- The cost function for a product is C(q) = q³ −— 66q² + 1452q + 1110 for 0 ≤ q ≤ 50 and a price per unit of $542. Round your answers to the nearest whole number. a) What production level maximizes profit? q= 86.4 b) What is the total cost at this production level? cost $273902 c) What is the total revenue at this production level? revenue = $ 46612 d) What is the total profit at this production level? profit = $ 227290

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The cost function for a product is C(q) = q³ − 66q² + 1452q + 1110 for
0 ≤ q ≤ 50 and a price per unit of $542.
Round your answers to the nearest whole number.
a) What production level maximizes profit?
q= 86.4
b) What is the total cost at this production level?
cost $273902
=
c) What is the total revenue at this production level?
revenue = $46612
d) What is the total profit at this production level?
profit = $ 227290
Transcribed Image Text:The cost function for a product is C(q) = q³ − 66q² + 1452q + 1110 for 0 ≤ q ≤ 50 and a price per unit of $542. Round your answers to the nearest whole number. a) What production level maximizes profit? q= 86.4 b) What is the total cost at this production level? cost $273902 = c) What is the total revenue at this production level? revenue = $46612 d) What is the total profit at this production level? profit = $ 227290
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