Calculus Grade 12 University

posted by .

The cost, in dollars, for the production of x felt-tipped pens is C(x) = 48 000 + 0.28x + 0.00001x^2, and the revenue is R(x) = 0.68x - 0.00001x^2. What production level maximizes profit?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    We're doing optimization problems and this is one that I am having trouble with: Suppose a business can sell x gadgets for p=250-0.01x dollars apiece, and it costs the business c(x)= 100+25x dollars to produce x gadgets. Determine …
  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. 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?
  6. calculus

    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?
  7. calc

    When production is 3000, marginal revenue is 7 dollars per unit and marginal cost is 5 dollars per unit. Do you expect maximum profit to occur at a production level above or below 3000?
  8. Calculus

    When production is 1700, marginal revenue is 8 dollars per unit and marginal cost is 6.75 dollars per unit. Do you expect maximum profit to occur at a production level above or below 1700?
  9. 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 …
  10. Calculus

    The cost of producing commodity is C(X)=3X^2+4X+8 dollars.If the price is P(X)=(50-X) dollars per unit,determine the level of production that maximizes the profit. ---------- What is the level of production.

More Similar Questions