# Assume it costs Microsoft \$4,300 to manufacture 7 Xbox 360s and \$8,290 to manufacture 14. Obtain the corresponding linear cost function. C(x)= (what formula do I use to get the cost function, because I can't get it) What was the

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1. ## Algebra

Assume it costs Microsoft \$4,300 to manufacture 7 Xbox 360s and \$8,290 to manufacture 14. Obtain the corresponding linear cost function. C(x)= (what formula do I use to get the cost function, because I can't get it) What was the cost to manufacture each
2. ## Math

Assume it costs Microsoft \$4,300 to manufacture 7 Xbox 360s and \$8,290 to manufacture 14. Obtain the corresponding linear cost function. C(x)= (what formula do I use to get the cost function, because I can't get it) What was the cost to manufacture each

Assume it costs Microsoft \$4,700 to manufacture 7 Xbox 360s and \$8,690 to manufacture 14. Obtain the corresponding linear cost function.
4. ## math,correction

Assume that each situation can be expressed as linear cost function. Find the cost function in each case. Marginal cost \$90;150items cost \$16,000 to produce. this is what i end up. c(x)=90x-11900 That is correct if the cost function is linear, which is
5. ## math

A tire company determines that to manufacture a certain type of tire, it costs \$9000 to set up the production process. Each tire that is produced costs \$21 in material and labor. The company sells this tire to wholesale distributors for \$49 each. (a) Find
6. ## Algebra

A company manufactures high-end racing bicycles. The total cost to manufacture 28 bikes is \$25005. The daily fixed costs are \$2605. Fixed costs refers to expenses that must be paid even when producing zero bikes, such as rent, utilities, etc. Assume that
7. ## MATH

The cost to manufacture a product is proportional to the quantity produced, with a cost of \$270000 dollars per day when 900 items are produced. The cost to store n items is proportional to the square of n, with a daily storage cost of \$6480 dollars when
8. ## Maths

A company is planning to manufacture and sell a new headphone set. After conducting extensive market surveys, the research department provide the following estimates: Marginal costs function: c^' (x)=RM(40+0.4x) where x is the quantity sold for the fixed
9. ## Algebra

A manufacture sells watches for \$31. The manufacture has a fixed cost of \$6000 per month and variable cost of \$15 per watch. How many watches must be sold to break even? Please show all work!
10. ## ECONOMICS

suppose that the short run costs for a paintbrush manufacturer are given by the expression: TC= 100+2Q+.01 Q2 A. WAT ARE THE FIXED COSTS OF THIS MANUFACTURE? B. WHAT ARE THE TOTAL COSTS , AVERAGE COST, AVERAGE VARIABLE COST AND MARGINAL COST AT 50 AND 100
11. ## math,algebra

I have to write a linear cost function for the situation given. And identifying all variables used. the problem reads: A parking garage charges 50cents plus 35 cents per hal-hour. This is what i tried but i am definately not sure how to do it: cost
12. ## calculus

a company maufacturing surfboards has fixed costs of \$300 per day and total costs of \$5100 per day for a daily output of 20 boards. Assume the total cost per day C(x) is linearly related to the total output per day x. write an equation for the cost
13. ## Math

To obtain a rough estimate of the development cost, Abigail, the accountant working for Pinecrest Enterprises, assumes that the total cost C (in millions of dollars) is given by the formula C= 20y + 15, where y is the cost per subdivision. If x represents
14. ## calculus

A company manufacturing surfboards has fixed costs of \$300 per day and total costs of \$5100 per day for a daily output of 20 boards. Assume the total cost per day C(x) is linearly related to the total output per day x. Write an equation for the cost
15. ## Basic math for science

A sportswear manufacture determines that the marginal cost of producing x worm-up suits is given in dollars by 20-0.015x.if the cost of producing one suits is \$25,find the cost function and the cost of producing 50 suits and 100 suits
16. ## Calculus

The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her \$410 to drive 300 mi and in June it cost her \$470 to drive 600 mi. (a) Express the monthly cost C as a function of the distance driven, d, assuming
17. ## quantitative analysis

consider a manufacture whose total cost of producing x items is given by c(x) = 10000 + 5x+1/9x^2 a) what is the average cost function of A(x) = c(x)/x? b)how many items should the manufacturer produce in order to minimize average cost? c)what is the
18. ## Algebra

A manufacture of CD player has monthly fixed cost of 8600 and variable cost of 55 per unit for one particular model. The company sells this model to dealers for 115 each. Which is their function for the profit. Please show all work.
19. ## algebra

