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

139,980 results
  1. Calculus

    The cost of producing x units of a certain commodity is C(x)=1000+5.70x+0.7x^2 . What is the average rate of change of C with respect to x when the production level is raised from x = 100 to x = 120 and when the production level is raised from x = 100 to x

  2. Managerial Economics

    For a cost function C = 100 + 10Q + Q2, the average variable cost of producing 20 units of output is A. 10 B. 20 C. 30 D. None of the statements associated with this question are correct

  3. Algebra

    83. Minimizing Marginal Cost The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is $6.20, it cost $6.20 to increase production from 49 to

  4. Math

    The cost (in dollars) of producing x air conditioners is C=g(x)=560+40x. Find a formula for the inverse function g−1(C).

  5. economics

    Suppose a monopolist faces an inverse demand function P=100-1/2Q, and the monopolist has a fixed marginal cost of $20. How much more would the monopolist make from perfect price discrimination compared to simply producing where marginal revenue equals

  6. Math Check please

    Suppose c is inversely proportional to the square of d. If c = 4 when d equals 3.find the constant of proportionality and write the formula for c as a function of d c= 36/d^2 use your formula to find c when d is 5. is it 100/d2 or 100/5^2? I know the

  7. algebra

    A marketing department estimates that demand for a product is given by P=100-0.0001x, where P is price per unit and X is number of units. The cost C of producing x units is given by C=350,000+25x And the profit P for producing x units is given by P=

  8. Calculus

    The marginal cost for producing x units of a certain product is given by the formula MC = 0.001x^2-0.5x+66.5. A. What is the increase in the cost of the production if the production level is raised from 200 to 400 units? B. What is the average cost per

  9. Economics

    Suppose Honda's total cost of producing 4 cars is $225,000 and its total cost of producing 5 cars is $250,000 a)What is the average total cost of producing 5 cars b)What is the marginal cost of the fifth car? c)Draw the marginal cost curve and the average

  10. math

    The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing the Pulsar 25 is given by

  11. economics

    A profit-maximizing firm in a competitive market is currently producing 100 units of output. It has average revenue so $10, average total cost of $8 and fixed cost of $200. a. what is the profit? b. what is the marginal cost? c. what is its average

  12. advanced math

    The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is $6.20, it cost $6.20 to increase productionn from 49 to 50 units of output. Suppose

  13. Calculus

    The cost to produce x items is given by the function C(x) = 1200 + 8x + 0.01x^2. a) Write a function that represents the average cost of producing x items. b) Use the derivative of the function from a) to find the number of items that should be produced to

  14. 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

  15. Math

    The daily total cost (in dollars) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function. (a) Find the average cost function C. C = ? (b) Find the level of production that results in the smallest average

  16. Calculus

    The marginal cost of a product is modeled by dC/dx =12/Cube root (12x+5) where x is the number of units. When x = 13, C = 160. (a) Find the cost function. (Round your constant term to two decimal places.) C= Ans- 3/2(12x+5)^2/3 +115.61 ???? (b) Find the

  17. 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

  18. analazye profit functions

    For a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is R(x)=−0.5(x−80)2+3,200. The maximum capacity of the company is 100 items. The profit function P(x) is the revenue function

  19. Calculus

    The total cost (in dollars) of producing x golf clubs per day is given by the formula C(x)=500+100x−0.1x2. (A) Find the marginal cost at a production level of x golf clubs. C′(x) = (B) Find the marginal cost of producing 35 golf clubs. Marginal cost

  20. math

    The daily total cost (in dollars) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function. c(x)=0.000002x^3+3x+453 (a) Find the average cost function C. C = ? (b) Find the level of production that results

  21. 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

  22. 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

  23. Calc

    Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x)=2200+4x+0.01x2+0.0002x3. (a) Find the marginal cost function. (b) Find the marginal cost at x=100. (c) Find the cost at x=100.

  24. math calculus (please help me)

    The marginal cost of a product is modeled by dC/dx= 16/cube root 16x + 3 where x is the number of units. When x = 17, C = 120. (a) Find the cost function. (Round your constant term to two decimal places.) c= (b) Find the cost of producing 90 units. (Round

  25. Algebra

    The Yellow Pencil Company sells the best pencils ever made. If the cost of producing x hundred pencils is given by C(x)=0.4x^2-29x+44 and if the revenue generated from the sale of x hundred pencils is R(x)=-0.6x^2+19x. Money is in thousands of dollars. (a)

  26. math.

