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 the average cost. (Round your answer to the nearest whole number.)

C(x)=0.2(0.01x^2+133)

? units

  1. 👍
  2. 👎
  3. 👁
  1. average cost = totalcost/number of units

    a(x) = C(x)/x
    = 0.2(0.01x + 133/x)

    minimum avg cost is where a'(x) = 0
    a'(x) = .02(.01 - 133/x^2)
    x = 10√133 = 115.3, so 115

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Economics

    The short-run cost function of a firm is as follows: TC = 200 + 5Q + 2Q2 Where TC = Total Cost Q = Physical units of the product of the firm What would be the level of optimum output?

  2. algebra

    Tickets to a concert are available online for $25 plus a one time handling fee of$1.75 the total cost is a function of the number of tickets bought what function rule models the cost of the concert tickets evaluate the function

  3. Math

    1.Suppose that the function f(x) = 5x + 3 represents the number of cars that drive by in x minutes. How many cars will drive by in 10 minutes? a. 80 b. 53 c. 50 d. 35 2. Buses on your route runs every 8 minutes from 7:00am to

  4. Pre-Algebra

    1. Given the function rule f(x) = x² – 3x + 2, what is the output of f(–2)? 2. Suppose you earn $12 each time you mow the lawn. Write the function describes the relationship between your total earnings E and the number of

  1. 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,

  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

  3. 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

  4. MATH HELP

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

  1. 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

  2. Microeconomics

    A perfectly competitive industry has a large number of potential entrants. Each firm has an identical cost structure such that long run average cost is minimized at an output of 10 units (qi=10 ). The minimum average cost is R5

  3. math

    A piano manufacturer has a daily fixed cost of $1200 and a marginal cost of $1500 per piano. Find the cost C(x) of manufacturing x pianos in onde day. Use your function to answer the following questions: a)On a given day, what is

  4. math

    the cost per hour of running an assembly line in a manufacturing plant is a function of the number of items produced per hour. The cost function is C(x) = 0.28x^2 - 0.7x + 1 where C(x) is the cost per hour in thousands of dollars

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