4. Suppose that when x units are produced, the total cost is C(x) = 3x² + 12x+14 and the selling price per unit is p(x) = 44 - x. Find the level of pro- duction that maximizes total profit. Hint: Total profit is P(x) = R(x) — C(x). - (a) 5 units (b) 8 units (c) 4 units (d) 6 units (e) maximum does not exist 4A 4C 4B 4D 4E

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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4. Suppose that when x units are produced, the total
cost is C(x) = 3x² + 12x+14 and the selling price
per unit is p(x) = 44 - x. Find the level of pro-
duction that maximizes total profit. Hint: Total
profit is P(x) = R(x) − C(x).
-
(a) 5 units
(b) 8 units
(c) 4 units
(d) 6 units
(e) maximum does not exist
4A
4C
4B
4D
4E
Transcribed Image Text:4. Suppose that when x units are produced, the total cost is C(x) = 3x² + 12x+14 and the selling price per unit is p(x) = 44 - x. Find the level of pro- duction that maximizes total profit. Hint: Total profit is P(x) = R(x) − C(x). - (a) 5 units (b) 8 units (c) 4 units (d) 6 units (e) maximum does not exist 4A 4C 4B 4D 4E
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