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 cost of producing 70 units. (Round your answer to two decimal places.)
$-__???____

  1. 👍
  2. 👎
  3. 👁
  1. dC/dx = 12 (12x+5)^-(1/3)

    C = (3/2)(12x+5)^(2/3) + constant agree

    160 = (3/2)(156+5)^(2/3) + constant
    160 = 44.4 + constant
    so
    C = (3/2)(12x+5)^(2/3) + 115.61 agree

    if x = 70 then
    C = 249.68

    1. 👍
    2. 👎
  2. So what was the problem? The first part was the hard part and you did it with no trouble.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. ALGEBRA

    1, Factor each expression x^2 - 10x - 24 A. (x + 4)(x - 6) B. (x + 6)(x - 4) C. (x + 2)(x - 12) D. (x + 12)(x - 2) 2, x^2 - 36 = 0 A. (1 + square root of 3, 1 - square root of 3) B. (-6,6) C. No solution D. None of these 3, Factor

  2. 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

  3. Calc

    Find the functions a) f o g, b) g o f, c) f o f, d) g o g, and their domains. f(x)= square root of x, g(x)= cube root of 1-x These are my answers, but I am not sure about them and I only figured out one domain... that is the part

  4. 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

  1. 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

  2. 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

  3. MATH HELP

    The cost to produce a product is modeled by the function f(x) = 5x^2 āˆ’ 70x + 258 where x is the number of products produced. Complete the square to determine the minimum cost of producing this product. 5(x āˆ’ 7)^2 + 13; The

  4. Economics/Algebra

    A monopolist has a constant marginal and average cost of $10 and faces a demand curve of QD = 100 - 10P. Marginal revenue is given by MR=100-.20P. a. Calculate the monopolist's profit maximizing quantity, price, and profit. b. Now

  1. Algebra

    Simplify: 5(cube root of 16) + 2(cube root of 54) 5 times the cube root of 16 plus 2 times the cube root of 54. I do not know how to type in the radical signs. Sorry.

  2. Calculus

    Express the function in the form f o g. G(x)= The cube root of (x/1+x) So, (f 0 g)(x)= f(g(x))= f(cube root of x/1+x)= I don't know how to finish the problem because it does not give you the information for F(x)???

  3. Economics

    explain how a firm's production function is related to its marginal product of labor,how a firm's marginal product of labor is related to the value of its marginal product, and how a firm's value of marginal product is related to

  4. Calculus

    The total cost (in dollars) of producing x golf clubs per day is given by the formula C(x)=500+100xāˆ’0.1x2. (A) Find the marginal cost at a production level of x golf clubs. Cā€²(x) = (B) Find the marginal cost of producing 35

You can view more similar questions or ask a new question.