How to sketch graph of

9,949 results, page 94
  1. caluclus homework help

    (1) A toy truck travels at a rate of 0.5t ft/sec after t seconds of travel (so after 6 seconds the truck is traveling 3 ft/sec). a) Graph the speed of the truck vs. time for 0<t<10. b) Find the distance the truck has traveled in the first t seconds
  2. math2

    If you have a line plot with a bag of nuts(in pounds) and there is 1/8 on the graph with 8 x marks on of it bags, 1/4 with 4 x on top of it bags, and 1/2 with 4 x marks on top of it bags. The question goes as follow, Amy filled bags with nuts. She weighed
  3. help i have no idea!!!!!! math

    The Men's Warehouse has suites on sale for buy one full priced, get the second 40% discounted and the third 70% discounted. If a full priced suit costs $380, what should someone expect to pay for three suites? Amy has been saving for her high school
  4. Pre-calculus HELP PLASE !

    1.Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 2.Write the equation –2x + 6y = 7 in polar form. 3.Graph the polar equation 2 = r cos(theta – 20°). 4. Write the polar equation in rectangular form. r = –12 cos
  5. Physics

    We're studying projectile motion in my Physics class right now, and last week we went outside and hit tennis balls with a bat. Now we must make graphs showing the position of the ball in both the x and y directions. I must also explain why each line has
  6. Math

    A DVD producer has fixed costs (factory, machinery, and money paid to the recording artist) of $406,000. Additionally, for every DVD produced, the company spends $5 for materials and labor. The DVDs can be sold for $12 each. a) Define a function, which
  7. Math Homework Help!

    I made a lot of typos the first time i wrote it so i rewrote and edited the question Both antibiotics were prescribed in high dosage slow release capsules. The function C(x) = 5log(x+1)+10 models the concentration of levofloxacin in mol/L over a time x, in
  8. instantaneous rate of change problem

    Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, and 2π by
  9. Math ! Please Help !

    1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write the equation –2x + 6y
  10. Calculus please help !

    1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write the equation –2x + 6y
  11. Calculus 1

    14. The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $380 to drive 480 mi and in June it cost her $460 to drive 800 mi. a) Express the monthly cost C as a function of the distance driven d,
  12. algebra

    For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 8 28 16 56 20 70 (1 point) yes; y = 5x yes; y = x + 20 yes; y = 3.5x no; y does not vary directly with x 2. For the data in the table, does
  13. algebra

    Assume a 125 pound person burns 150 calories after 15 minutes of jogging and 200 calories after 20 minutes of jogging. Part 1: Write an equation to represent this data. Use calories as the y-coordinate and minutes as the x-coordinate. Part 2: What is the
  14. math

    The length of time that it takes for a pendulum to make one complete swing depends on the length of the pendulum. The time in seconds, T, is related to the length in metres, L, through the equation T=2π√ L/9.8 Write this equation in function
  15. advanced calculus

    Many carnivals have a version of the double Ferris wheel. A large central arm rotates clockwise. At each end of the central arm is a Ferris wheel that rotates clockwise around the arm. Assume that the central arm has length 200 feet and rotates about its
  16. Math (Calculus II) (Weird Work Problem Setup Help)

    I am trying to understand my teacher's example of a Work problem. Cut to the chase here's a picture of the problem: goo.gl/photos/AqZ6ENmHLg6heixD7 While I understand how to integrate fairly well, I'm still confused on how exactly my teacher set up the
  17. calculus

    Use a graph of f(x) = 3 e^{-8 x^2} to estimate the x-values of any critical points and inflection points of f(x). critical points x= Inflection points x= Next, use derivatives to find the x-values of any critical points and inflection points exactly.
  18. managerial economics

    U.S.Supreme Court Justice examines government's role in controlling & managing health risks. One major problem examined is cleanup of hazardous waste sites. He wish to see waste sites 100% clean. a. Explain, using theory of optimization & a graph, the
  19. Microeconomics