    Kool Klothes has determined that the revenue function for selling x thousand pairs of shorts is R(x) = -5x^2 + 21x. The cost functiom C(x) = 2x + 10 is the cost of producing the shorts. A) How many pairs of shorts must the company sell in order to break

  27. 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

  28. Math - average rate problems(check + help)

    The total cost, c, in dollars of operating a factory that produces kitchen utensils is C(x)=0.5x^2+40x+8000, where x is the number of items produced in thousands. a)Determine the marginal cost of producing 5000itmes and compare this with the actual cost of

  29. Math

    2. The cost of producing x units of a certain commodity is given by Px  1000  0 x MCsds, where P is in dollars and Mx is marginal cost in dollars per unit. A. Suppose the marginal cost at a production level of 500 units is $10 per unit, and the cost

  30. algebraic modeling

    A toy manufacturer determines that the daily cost,C, for producing x units of a dump truck can b approximated by the function c(x)=0.005x^2-x+109 I got that the manufacturer must produce 100 units per day... What is the minimum daily cost?

  31. 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

  32. Calculus

    I have three questions I need help solving 1) A ball's position, in meters, as it travels every second is represented by the position function s(t) = 4.9t2 + 550. What is the velocity of the ball after 3 seconds? 2) The cost in dollars of producing x units

  33. Business Calculus

    A manufacturer has found that marginal cost is dc/dx=3x^2-60x+400 dollars per unit when x units have been produced. The total cost of producing the first 2 units is $900. What is the total cost of producing the first 5 units? I would integrate, you are

  34. math

    The weekly demand for the Pulsar 25 color LED television is represented by p, where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing the Pulsar 25 is given by

  35. math

    Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to find

  36. principles of finance some please help me!

    The fixed cost for a firm drop by 25%. Prior to this breakthrough fixed cost were $100,000 and unit contribution maegin was and remains at 5.00. The new amount of break-even units will be: Thank You Very Much! ps: I got two answer Some information appears

  37. 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

  38. Calculus

    The marginal cost for producing x units of a certain product is given by the formula MC = 0.001x^2-0.5x+66.5. A. What is the increase in the cost of the production if the production level is raised from 200 to 400 units? B. What is the average cost per

  39. Brief calculus

    The marginal cost of producing the xth box of CDs is given by 9 − x/(x^2 + 1)^2. The total cost to produce 2 boxes is $1,200. Find the total cost function C(x). I'm getting 9x-(1/(x^2 - 1))+1181.9 but i guess its wrong

  40. math

    The daily total cost (in dollars) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function. c(x)=0.000002x^3+3x+453 (a) Find the average cost function C. C = ? (b) Find the level of production that results

  41. math

    * I posted this before, but I left out the equation, sorry. A company estimates that the marginal cost (in dollars per item) of producing x items is 2.08x-0.002x. If the cost of producing one item is $531 find the cost of producing 100 items. Please round

  42. 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)

  43. Math

    If the total cost function for producing x lamps is C(x) = 90 + 36x + 0.1x^2 dollars, producing how many units will result in a minimum average cost per unit? PLEASE EXPLAIN YOUR WORK Thank you

  44. economics-oligopoly

    Suppose there are only two producers, A and B, in a market producing the same good with the same total cost function TC=0.05 Q^2 +100. The market demand is given by Q=1000-5P. a) Find the equilibrium price and total output in the Bertrand model. b) Find

  45. Calculus

    The price-demand and cost functions for the production of microwaves are given as p=235−x40 and C(x)=14000+70x, where x is the number of microwaves that can be sold at a price of p dollars per unit and C(x) is the total cost (in dollars) of producing x

  46. MATH 209

    Ace manufacturing has determined that the cost of labor for producing x transmissions is 0.3x2+400x+550 dollars, while the cost of materials is 0.1x2+50x+800 dollars. Find the total cost of producing x=500 transmissions.

