group of management students are creating a business plan for oposed shoe brand SoleSearching. The total production cost of x] shoes is expected to be given by C(x) = x² + 500x + 8000 p e group intends to sell at p(x) = 1000 x pesos per pair. - 2 1. What will be the marginal profit when 100 pairs are sold? 2. At what production level will the average cost per pair be minimum?

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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A group of management students are creating a business plan for their
proposed shoe brand SoleSearching. The total production cost of x pairs
of shoes is expected to be given by C(x) = x² + 500x + 8000 pesos.
The group intends to sell at p(x) = 1000- x pesos per pair.
1
2
1
2
1. What will be the marginal profit when 100 pairs are sold?
2. 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 SoleSearching. The total production cost of x pairs of shoes is expected to be given by C(x) = x² + 500x + 8000 pesos. The group intends to sell at p(x) = 1000- x pesos per pair. 1 2 1 2 1. What will be the marginal profit when 100 pairs are sold? 2. At what production level will the average cost per pair be at a minimum?
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