    3. An industry currently has 100 firms, all of which have fixed costs of $16 and average variable cost as follows: Quantity Average Variable Cost 1 $1 2 2 3 3 4 4 5 5 6 6 1) The price is currently $10. What is the total quantity supplied in this market? 10
  20. marketing

    QUESTION #1 cost analysis with graph office copier has an initial price of $2500. A service contract costs $200 for the first year and increases $50 per year thereafter. It can be shown that the total cost of the copier after n years is given by C(n)= 2500
  21. Quadratic Functions and Calculus

    Peter the punter decided to place $10,000 into a high growth share portfolio. After 3 weeks his investment was looking rather sad, with the value of his portfolio falling $2,025. Unperturbed, Peter stuck with his original plan to hold the stock for at
  22. Math

    If you are standing near the edge of the top of a 200 feet building and throw a ball vertically upward it will be modeled by the function s(t)=-16t^2+64t+200 where s(t) is the ball's height above ground in feet and t is seconds after the ball was thrown.
  23. Math

    If you are standing near the edge of the top of a 200 feet building and throw a ball vertically upward it will be modeled by the function s(t)=-16t^2+64t+200 where s(t) is the ball's height above ground in feet and t is seconds after the ball was thrown.
  24. Math

    The circle graph shows data on the suitability of land for farming. Which three categories together account for exactly half of the land? The percetage for Too Shallow is 13% The percentage for Chemical Problems is 25% The percentage for Too Dry is 30% The
  25. Physics

    Consider two vectors F~ 1 with magnitude 44 N inclined at 163 ◦ and F~ 2 with magnitude 72 N inclined at 236 ◦ , measured from the positive x axis with counterclockwise positive. What is the magnitude of the resultant vector F~ 1 + F~ 2 ? Draw
  26. Physics

    A testing laboratory wants to determine if a new widget can withstand large acceleration and decelerations. To find out, they glue a 5.0kg widget to a test stand that will drive it vertically up and down. At 0 seconds the widget is at an acceleration of
  27. Physics

    A testing laboratory wants to determine if a new widget can withstand large acceleration and decelerations. To find out, they glue a 5.0kg widget to a test stand that will drive it vertically up and down. At 0 seconds the widget is at an acceleration of
  28. Math

    #5. If a rancher has one cow with a contagious disease in a herd of 1000, then the time in days “t” for “n” of the cows to become infected is modelled by: t= -5ln((1000-n)/999n where “ln()” stands for natural logarithm function. a) Find the
  29. Math

    Given the following LP model (represented abstractly with decision variables X and Y), find the optimal solution using the ‘graphing’ approach. Minimize 5X + 2Y Subject to: 4X + 2Y >= 80 3X + 4Y <= 132 X + 3Y >= 45 2X - Y >= 0 And
  30. Economics

    I am trying to calculate the reduction in consumer surplus and producer surplus caused by the tax in this graph. The price with the tax is $12. The buyers pay $16. Sellers receive $8. The quantity has decreased from 25 to 15. The answers provided for the
  31. Pre-Calc

    Hello! I'm stuck on how to do this problem and would appreciate some help! Choose a non-zero complex number c for f(z) = z2+ c. Find a complex number v that is in the escape set. Find a complex number w that is in the prisoner set. Graph the first five
  32. Pre-Calculus

    Hello! I'm stuck on how to do this problem and would appreciate some help! Choose a non-zero complex number c for f(z) = z2+ c. Find a complex number v that is in the escape set. Find a complex number w that is in the prisoner set. Graph the first five
  33. math plz help

    please can someone help me do this problem. atleast help me find an equation to start with thank you. each page in a children's picture book has area 58 squared inches and a left side margin of 1.5 inches and top,bottom and right side margins of 0.5
  34. math

    ANSWER THESE NOW PLEASE !!!!!!! 2.yesterday ,a parking lot had 10 cars parked in it.of the cars parked in the parking lot l,40% were silver,3 were red,and the rest were blue.how many of the cars were blue? A.2 cars B. 5 cars C. 3 cars D. 8 cars 3.everyone
  35. Calculus

    *Note I reposted this question as I changed the subject** The Region "R" under the graph of y = x^3 from x=0 to x=2 is rotated about the y-axis to form a solid. a. Find the area of R. b. Find the volume of the solid using vertical slices. c. Find the first
  36. Physics HELP!!!!!!!!