  47. 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 cost

  48. math calculus

    The marginal cost of a product is modeled by dC/dx= 16/cube root 16x + 3 where x is the number of units. When x = 17, C = 120. (a) Find the cost function. (Round your constant term to two decimal places.) c= (b) Find the cost of producing 90 units. (Round

  49. Economics

    2) Earl’s production function is f(x1, x2) = x1^(1/2) * x2^(1/3), where x1 is the number of pounds of lemons he uses and x2 is the number of hours he spends squeezing them. His cost function is c(w1, w2, y) = 2w1^(1/2) * w2^(1/2) * y^(3/2), where w1 is

  50. Economics

    Earl’s production function is f(x1, x2) = x1^(1/2) * x2^(1/3), where x1 is the number of pounds of lemons he uses and x2 is the number of hours he spends squeezing them. His cost function is c(w1, w2, y) = 2w1^(1/2) * w2^(1/2) * y^(3/2), where w1 is the

  51. business and finance

    The cost of producing a number of items x is given by C=mx+b, inwhich b is the fixed cost and m is the variable cost (the cost of producing one more item). (a) If the fixed cost is $40 and the variable cost is $10, write the cost equation. Could someone

  52. 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

  53. Math

    The cost of producing x units of a certain commodity is given by P(x)=1000+ int(MC(s))ds from 0 to x, where P is in dollars and M(x) is marginal cost in dollars per unit. A. Suppose the marginal cost at a production level of 500 units is $10 per unit, and

  54. Calculus (Please check my work.)

    This is my last chance to make at least a C in my AP Calculus course, so please tell me if I got these right or wrong so that I can fix them before it's due. Also, there was one I wasn't sure how to do, so if you can help me with that, it would be much

  55. Business

    In planning a new item, a manufactuer assumes that the number of items produced x and the cost of dollars C of producing these items are related by a linear equation, Projections are that 100 items will cost $22,000 to produce. Find the eqaution that

  56. 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

  57. math,algebra,help

    Problem states: Business and finance. The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a)If the fixed cost is $40 and the variable cost is $10,

  58. math

    I did the first part how would i graph it. Problem: Business and finance. The cost of producing a number of items x is given by C = mx + b , in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a)If the fixed cost

  59. 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

  60. 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 -

  61. 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 -

  62. REALLY NEED HELP

    Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to find

  63. Mathematics

    The formula Total cost = Cost + Shipping cost - Holding cost is used to find the total cost of a business asset. The formula can be written in symbols as T=C+S+H. Solve the formula for C, the the cost of the asset. C=

  64. calculus

    1. (30 points) Consider a manufacturer whose total cost of producing x items is given by c(x)=10000+5x+1/9x^2. a. What is the average cost function A(x)= c(x)/x? b. How many items should the manufacturer produce in order to minimize average cost? c. What

  65. Calculus

    The weekly demand for the Pulsar 25-in. color console television is given by the demand equation p = -0.03 x + 571\ \ \ \ \(0

  66. math

    The daily cost C, in RM, of producing a product is C(x)=1000+72x-0.06x^2 (0 more & equal x less & equal 60) where x represents the number of product produced. a) Find the daily cost of producing 50 units b) Find the marginal cost function. c) Find C’(50)

  67. 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

  68. math

    The marginal cost function is given by dc/dq=0.08q^2-1.8q+2.5 where c is the total cost in producing q units of product. The fixed cost is 5000. Find the total cost for producing 1000 units

  69. 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

  70. Math

    A cost function c(x) for producing x number of units: c(x) =20x+150 a) what would be the cost of producing 10 units b) how many units would have to be produced to cost 750 c) sketch the cost function c(x) from x=0 to x=50 d) how much will the cost function

  71. maths

    The formula P=9d + 320 is the cost of buying an article "p" while "d" is the number of articles bought. if P=N797.00 find the number of articles.

  72. Math

    A company estimates that the marginal cost (in dollars per item) of producing x items is . If the cost of producing one item is $531 find the cost of producing 100 items. Please round the answer to the nearest hundredth. Am I reading this wrong or would

  73. Math 115

    A department store is offering a coupon for 28 ⁢ % off for any purchases over dollar-sign Baseline 100. Construct a piecewise function for the actual cost, C, of the purchase as a function of the original purchase price, P. When 0

  74. 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

  75. Algebra

    The cost of producing oil is partly constant and partly varies as the number of bottles produced. The total cost of producing 8 bottles is R500, and of producing 20 bottles is R1160. Find the total cost of producing 40 bottles.

  76. 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?

