b. A company estimates that the cost, in dollars, of producing of items in C(q) = 2,600 + 2g + 0.00 1q² . i. Find the cost, average cost, and marginal cost of producing 1,000 items. At what production level will the average cost be lowest, and what is this ii. minimum average cost? iii. Revenue function R(q)= 48q – 0.012g for producing q chairs. Find the profit function and how many chairs should be produced to earn the maximum profit.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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b. A company estimates that the cost, in dollars, of producing of items in
C(q) = 2,600+ 2q +0.001q² .
Find the cost, average cost, and marginal cost of producing 1,000 items.
At what production level will the average cost be lowest, and what is this
i.
ii.
minimum average cost?
iii.
Revenue function R(g) = 489 – 0.012q? for producing q chairs. Find the profit
function and how many chairs should be produced to earn the maximum profit.
Transcribed Image Text:b. A company estimates that the cost, in dollars, of producing of items in C(q) = 2,600+ 2q +0.001q² . Find the cost, average cost, and marginal cost of producing 1,000 items. At what production level will the average cost be lowest, and what is this i. ii. minimum average cost? iii. Revenue function R(g) = 489 – 0.012q? for producing q chairs. Find the profit function and how many chairs should be produced to earn the maximum profit.
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