    The pressure and volume of a gas are changed along a path ABCA in the figure. The vertical divisions on the graph represent 4.0 x 10^5 Pa, and the horizontal divisions represent 4.5 x 10^-3 m3. The diagram is a upright rectangle divided into small squares
  37. Math/Physics

    A golf ball is struck at ground level. The speed of the golf ball as a function of the, where t = 0 at the instant the ball is struck and intial velocity is 31 m/s. The golf ball hits the ground when t = 2.5 and v = 19, and then v increases as the ball
  38. physics

    What are the magnitude and direction of the particle’s acceleration? If a particle is moving along an x axis with a constant acceleration. Some points on the graph are (0, -2), (1,0), (2,6). I got 6 m/s to the right. is this correct? << got 6 m/s
  39. Physics

    I'm shown a graph with position on the y axis and time on the x axis. The question is what is the total displacement during the time interval. The position in (m) starts at 1.0 and goes to 6 and the time starts at 0-10.0 (s). The question is what is the
  40. math

    A store sells two types of nut mixtures. The standard mix contains 100 grams of cashews and 200 grams of peanuts and sells for $2. The deluxe mix contains 120 grams of cashews and 40 grams of peanuts and sells for $2.50. The store has 15kilograms of
  41. Math

    1. What percent of people chose the Ferris wheel or the carousel as their favorite ride? Other 19% Ferris wheel 18% Carousel 25% Roller coaster 38% A. 25% B. 37% C. 43% < -- C? D. 56% 2. Two hundred people were surveyed about their favorite ride at an
  42. polynomial functioms-check

    Can you please check my work and answers. Find the x-intercepts of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. 1.f(x) = (x + 1)(x - 3)(x - 1)^2 -I got -1 crosses the
  43. Objective functon

    An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to
  44. math

    A box and whisker graph showing beef hotdogs with high and low of 110-190 and meat hotdogs with high and low of 105-195 and poultry hot dogs with 85-170. This suggests that poultry dogs have fewer calories per dog than either beef or meat hotdogs. Yet, one
  45. Function: Rate of Change

    Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, and 2π by
  46. function rate of change

    Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, and 2π by
  47. Algebra 1

    A new toilet model has two different flush settings in order to conserve water. One setting uses 1.6 gallons per flush and the other setting uses .8 gallons per flush. The total amount of water w (in gallons) used in the first setting is given by the
  48. Chemistry

    For my lab, I have been asked to calculate the pKa of an unknown amino acid. We titrated the unknown amino acid with NaOH. The pKa needs to be calculated using the Henderson Hasselbach Equation. Obviously you can just get the pH from any point on the graph
  49. calculus

    Based on data from 1999 to 2001, the rate of change in the annual net sales of Pepsi-Cola North America may be modeled by R(t) = −131t − 749.5 million dollars per year and the rate of change in the annual operating profit may be modeled by P(t)
  50. Physics

    In a labratory experiment, a student measured the period of a swing for a 1 -kg pendulum for varing lengths, as shown below. Length (m) Period (s) 0.05 0.30 0.20 0.90 0.40 1.30 0.60 1.60 0.80 1.80 1.00 2.00 a.) Deterine the period of a pendulm whose length
  51. physics

    A 1.6 kg particle moving along the x-axis experiences the force shown in the figure. The particle's velocity is 4.2 m/s at x = 0 m. The figure or graph has F (N) along the y axis and velocity along the x axis. A diagonal line drops from positive 10 force
  52. Physics

    Vectors and Scalars Graph 1. determine the total distance traveled and the displacement made. A. 5.0 km 15 degrees east of north B. 5.0 km 20 degrees east of south C. 5.0 km east D. 5.0 km 30 degrees south of west E. 5.0 km 20 degrees east of south F. 5.0
  53. GED MATH