1) It took a contractor 1285 hours to manufacture their first unit of an item. If the contractor expects to achieve a 92% unit learning curve, how many hours would be required to manufacture units 51-100? (Use the tables provided in the lesson). 290,475
20. ## Finite Math

A Specialty shop owner used a revenue function and a cost-volume function to analyze his monthly sales. one month he found that with a sales volume of 1465 items he had revenues of \$32,962.50 and a total cost of \$26,405.50. Another month he had total costs
21. ## Math

A small truck is to be driven 300 miles on a freeway at a constant speed of x miles per hour. Speed laws on the freeway require that a truck must be driven between 30 miles per hour and 70 miles per hour. assume that fuel cost \$3.50 per gallon. in
22. ## Econ

A firm faces the following Average Cost function AC=1500Q^-1 + 300-27Q+1.5Q^2 Calculate the output level that minimizes: a) Marginal Cost b)Average Variable cost I need some help on this question. Thanks. If the average cost is AC=1500Q^-1 + 300-27Q+1.5Q^2
23. ## Math

Assume that it costs Apple approximately C(x) = 36,100 + 100x + 0.01x^2 dollars to manufacture x 30-gigabyte video iPods in a day. How many iPods should be manufactured in order to minimize average cost? What is the resulting average cost of an iPod? (Give
24. ## 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,
25. ## algebra

A rental company purchases a truck for \$14,500. The truck requires an average cost of \$6.75 per day in maintenance. (a) Find a linear function that expresses the total cost C of owning the truck after t days. C(t) = (b) The truck rents for \$55.00 a day.
26. ## algebra

A company that manufactures bikes has a fixed cost of \$8,000. It cost \$800 to produce each bike. The total cost for the company is a sum of fixed cost and variable costs. Write the total cost, C, as a function of the number of bikes produced x then find
27. ## Quantitative analysis

If we produce 350 units of output, the total cost is \$11,500. It costs us \$12,900 to produce 420 units. If we assume the relationship is linear, determine the cost function.
28. ## algebra

A rental company purchases a truck for \$14,500. The truck requires an average cost of \$6.75 per day in maintenance. (a) Find a linear function that expresses the total cost C of owning the truck after t days. C(t) = 1 (b) The truck rents for \$55.00 a day.
29. ## math 117 algebra

The cost i dollarsof manufacturing w wing nuts is given by the expression 0.07w + 13.3. Find the cost when 375 wing nuts are made. What is the average cost to manufacture one wing nut? Put in 375 for w, and compute the cost. Average cost= costabove/w I'm
30. ## MATHS

A company is a monopolist. The demand function for its product is as follows: Q = 60 – 0.4P + 6Y + 2A Where Q = quantity sold in units P = Price per unit Y = per capita disposal income (thousands of dollars) A = hundreds of dollars of advertising
31. ## Maths;function i need help

(1):Given the cost function c(x)=10+2x and the revenue functio r(x)=3x,find break even quantity and the price (2):if the marginal cost of producing x unit is given by c'(x)=0.4x^3+2x and the fixed cost is p4000.00 find the cost function c(x) and cost
32. ## calculus

In your new job as a strategic planner at BusCalcInc, you have been asked to evaluate a proposal for manufacturing a new product. Other analysts have determined that a linear function is a reasonable estimate for the total cost C(x) in dollars to produce x
33. ## Multivariate Calculus

The marginal cost function is MC(q)=300-10q, where 'q' is the number of tons of coffee produced. Fixed costs are \$1000. The marginal revenue function is MR(q)=500-20q. The value of the profit function P(q) when q=25 is closest to? And the Average Cost when
34. ## COLLEGE MATH

a manufacture of brand A jeans has daily production costs of C =0.2x^2 -96x+12,095 where C is the total cost in dollars and x is the number of jeans produced. How many jeans should be produced each day in order to minimize costs? what is the minimum daily
35. ## Math

A company manufactirung snowboards has fixed costs of \$200 per day and total cost of \$3800 per day at a daily output of 20 boards. (A( Assuming that the total cost per day, C(x), is linearly related to the taotal out per dau,x, write an equation for the
36. ## math

a car travels at a constants speed and uses G(x) litres of gas per kilomotre, where x is the speed of the car in kilomotres oer hour and G(x)=(1280+x^2)/(320x) a>if fuel costs 1.29 per litre, determine the cost function C(x)that expresses the cost of
37. ## economics

6)Assume the graph below represents the market demand for a patented prescription drug together with the firm-level marginal cost and average cost functions for producing the drug. Assume these cost curves do not reflect R&D costs of developing this drug,
38. ## Pre-Calculus

