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A group of management students are creating a business plan for their proposed shoe brand Sole Searching. The total production cost of r pairs of shoes is expected to be given by 1 1 C(x) = x² +500 + 80000 pesos. The group intends to sell at p(x) = 1000 22 pesos per pair. a. What will be the marginal profit when 100 pairs are sold? b. At what production level will the average cost per pair be at a minimum?

A group of management students are creating a business plan for their proposed shoe brand Sole Searching. The total production cost of r pairs of shoes is expected to be given by 1 1 C(x) = x² +500 + 80000 pesos. The group intends to sell at p(x) = 1000 22 pesos per pair. a. What will be the marginal profit when 100 pairs are sold? b. At what production level will the average cost per pair be at a minimum?

Calculus: Early Transcendentals
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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A group of management students are creating a business plan for their proposed shoe brand Sole Searching. The total production cost of a pairs of shoes is expected to be given by 1 1 C(x) = ² +500 + 80000 pesos. The group intends to sell at p(x) = 1000- - pesos per 2² pair. a. What will be the marginal profit when 100 pairs are sold? b. At what production level will the average cost per pair be at a minimum?
Transcribed Image Text:A group of management students are creating a business plan for their proposed shoe brand Sole Searching. The total production cost of a pairs of shoes is expected to be given by 1 1 C(x) = ² +500 + 80000 pesos. The group intends to sell at p(x) = 1000- - pesos per 2² pair. a. What will be the marginal profit when 100 pairs are sold? b. At what production level will the average cost per pair be at a minimum?
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