    You are given an equation of the form y = ax2 + bx + c. y = 4x2 + 2x − 3 (a) Use a graphing utility to graph the equation and to estimate the x-intercepts. (Use a zoom-in process to obtain the estimates; keep zooming in until the first three decimal
  54. College Algebra

    a paper manufacturing company recycles paper, cans and other sheet metal. the profit on the paper is $500 and the profit on the cans is $350 per pound A) write the objective function that models the daily profit B) the manufacture is bound by the following
  55. College Algebra

    a paper manufacturing company recycles paper, cans and other sheet metal. the profit on the paper is $500 and the profit on the cans is $350 per pound A) write the objective function that models the daily profit B) the manufacture is bound by the following
  56. intermediate algebra

    inequalities –1 ≤ x – 3 ≤ 5 –2x – 5 < –2 or x – 3 < –10 Be careful of how a negative x-term is handled in the solving process. Show all math work arriving at the solutions. •Show the solution sets written algebraically and as a
  57. economic

    10. Suppose, unfortunately , your mathematics and economics professors have decide to give tests 2 day from now and you can spend only a total of 12 hours studying for exams .After some thought, you conclude that dividend your study time equally between
  58. economic

    Suppose, unfortunately , your mathematics and economics professors have decide to give tests 2 day from now and you can spend only a total of 12 hours studying for exams .After some thought, you conclude that dividend your study time equally between each
  59. First Moment

    The Region "R" under the graph of y = x^3 from x=0 to x=2 is rotated about the y-axis to form a solid. a. Find the area of R. b. Find the volume of the solid using vertical slices. c. Find the first moment of area of R with respect to the y-axis. What do
  60. Microeconomics

    This is a 5 part question; (a-e)The question reads: Suppose that a market is described by the following supply & demand equations: Qs=2P & Qd=300-P a) Solve for the equalibrium price & quantity. (I think I understand this process.) b)Suppose that a tax of
  61. Math

    Your computer-supply store sells two types of inkjet printers. The first, type A, costs $237 and you make a $22 profit on each one. The second, type B, costs $122 and you make a $19 profit on each one. You can order no more than 120 printers this month,
  62. statistics

    Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is bonds perform well when lending rates are down and perform poorly when interest rates are up. Can the bond rate be predicted
  63. Maths

    The weight of a termite mound (y) in kilograms is measured each month (x) after it was first found. The mound after 1 month is found to be 2 kilograms and after 3 months it is measured at 18 kilograms. It is believed that the model connecting the weight of
  64. algebra

    Please help!!! Ray and Kelsey have summer internships at an engineering firm. As part of their internship, they get to assist in the planning of a brand new roller coaster. For this assignment, you help Ray and Kelsey as they tackle the math behind some
  65. Math

    A Ferris wheel has a diameter of 60 feet. When you start at the bottom of the Ferris wheel, you are 2 feet from the ground.The Ferris wheel completes one rotation in 2 minutes. Create a graph that represents your height relative to the center of the Ferris
  66. business Calc

    A real estate developer would like to analyze his revenue,cost and profit for a specific hosing project that is under construction.last month he sold 20 large houses for m$ 250000 and 10 small houses for $150000.The cost build large houses was
  67. Psyc Research Methods

    In the above study, the researchers reported the following mean femininity ratings (i.e. higher numbers indicate greater femininity): male- small meals (2.02) male- large meals (2.05) female- small meals (3.90) female- large meals (2.82) Assume that there
  68. Economics

    Some games of strategy are cooperative. One example is deciding which side of the road to drive on. It doesn’t matter which side it is as long as everyone chooses the same side. Otherwise, everyone may get hurt. Driver 2 Left Right Driver 1 Left 0,0
  69. Stats

    Question 3 Investment analysts generally believe the interest rate on bonds is inversely related to the prime interest rate for loans; that is, bonds perform well when lending rates are down and perform poorly when interest rates are up. Can the bond rate
  70. Math