If a manufacturer has fixed costs of \$ 300 , a cost per item for production of \$ 60 , and expects to sell at least 100 items, how should he set the selling price to guarantee breaking even? I set up the cost function by writing 300 + 60x, but I don't know
39. ## math

The function gives the cost to manufacture x items. C(x) = 20,000 + 5x − x2 20,000 ; x = 20,000 Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production level of x, where x is
40. ## algebra

A 3-mi cab ride costs \$3.00. A 6-mi cab ride costs \$4.80. Find a linear equation that models cost c as a function of distance d. write your linear equation using function notation.
41. ## Rational Functions Word Problem

A car travels at a constant speed and burns g(x) litres of gas per kilometer, where x is the speed of the car in kilometers per hour and g(x) = 1280 + x^2/320x a) If gas costs \$1.29 per litre, find the cost function C(x) that expresses the cost of the fuel
42. ## calculus

the marginal cost function for widgets is dr/dq= 0.001Q^2+0.01Q+10 total fixed xosts equal \$500 part 1= convert the marginal cost function into total cost function. part 2= determine total costs when Q=100.
43. ## pre-calculus

A company plans to manufacture a container having the shape of a right circular cylinder, open at the top, and having a capacity of 24pi cubic inches. If the cost of the material for the bottom is \$.30 per square inch and that for the curved sides is \$.10
44. ## Maths

Demand function P=50-Q Average Cost 5Q + 40 +10/Q Calculate the firm's total cost function Find the marginal cost function and evaluate it at Q=2 and Q=3 What is the total revenue function Find the firms's revenue maximising output level Find the firm's
45. ## Calc

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 montly cost C as a function of the distance driven d, assuming
46. ## algebra

The one day cost of renting a truck for a local move is a function of the number of miles put on the truck. The cost c in dollars is determined from the mileage m by the linear function C(m) = 0.42m + 39. Find the cost for 66 miles.
47. ## math correction

is this correct? Marginal Cost of Coffee The manager of a restaurant found that the cost to produce 100 cups of coffee is \$11.02, while the cost to produce 400 cups is \$40.12. Assume the cost is a linear function of x, the number of cups produced. a. Find
48. ## Precalculus

Johnny's Tumblers sells plastic cups in bulk for start-up restaurants. Their cost for producing these is modeled by: c(x) = 0.02x^2 + 0.5x + 40 a) Since the marginal cost is found by taking the derivative, the formula for c'(x)= ? (My answer: 0.04x + 0.5)
49. ## Math

A radio cost a company \$45 to manufacture. If it sells for \$97.65, what is the percent markup based on cost.
50. ## Precalculus

The cost of manufacturing lawn mowers is \$12,320 in overhead costs and \$396 per lawn mower in production costs. Marketing studies show that the best selling price is \$452 per lawn mower. Find the cost function, C(x), the revenue function, R(x), and the
51. ## Math

Find the cost function if the marginal cost function is dC/dx=2x-15 and fixed costs are \$75.
52. ## economics

HELP!!!!! One and only Inc is a monopolist. The demand function for its product is estimated to be Q=60-0.4P +6Y+2A Y=3,000 P=Price per Unit Y=Per capita disposable personal income (thousands of dollars) A=hundreds of dollars of advertising expenses The
53. ## maths

A company is planning to manufacture and sell a new headphone set. After conducting extensive market surveys, the research department provide the following estimates: Marginal costs function: c^' (x)=RM(40+0.4x) where x is the quantity sold for the fixed
54. ## Algebra

Gymnast Clothing manufactures expensive soccer cleats for sale to college bookstores in runs of up to 500. Its cost (in dollars) for a run of x pairs of cleats is C(x) = 3000 + 9x + 0.1x2 (0 ≤ x ≤ 500). Gymnast Clothing sells the cleats at \$130
55. ## math

A: FUNCTION Q1. (a) The function C (x) = 25x + 80,000 express the total cost C (x) (in K£) of manufacturing x units of a product. If the maximum number of units which can be produced equals 20,000, state the restricted domain and range for this function.
56. ## Math

The weekly rental cost of a 20 foor recreational vehicle is \$129.50 plus \$0.15 per mile. -Find a linear function that express the cost C as a function miles driven m. - What is the rental cost if 860 miles are driven? -How many miles were driven if the
57. ## MAT101

1. What is a function? 2. What is a linear function? 3. What form does a linear function take? (I.e., What is the standard mathematical notation of a linear function?) 4. What is the formula for determining the slope of a line?
58. ## Algebra

