college algebra

posted by .

At Allied electronics, production has begun on x-15 computer chip. The total revenue function is given by. R(x)=47x-0.3x^2 and the total cost function is given C(x)=8x+16, where x represents the number of boxes of computer chip produced.

A. Find the profit function in P(x)=R(x)-C(x)


Find the profit for 100 items produced

How many items do you have to produce to maximize the profit.

Thanks for your help.

  • college algebra -

    A. They've told you what P(x) is:
    P(x) = R(x)-C(x)
    = 47x-.3x^2 - (8x+16)
    = -.3x^2 + 39x - 16

    Now , that's just a parabola, and you know that the parabola ax^2+bx+c has its vertex at x = -b/2a, so

    max profit P(x) occurs at
    x = -39/-.6 = 65

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    We did not find results for: suppose a company manufactures MP3 players and sell them to retailers for $98 each. it has a fixed cost of $262,500 related to the production of the MP3 players and the cost per unit is $23 what is the …
  2. Calculus

    the cost function C(q) = q3−57q2+1083q+1010 for 0 ≤ q ≤ 50 and a price per unit of $534. Round your answers to the nearest whole number. a) What production level maximizes profit?
  3. Calculus

    using the demand function p = 41 − 0.04 q instead of the one given in your book. Round your numeric answers to one decimal place. a) Write the revenue as a function of production, q. R(q) = b) What production level maximizes …
  4. Calculus

    using the demand function p = 41 − 0.04 q instead of the one given in your book. Round your numeric answers to one decimal place. a) Write the revenue as a function of production, q. R(q) = b) What production level maximizes …
  5. math

    Suppose the total cost function for manufacturing a certain product C(x) is given by the function below, where C (x) is measured in dollars and x represents the number of units produced. Find the level of production that will minimize …
  6. math

    Suppose the total cost function for manufacturing a certain product C(x) is given by the function below, where C (x) is measured in dollars and x represents the number of units produced. Find the level of production that will minimize …
  7. college algebra

    At Allied electronics, production has begun on x-15 computer chip. The total revenue function is given by. R(x)=47x-0.3x^2 and the total cost function is given C(x)=8x+16, where x represents the number of boxes of computer chip produced. …
  8. Calculus Help

    using the cost function C(q) = q3−60q2+1200q+760 for 0 ≤ q ≤ 50 and a price per unit of $551. Round your answers to the nearest whole number. a) What production level maximizes profit?
  9. maths

    the total revenue and the total profit functions (in Ringgit) of a product are given as follows: total revenue :R(x)= x^3-95-800x total profit: P(x)=1/3x^3+800x-120 where x is the number of units produced and sold. find the level of …
  10. 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 …

More Similar Questions