    For the depth of water on Friday, 16 January 1998, the periodic function is: y = 1.05 sin 2pix/11.72 + 1.55 1.05 is the 'a' value 2pi/11.72 is the 'b' value 1.55 is the 'd' value we were told not to take into consideration the 'c' value in our equation 'y'
  71. Physics

    A girl throws a stone form the top of a building with an initial velocity of 20.0 m/s upward. The building is 50.0 m high and the stone just misses the edge of the roof on its way down. Draw a v vs t graph, find time needed for stone to reach max height,
  72. math

    Heather is solving an equation by graphing the expressions on both sides. If her graph intersects at an infinite number of points, which statement could describe the equation Heather is attempting to solve? A. One side of the equation is a constant, and
  73. Physics

    An astronaut has crash landed on a planet that little is known about (not even the acceleration due to gravity). She must descend a steeo cliff to find shelter, but wants to know how high the cliff is before making the attempts. She happens to have
  74. Instantaneous rate of change

    Please help.. Joe is investigating the rate of change of the function y=cos x on the interval xE[0,2π]. He notices that the graph of y=cos x passes through the x-axis at 45°. He also determines the instantaneous rate of change at x = 0, π, and
  75. ap algebra

    can you check my answers please? Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around, at each zero. f(x) = 2(x - 2)(x + 4)^4 2, multiplicity
  76. Calculus

    If the graph of the function y-(ax^2+b)/(x^2+cx+4) has vertical asymptotes x=1,x=4, a horizontal asymptote of y=2 and x-intercepts at x=+-2, find a, b and c. Answers: a=2, b=-8 and c=-5 I found a and b but I'm having trouble finding c. I made y=0 and x=2
  77. MATH HELP ASAP

    PLEASE. 1. A frog jumps from a rock to the shore of a pond. Its path is given by the equation y=(-5/72)x^2+(5/3)x, where x is the horizontal distance in inches, and y is the height in inches. What is the frog's maximum height? How far had it traveled
  78. Please check my Caclulus

    1. Find all intervals on which the graph of y=(x^2+1)/x^2 is concave upward. A. (negative infinity, infinity) B. (negative infinity, -1) U (1, infinity) C. (negative infinity, 0) U (0, infinity) D. (1, infinity) E. none of these I got C. I found the second
  79. nutrition

    Date of W.I.C Appointment Jonathan's Age Jonathan's Height Jonathan's Weight Lab Values: Hemoglobin Lab Values: Lead 8/1/05 30 months 35.5 inches 27 lbs 10.3 10.2 5/2/05 27 months 35 inches 26.5 lbs 2/4/05 24 months 34.5 inches 26 lbs Your first step is to
  80. calc

    1. Let R be the region bounded by the x-axis, the graph of y=sqr(x) , and the line x=4 . a. Find the area of the region R. b. Find the value of h such that the vertical line x = h divides the region R into two regions of equal area. c. Find the volume of
  81. calculus

    v(t)= Ce^(k(square root(t)) Suppose that the dealer, who is 25 years old, decides to sell the card at time , sometime in the next 40 years: 0< or equal to t < or equal to 40. At that time , he’ll invest the money he gets for the sale of the card in
  82. susane

    I have a question concerning waves. What effect does increasing the tension in a vibrating string have upon wavelength? I was thinking that as the weight increases more standing waves are created. As more standing waves are created, the wavelength
  83. Math Test

    1. A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C=0.20m+150.00 describes the relationship between the number of miles driven m and the total cost C. If the rental car can only be
  84. Algebra - rate of change help

    The price of products may increase due to inflation and decrease due to depreciation. David is studying the change in the price of two products, A and B, over time. The price f(x) in dollars, of product A after x years is represented by the function below.
  85. Drawing polar curve

    How do you draw a polar curve? For example, r=2+cos2(thetha) You need to plot points where theta varies from 0 to 2pi, unless you have a graphing program (which I do). Your example looks like 2 overlapping circles. so u mean that it can't be drawn by hand?
  86. Algebra 1- Urgent

