must pay a small fee to log on. When you charged $3 the demand was 520 logons per month. When you lowered the price to $2.50, the demand increased to 780 logons per month. (a) Construct a linear demand function
asked by Erin on February 21, 2012 
Math  Limits/Derivatives
If a pricedemand equation is solved for p, then price is expressed as p = g(x) and x becomes the independent variable. In this case, it can be shown that the elasticity of demand is given by E(x) =  [g(x) / xg'(x)]. Use the given pricedemand equation to
asked by Jess on October 19, 2013 
Statistics
a) What is sampling with replacement? (b) What is sampling without replacement? c) How does sampling without replacement affect the probability of events, compared to sampling with replacement?
asked by Anonymous on February 16, 2014 
Math
Supply function 300_p2+29=0. Demand function p2+4q=16. Find the equilibrium price
asked by Chiamaka on March 26, 2019 
statistics
supply function p = 15x900 demand function p = 2x + 530 find the point of equilibrium
asked by Wayne on September 20, 2013 
Math
A company is increasing production at the rate of 25 units per day. The daily demand function is determined by the fact that the price (in dollars) is a linear function of q. At a price of $70, the demand is 0, and 100 items will be demanded at a price of
asked by Alex on April 6, 2010 
Chemistry
I need some help with net ionic equations. I can do single replacement, double replacement, etc., but I don't get stuff like gas formingreactions or the trends when stuff like a strong acid and water are the reactants. Examples: 1. Moist sodium hydroxide
asked by Nikki on November 7, 2009 
calculas for economics
If the demand function=900030p and the cost function=90000+30x then find break even point
asked by ibsaa on November 14, 2017 
Business Math
3.) The demand equation for a certain product is q=50040p+p^2 here p is the price per unit (in dollars) and q is the quantity of units demanded (in thousands). Find the point elasticity of demand when p = 15. If this price of 15 is increased by 1/2%, what
asked by pypski on December 15, 2016 
economics
demand function of a monopolist is given as Q=50  0.5p while the cost function is given as C= 50 + 40q. calculate equilibrium quantity and profit maximizing output.
asked by kazeem on April 2, 2019 
Microeconomic
1. Supply and Demand. Elasticities. Suppose you have the following information about the supply and demand in the market: QD = 15000 – 500*P QS = 6000 + 3000*P a. What is the equilibrium price and quantity? b. What would be the combination of price and
asked by Kimi on September 25, 2018 
Micro Economics
Briefly explain the following: (a)Economic cost and accounting cost. (b)Free market economy and mixed economy. (c)Marginal utility theory and indifference curves analysis. Please note that we don't do students' homework for them. Once YOU have come up with
asked by Christine on March 23, 2007 
math
Data were recorded for the demand and revenue of a given product. Find the linear regression line which represents the revenue function. Find the quadratic regression curve which represents the revenue function. Data Demand x Revenue y 1 0 100 2 4 139.2 3
asked by Jake on October 15, 2014 
College Algebra
Hello  I am stuck on this problem and I'm in serious need of some help. I don't understand this question at all. The problem is: Find the equilibrium quantity and equilibrium demand function for the given: Supply: P=45q Demand: P=q^2+10,000
asked by Jessica on February 9, 2013 
math
The demand function for a certain commodity is approximated by: p = 100eq/2where "q" is the number of units demanded at a price of "p" dollars per unit. If there is no demand for the product, what will its price be(in dollars)?
asked by tanya on April 3, 2012 
Economics  Cournot Model
There is one firm with a marginal cost of 0. It's monopoly price is 10. Another firm enters, also with zero marginal cost. Using the Cournot model, would would the new oligopoly price be? Can this question be answered without more information about the
asked by Jennifer on January 26, 2007 
Calculus
DEMAND FUNCTION: p = 4920.15x^2 COST FUNCTION: C = 920+87x Find the number of items (x) that will produce maximum profits.
asked by John on November 4, 2009 
Micro econ
1: Suppose John had a utility function of U=X^2/3Y^1/3 . Derive Johns demand function from his utility function showing all the necessary steps. i know that the MUx=MUy and first i derive the equation to 2/3X^1/3 1/3Y^2/3 then im stuck i need help with
asked by Brett on September 18, 2007 
chemistry
For each of the following chemical reactions: a.)classify the reaction as combination, decomposition,single replacement, or double replacement. b.)complete the word equation. c.)using the formulas for both reactants and products, balance the chemical
asked by Yeah on September 23, 2008 
precalculus
You are given a pair of equations, one representing a supply curve and the other representing a demand curve, where p is the unit price for x items. 45 x^2  74.5199999999995 x + 15921.36  1224.72 p = 0 and 54 x^2 + 1743.12 x + 13880.16  6940.08 p = 0
asked by Irina on October 14, 2014 
managerial economics
