3. The cost (in pesos) of producing x toys is given by 1.5x? + 200x + 4000, whi price (in pesos) of each toy if there is a demand for x units is given by p(x) = 0.5x. (a) Find the marginal cost of producing 100 toys. (b) What price p will yield the maximum profit?

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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3. The cost (in pesos) of producing x toys is given by 1.5x? + 200x + 4000, while the
price (in pesos) of each toy if there is a demand for x units is given by p(x) = 800 –
0.5x.
(a) Find the marginal cost of producing 100 toys.
(b) What price p will yield the maximum profit?
Transcribed Image Text:3. The cost (in pesos) of producing x toys is given by 1.5x? + 200x + 4000, while the price (in pesos) of each toy if there is a demand for x units is given by p(x) = 800 – 0.5x. (a) Find the marginal cost of producing 100 toys. (b) What price p will yield the maximum profit?
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