    Part A: Sam rented a boat at $225 for 2 days. If he rents the same boat for 5 days, he has to pay a total rent of $480. Write an equation in the standard form to represent the total rent (y) that Sam has to pay for renting the boat for x days. (4 points)
  87. Algebra

    The women’s recommended weight formula from Harvard Pilgrim Healthcare says, "Give yourself 100 lb for the first 5 ft plus 5 lb for every inch over 5 ft tall." a. Find a mathematical model for this relationship, where W be the recommended weight in lbs
  88. Math-Advanced Pre-Algebra

    A computer repair shop charges a flate rate of 50$ plus $35 per hour spent repairing each computer. LEt h be the number of hours spent repairing a computer. Use function notation to write an equation that gives the total charges for repairing a compujter
  89. statistics

    Use the following table to answer the questions. (Give your answers correct to two decimal places.) x 1 1 3 3 5 5 7 7 9 9 y 3 1 3 1 6 3 6 1 4 4 (a) Find the equation of the line of best fit. y hat = + x (ii) Graph this equation on a scatter diagram. (Do
  90. Math HELP PLEASE! QUICK!

    1.Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 2.Write the equation –2x + 6y = 7 in polar form. 3.Graph the polar equation 2 = r cos(theta – 20°). 4. Write the polar equation in rectangular form. r = –12 cos
  91. calculus1

    Please help I want to post a picture but Jiskha doesn't allow me so I just describe what I see.the derivative tangent line curve start at (0,1/2). It curve downward pass the x-axis at (1,0)until it reach a local minimum at (2,-1)then it curve upward until
  92. math, help

    can someone give me suggestions i am learning how to graph linear equations with two variables. What are two methods of graphing lines? That include order pairs, axes,slope, and intercepts. Can some help me when you get a few minutes i'll appreciate it....
  93. Math

    It is a beautiful sunny day at the fair. The U.V. index for this day is 8, or high, so sunscreen is a must for all the young folk. The effectiveness of sunscreen is indicated by the sunscreen protection factor (SPF). The higher the SPF number the fewer
  94. math

    It is a beautiful sunny day at the fair. The U.V. index for this day is 8, or high, so sunscreen is a must for all the young folk. The effectiveness of sunscreen is indicated by the sunscreen protection factor (SPF). The higher the SPF number the fewer
  95. Physics

    An ant walks on a piece of graph paper straight along the x axis a distance of 10.0 cm in 2.00 s. It then turns left 30.0 degrees and walks in a straight line another 10.0 cm in 1.90 s. Finally, it turns another 70.0 degrees to the left and walks another
  96. math

    Solve the following algebraically. Trial and error is not an appropriate method of solution. You must show all of your work and write answers in rational form. 3 x + 7 = 9 Answer: x = 2/3 Show your work here: 3 x + 7 = 9 -7 - 7 3/3 x = 2/3 X = 2/3 b)
  97. business

    1. The appearance of a document can do all of the following EXCEPT: a.establish rapport with the audience. b. guide your readers' attention. c.substitute for the written text in the document.(*) d. build goodwill. 2. The design of a document reflects on
  98. Math889

    A particle moves according to a law of motion s = f(t), t ≥ 0, where t is measured in seconds and s in feet. f(t) = te−t/4 (a) Find the velocity at time t (in ft/s). v(t) = (b) What is the velocity after 1 s? (Round your answer to two decimal
  99. Pre-calc

    Please explain. I want to understand the steps. 1. A frog jumps from a rock to the shore of a pond. Its path is given by the equation y=(-5/72)x^2+(5/3)x, where x is the horizontal distance in inches, and y is the height in inches. What is the frog's
  100. Economics: Comperative Advantage

    Refer to Figure 4. Assume that Cliff and Paul were both producing wheat and corn, and each were dividing their time equally between the two. Then they decide to specialize in the product they have a comparative advantage in. As a result, total production