A company finds that the total cost of manufacturing x units of a certain product is given by C(x) = x + 100x + 125000 pesos. a. What production level will result in the least average cost per unit manufactured? b. The company's research shows that if the product is sold at p pesos, they will be able to sell 4200 – 2p units. Find the marginal profit at a production level of 900 units.

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. A company finds that the total cost of manufacturing x units of a certain product is given by
C(x) = x2 + 100x + 125000 pesos.
a. What production level will result in the least average cost per unit manufactured?
b. The company's research shows that if the product is sold at p pesos, they will be able to sell
4200 – 2p units. Find the marginal profit at a production level of 900 units.
Transcribed Image Text:4. A company finds that the total cost of manufacturing x units of a certain product is given by C(x) = x2 + 100x + 125000 pesos. a. What production level will result in the least average cost per unit manufactured? b. The company's research shows that if the product is sold at p pesos, they will be able to sell 4200 – 2p units. Find the marginal profit at a production level of 900 units.
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