A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.003x³ -0.1x² +500x-700. Currently the company builds and sells 11 laptops weekly. a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 10 laptops weekly? c) What is the marginal profit when x = 11? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 12 laptops weekly. a) The current weekly profit is $. (Round to the nearest cent as needed.) b) The decrease in profit is $ (Round to the nearest cent as needed.) c) The marginal profit when x= 11 is $. (Round to the nearest cent as needed.) d) The profit resulting from the production and sale of 12 laptops weekly is approximately (Round to the nearest cent as needed.)
A particular computing company finds that its weekly profit, in dollars, from the production and sale of x laptop computers is P(x) = -0.003x³ -0.1x² +500x-700. Currently the company builds and sells 11 laptops weekly. a) What is the current weekly profit? b) How much profit would be lost if production and sales dropped to 10 laptops weekly? c) What is the marginal profit when x = 11? d) Use the answer from part (a) and (c) to estimate the profit resulting from the production and sale of 12 laptops weekly. a) The current weekly profit is $. (Round to the nearest cent as needed.) b) The decrease in profit is $ (Round to the nearest cent as needed.) c) The marginal profit when x= 11 is $. (Round to the nearest cent as needed.) d) The profit resulting from the production and sale of 12 laptops weekly is approximately (Round to the nearest cent as needed.)
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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