3. A company determined that the price-demand and cost functions for selling x units of a certain product are given by 2 p(x) = -x + 550 and C(x) = x + 100x + 2500, respectively, where p and C are in pesos. (a) Find the the marginal profit when 200 units of the product are sold. (b) At what production level is the average cost per product at a minimum?

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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3. A company determined that the price-demand and cost functions for selling x
units of a certain product are given by
p(x) = - 1x + 550 and C(x) = x² + 100x + 2500,
respectively, where p and C are in pesos.
(a) Find the the marginal profit when 200 units of the product are sold.
(b) At what production level is the average cost per product at a minimum?
3
Transcribed Image Text:3. A company determined that the price-demand and cost functions for selling x units of a certain product are given by p(x) = - 1x + 550 and C(x) = x² + 100x + 2500, respectively, where p and C are in pesos. (a) Find the the marginal profit when 200 units of the product are sold. (b) At what production level is the average cost per product at a minimum? 3
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