A firm knows that its marginal cost for a product is MC = 3x + 30, that its marginal revenue is MR = 62 - 5x, and that the cost of production of 60 units is $7,300. (a) Find the optimal level of production. x units (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level. There is a of $ loss

Managerial Economics: A Problem Solving Approach
5th Edition
ISBN:9781337106665
Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Chapter7: Economies Of Scale And Scope
Section: Chapter Questions
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Cost, revenue, and profit are in dollars and x is the number of units.

A firm knows that its marginal cost for a product is

MC = 3x + 30,

that its marginal revenue is

MR = 62 − 5x,

and that the cost of production of 60 units is $7,300.

(a) Find the optimal level of production.
units

(b) Find the profit function.
P(x) =
 
 


(c) Find the profit or loss at the optimal level.
There is a  ---Select--- profit loss of $ .
Cost, revenue, and profit are in dollars and x is the number of units.
A firm knows that its marginal cost for a product is Mc = 3x + 30, that its
marginal revenue is MR = 62 – 5x, and that the cost of production of 60 units is
$7,300.
(a) Find the optimal level of production.
x units
3
(b) Find the profit function.
P(x) =
(c) Find the profit or loss at the optimal level.
There is a loss
of $
Transcribed Image Text:Cost, revenue, and profit are in dollars and x is the number of units. A firm knows that its marginal cost for a product is Mc = 3x + 30, that its marginal revenue is MR = 62 – 5x, and that the cost of production of 60 units is $7,300. (a) Find the optimal level of production. x units 3 (b) Find the profit function. P(x) = (c) Find the profit or loss at the optimal level. There is a loss of $
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