  77. Calculus

    The marginal cost of a product is modeled by: 14/cube root of 14x+5. Where x is the number of units. X=15, C=120. a) Find the cost function C= b) Find the Cost in dollars of producing 80 units I am lost as how to get the fraction at the beginnning of the

  78. Finite Math

    The total monthly cost (in dollars) of producing x thousand beanie babies is: C(x)= 250x + 5,000. a. What are the fixed costs? b. What is the marginal cost per beanie baby? c. What is the total cost of producing 100,000 beanie babies? d. What is the

  79. 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)= _________________

  80. Algebra

    The Yellow Pencil Company sells the best pencils ever made. If the cost of producing x hundred pencils is given by C x x x ( ) 0.4 29 44 = − + 2 and if the revenue generated from the sale of x hundred pencils is R x x x ( ) 0.6 19 = − + 2 . Money is in

  81. math

    PLEASE HELP!!! This is a last minute homework help!!! A cost function c(x) for producing x number of units: c(x) =20x+150 a) sketch the cost function c(x) from x=0 to x=50

  82. Economics

    Initially suppose that both countries have the same production function, namely q = K.3L.7. For this production function, MPL = .7K.3L-.3 and MPK = .3K.-7L.7. Derive (with all steps shown) the long-run total cost function for each country. (Given that both

  83. Economy

    What is the cost of producing 100 units of output for a firm with a production function given by F(k,l)=10(min(2k,l))^0.5? Assume that r=20 $/unit and w=10 $/unit

  84. Math

    A cost function c(x) for producing x number of units: c(x) =20x+150 c) sketch the cost function c(x) from x=0 to x=50 d) how much will the cost function change if the number of units produced is increased by 6 units

  85. Intermediate Algebra

    Environmental scientists often use cost-benefit models to estimate the cost of removing a pollutant from the environment as a function of the percentage of pollutant removed. Suppose a cost benefit function for the cost C (in millions of dollars) of

  86. Intermediate Algebra

    Environmental scientists often use cost-benefit models to estimate the cost of removing a pollutant from the environment as a function of the percentage of pollutant removed. Suppose a cost benefit function for the cost C (in millions of dollars) of

  87. calculus

    A lamp has a cost function of C(x) = 2500 + 10x, where x is the number of units produced per day and C(x) is in dollars. The revenue function for these lamps is R (X)= 18x−.001x^2. At least 100 lamps and no more than 2000 lamps may be produced per day.

  88. micro ecnomices

    Suppose Honda's total cost of producing 4 cars in $225000 and its total cost of producing 5 cars in $250000. What is the average total cost of producing 5 cars? What is the marginal cost of 5th car?

  89. Phoenix

    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 $10,000 to produce and that 300 items will

  90. Pre-Calculus

    3. Joyce is buying a pair of jeans for $39.99. The jeans are on sale at a 20% discount and the sales tax is 7%. Write a function T(x) to represent the total cost of an item with 7% sales tax. Find the composite function (T of S)(x).Use the composition to

  91. Math 115

    A department store is offering a coupon for 21% off for any purchases over $100. How much would you spend for a $100 purchase? You would spend $100. You would spend $79 on a purchase of $100.01 You would spend $79.8 on a purchase of $101.00 You would spend

  92. College Algebra

    The monthly cost in dollars from producing x units of an item is given by the cost function C(x)=2x^2-160x+18400. How many units will result in the minimum cost? I do not know how to start this problem. Thank you for your help!

  93. Mathematics

    The cost of producing goods is partly constant and partly varies as the number of goods produced.If 100 and 50 goods cost 65.00 and 285.00 respectively,find the cost of 200 goods

  94. Math

    The formula Total cost = Cost + Shipping cost + Holding cost is used to find the total cost of a business asset. The formula can be written in symbols as T=C+S+H. Solve the formula for C, the cost of the asset.

  95. Algebra

    A department store is offering a coupon for 26% off for any purchases over $100. How much would you spend for a $100 purchase? You would spend $____. Construct a formula a piecewise functiom for the actual cost, C, of the purchase as a function of the

  96. math,correction

    The problem states: 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 $10,000 to produce and

  97. Algebra

    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 $10,000 to produce and that 300 items will

  98. 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

  99. Calculus

    Consider a manufacturer whose total cost of producing x items is given by c(x)=10000+5x+1/9x^2. a. What is the average cost function A(x)= c(x)/x? b. How many items should the manufacturer produce in order to minimize average cost? c. What is the smallest

  100. pre calculus

    the downhill ski club is organizing a ski trip. group tickets for the ski trip are priced at 20 for the first 100 skiers and a discount of 5.00 for each of the skiers over 100. a) write a formula to find the average cost of x skiers. b)write a formula to

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