firms demand function,p=240.54q and the average cost function,AC=Q28Q+36+3/Q,calculate the level of output Q, which maximize total revenue,maximizes profits
asked by kala on October 19, 2010 
chem
I have to balance an equation and I had to make the equation from an experiment we did. So far, my equation looks like this and I know what I have is correct: Cu(NO3)2+H20+NaOH>Cu(OH)2 I think I probably need an N or a Na on the right side. What do
asked by Abby on March 5, 2007 
Economics
Aggregate demand is the total demand in our economy as it is made up of many different components. In our economy, you will find that changes in the aggregate demand will affect both consumers and businesses. What are the major challenges of these changes
asked by Tommie on October 19, 2018 
calculus
(1 pt) A new software company wants to start selling DVDs with their product. The manager notices that when the price for a DVD is 15 dollars, the company sells 132 units per week. When the price is 27 dollars, the number of DVDs sold decreases to 84 units
asked by mae on October 12, 2010 
math
A new software company wants to start selling DVDs with their product. The manager notices that when the price for a DVD is 20 dollars, the company sells 139 units per week. When the price is 34 dollars, the number of DVDs sold decreases to 91 units per
asked by kim on October 8, 2010 
math
A new software company wants to start selling DVDs with their product. The manager notices that when the price for a DVD is 20 dollars, the company sells 139 units per week. When the price is 34 dollars, the number of DVDs sold decreases to 91 units per
asked by kim on October 10, 2010 
calculus
(1 pt) A new software company wants to start selling DVDs with their product. The manager notices that when the price for a DVD is 15 dollars, the company sells 132 units per week. When the price is 27 dollars, the number of DVDs sold decreases to 84 units
asked by mae on October 13, 2010 
math
A new software company wants to start selling DVDs with their product. The manager notices that when the price for a DVD is 20 dollars, the company sells 139 units per week. When the price is 34 dollars, the number of DVDs sold decreases to 91 units per
asked by kim on October 10, 2010
Pages
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
 100
 101
 102
 103
 104
 105
 106
 107
 108
 109
 110
 111
 112
 113
 114
 115
 116
 117
 118
 119
 120
 121
 122
 123
 124
 125
 126
 127
 128
 129
 130
 131
 132
 133
 134
 135
 136
 137
 138
 139
 140
 141
 142
 143
 144
 145
 146
 147
 148
 149
 150
 151
 152
 153
 154
 155
 156
 157
 158
 159
 160
 161
 162
 163
 164
 165
 166
 167
 168
 169
 170
 171
 172
 173
 174
 175
 176
 177
 178
 179
 180
 181
 182
 183
 184
 185
 186
 187
 188
 189
 190
 191
 192
 193
 194
 195
 196
 197
 198
 199
 200
 201
 202
 203
 204
 205
 206
 207
 208
 209
 210
 211
 212
 213
 214
 215
 216
 217
 218
 219
 220
 221
 222
 223
 224
 225
 226
 227
 228
 229
 230
 231
 232
 233
 234
 235
 236
 237
 238
 239
 240
 241
 242
 243
 244
 245
 246
 247
 248
 249
 250
 251
 252
 253
 254
 255
 256
 257
 258
 259
 260
 261
 262
 263
 264
 265
 266
 267
 268
 269
 270
 271
 272
 273
 274
 275
 276
 277
 278
 279
 280
 281
 282
 283
 284
 285
 286
 287
 288
 289
 290
 291
 292
 293
 294
 295
 296
 297
 298
 299
 300
 301
 302
 303
 304
 305
 306
 307
 308
 309
 310
 311
 312
 313
 314
 315
 316
 317
 318
 319
 320
 321
 322
 323
 324
 325
 326
 327
 328
 329
 330
 331
 332
 333
 334
 335
 336
 337
 338
 339
 340
 341
 342
 343
 344
 345
 346
 347
 348
 349
 350
 351
 352
 353
 354
 355
 356
 357
 358
 359
 360
 361
 362
 363
 364
 365
 366
 367
 368
 369
 370
 371
 372
 373
 374
 375
 376
 377
 378
 379
 380
 381
 382
 383
 384
 385
 386
 387
 388
 389
 390
 391
 392
 393
 394
 395
 396
 397
 398
 399
 400
 401
 402
 403
 404
 405
 406
 407
 408
 409
 410
 411
 412
 413
 414
 415
 416
 417
 418
 419
 420
 421
 422
 423
 424
 425
 426
 427
 428
 429
 430
 431
 432
 433
 434
 435
 436
 437
 438
 439
 440
 441
 442
 443
 444
 445
 446
 447
 448
 449
 450
 451
 452
 453
 454
 455
 456
 457
 458
 459
 460
 461
 462
 463
 464
 465
 466
 467
 468
 469
 470
 471
 472
 473
 474
 475
 476
 477
 478
 479
 480
 481
 482
 483
 484
 485
 486
 487
 488
 489
 490
 491
 492
 493
 494
 495
 496
 497
 498
 499
 500
 501
 502
 503
 504
 505
 506
 507
 508
 509
 510
 511
 512
 513
 514
 515
 516
 517
 518
 519
 520
 521
 522
 523
 524
 525
 526
 527
 528
 529
 530
 531
 532
 533
 534
 535
 536
 537
 538
 539
 540
 541
 542
 543
 544
 545
 546
 547
 548
 549
 550
 551
 552
 553
 554
 555
 556
 557
 558
 559
 560
 561
 562
 563
 564
 565
 566
 567
 568
 569
 570
 571
 572
 573
 574
 575
 576
 577
 578
 579
 580
 581
 582
 583
 584
 585
 586
 587
 588
 589
 590
 591
 592
 593
 594
 595
 596
 597
 598
 599
 600
 601
 602
 603
 604
 605
 606
 607
 608
 609
 610
 611
 612
 613
 614
 615
 616
 617
 618
 619
 620
 621
 622
 623
 624
 625
 626
 627
 628
 629
 630
 631
 632
 633
 634
 635
 636
 637
 638
 639
 640
 641
 642
 643
 644
 645
 646
 647
 648
 649
 650
 651
 652
 653
 654
 655
 656
 657
 658
 659
 660
 661
 662
 663
 664
 665
 666
 667
 668
 669
 670
 671
 672
 673
 674
 675
 676
 677
 678
 679
 680
 681
 682
 683
 684
 685
 686
 687
 688
 689
 690
 691
 692
 693
 694
 695
 696
 697
 698
 699
 700
 701
 702