Dan works at a hardware store. The employee discount is determined by the formula d = 0.15 (c − 10 ). Use the inverse of this function to find the cost of the item for which Dan received an \$18.00 discount. a. Find the inverse function that models
59. ## elements of calculus

cost, revenue, and profit are in dollars and x s the number of units cost: if the cost function for a particular good is C(x)= 3x^2 +6x + 600, what is the (a) marginal cost function (b) marginal cost if 30 units are produced? (c) interpretation of your
60. ## algebra

Cupcakes cost \$1.50 each to produce with fixed cost of \$50. a) Express the cost C, of producing the cupcakes as a linear function of x cupcakes produced. b)Find the average cost, C=C/x and simplify appropriately. c) What is the horizontal asymptote of C?
61. ## calculus

Suppose that the cost of operating a truck in Mexico is cents per mile when the truck runs at a steady speed of v miles per hour. The top speed of the truck is 100 mph. Assume that the driver is paid 10 dollars per hour to drive the truck, and he is to
62. ## percentages/word problem

A refrigerator costs a company \$1,600 to manufacture. If it sells for \$3,456, what is the percent markup based on cost? (Round to the nearest whole percent.)
63. ## Math

Speedy Printing charges \$23 for 200 deluxe business cards and \$35 for 500 deluxe business cards. Give that the cost is a linear function of the number of cards printed, find a formula for that function and find the cost of 700 business cards.
64. ## Calculus

Total cost to manufacture q microwaves a day is C(q)=3q^2+q+48.What level of product gives the least average cost and Can a microwaves be produces for less than \$30?
65. ## accounting

Production of 28,000 units, Variable cost to manufacture on one unit =\$12 fixed cost = \$240,000
66. ## Math

Speedy Printing charges \$23 for 200 deluxe business cards and \$35 for 500 deluxe business cards. Given that the cost is a linear function of the number of cards printed, find a formula for that function and find the cost of 700 business cards.
67. ## MATH

11.) A company produces a product for which the variable cost is \$12.30 per unit and the fixed costs are \$98,000. The product sells for \$17.98. Let x be the number of units produced and sold. a.) the total cost for a business is th sum of the variable cost
68. ## economics

ABC Machinery produces ice machine with historical (monthly) data in the Excel file. Please construct its short-run total cost function to answer the following questions: QUESTIONS 1. Given the data, please construct a Short-Run total cost (TC) function
69. ## math

Find the average cost function C associated with the following total cost function C. C(x) = 0.000007x3 - 0.06x2 + 110x + 76000 C(x) = ?? (a) What is the marginal average cost function C' ? C'(x) = ?? (b) Compute the following values. (Round your answers
70. ## algebra

The total cost (in dollars) for a company to manufacture and sell x items per week is C=50x+40 whereas the revenue brought in by selling all x items is R=68x−0.3x^2. How many items must be sold to obtain a weekly profit of \$200?
71. ## math

A company uses the function C(x)= 20.50x+2000, where C is the cost and x is the number of units it produces, to determine its daily costs. Find the inverse of the function and determine how many units are produced when the cost is \$625,000.
72. ## Math

Let C=f(q)=450+0.2q give the cost in dollars to manufacture q kg of a chemical. a) Which of the following statement(s) correctly explain the meaning of f^(−1)(C) b)Find a formula for f^(−1)(C)=

The RideEm bicycles factory can produce 100 bicycles in a day at a total cost of \$10,100, and it can produce 120 bicycles in a day at a total cost of \$10,700. A)Find a linear function that models the total cost for RideEm to produce x bicycles B) what are
74. ## Math

Can anyone help me with this? The marginal cost for items in dollars is given by C''(x) = 2x + 30. If the cost of producing 2 items is \$220, determine the cost function. What is the cost function? C(x)= _________________

A company uses the function C(x)=20.50+2000, where C is the cost and x is the number of units it produces, to determine its daily costs. Find the inverse of the function and determine how many units are produced when the cost is \$625,000.
76. ## algebra

electricity costs 7.57 a month plus 8.77 per kilo watt hour for the first 400 kWhr and 6.574 per kWhr for all useage over 400 in a month. what is the cost for 300 kWhr? 2638 What is the cost of 700? 7.57+8.77 times 400 and 6.574 times 300? 5487.77 I think.
77. ## calculus

A tank with a rectangular base and rectangular sides is to be open at the top. It is to be constructed so that its width is 4 meters and its volume is 36 cubic meters. Building the tank costs \$10 per square meter for the base and \$5 per square meter for
78. ## algebra

You can compute the cost of 5000, and 5001 mowers from the formula, then subtract. Another method is to take the derivative of the cost function with respect to n, giving you the cost per mower... C=200n+150000 dC/dn=200 dollars
79. ## Calculus

A company manufactures widgets. The daily marginal cost to produce x widgets is found to be C'(x) = 0.000009x^2 - 0.009x + 8 (measured in dollars per unit). The daily fixed costs are found to be \$120. a. Use this information to get a general cost function
80. ## Cost Accounting

Estimating a cost function, high-low method? Reisen Travel offers helicopter service from suburban towns to john F. Kennedy Airport. Each of it's 10 helicopters makes between 1,000 and 2,000 round trips per year. The records indicate that a helicopter that
81. ## math 111

The overhead or fixed cost for the company is 1,000 per week. In addition, the cost of manufacturing each boat costs\$200. Find an equation C=f(x) for the total cost per week where x is the number of boats manufactured in a week. b) Graph the total cost
82. ## economics

Assume the graph below represents the market demand for a patented prescription drug together with the firm-level marginal cost and average cost functions for producing the drug. Assume these cost curves do not reflect R&D costs of developing this drug,
83. ## economics

Assume the graph below represents the market demand for a patented prescription drug together with the firm-level marginal cost and average cost functions for producing the drug. Assume these cost curves do not reflect R&D costs of developing this drug,

It costs \$5,600 to manufacture a Jet Ski. If the desired percent markup based on cost is 48%, how much should each Jet Ski sell for?
85. ## Math

In Beloy's fish ball factory, it costs 25 pesos to make 15 pieces of fishball while it costs 40 pesos to make 27 pieces. Assuming that the total cost is described by a linear function, how much does it cost to make 19 pieces of fishball?
86. ## math

Let the total cost function C(x) be defined as follows. C(x) = 0.0008x3 - 0.04x2 + 99x + 4400 Find the average cost function C. C(x) = ?? Find the marginal average cost function C '. C '(x) = ??
87. ## Calc

A manufacture has been selling 1300 television sets a week at \$420 each. A market survey indicates that for each \$16 rebate offered to a buyer, the number of sets sold will increase by 160 per week. If the weekly cost function is 91000+140x, what value of
88. ## 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
89. ## HELP A.S.A.P. PLEASE: linear programming-maths

A company makes tennis and squash rackets. Each tennis racket requires two units of aluminum and one unit of nylon. Each squash racket requires 1.8 units of aluminum and 0.8 units of nylon. The company has 1000 units of aluminum and 800 units of nylon
90. ## Accounting 7

Job 31 has a direct materials cost of \$300 and a total manufacturing cost of \$900. Overhead is applied to jobs at a rate of 200 percent of direct labor cost. Use the relationships among total manufacturing costs, conversion cost, and prime cost to
91. ## Accouning 7

Job 31 has a direct materials cost of \$300 and a total manufacturing cost of \$900. Overhead is applied to jobs at a rate of 200 percent of direct labor cost. Use the relationships among total manufacturing costs, conversion cost, and prime cost to
92. ## Accounting 7

Job 31 has a direct materials cost of \$300 and a total manufacturing cost of \$900. Overhead is applied to jobs at a rate of 200 percent of direct labor cost. Use the relationships among total manufacturing costs, conversion cost, and prime cost to
93. ## Math

An open rectangular tank (no top) with volume 11 cubic meters has a square base. The base has side x m. Write an equation for the surface area of the tank as a function of the length x. Surface Area = ? b. The base costs 1.1 cents/square m and the sides
94. ## Algebra

As Sales Manager for Montevideo Productions, Inc., you are planning to review the prices you charge clients for television advertisement development. You currently charge each client an hourly development fee of \$2,600. With this pricing structure, the
95. ## math

The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^-1(C)=C/2-50 For B, the

John is considering adding balloons to the product line he sells at the shop. There will be a cost of \$200.00 for leasing the necessary equipment. The cost of buying balloons and helium and paying a worker is expected to be \$4.25 per unit (balloon). He
97. ## math

Help I can go this far and then lost. In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost
98. ## econ

The economist for the Grand Corporation has estimated the company’s cost function, using the times series data to be TC=50+16Q-2Q2+0.2Q3 a. Plot this curve for quanties 1 to 10 b. Calculate the average total cost, average variable cost and marginal cost
99. ## Pre algebra

My problem says The cost of a cell phone for one month is a linear function of the numbers of minutes used. The total cost for 20, 35, and 40 additional numbers Re shown. Then it gives a table where it's 20/48\$, 35/54\$ and 40/56\$ The first question is ,
100. ## Economics/Math

Suppose you are the manager of a small chemical company operating in a competitive market. Your cost of production can be expressed as C = 100 + Q2, where Q is the level of output and C is total cost. a. Is this a short-run cost function? b. What is the