A division of Ditton Industries manufactures a deluxe toaster oven. The daily marginal profit function associated with the production and sales of the deluxe toaster ovens is known to be P'(x) = -0.0003x2 + 0.06x + 24 where x denotes the number of units manufactured and sold daily and P'(x) is measured in dollars per unit. Management has determined that the daily fixed cost incurred in the production is $800. (a) Find the total profit realizable from the manufacture and sale of 200 units of the toaster ovens per day. Hint: 200 P(200) – P(0) = P'(x) dx, P(0) = -800. (b) What is the additional daily profit realizable if the production and sale of the toaster ovens are increased from 200 to 220 units/day?

A division of Ditton Industries manufactures a deluxe toaster oven. The daily marginal profit function associated with the production and sales of the deluxe toaster ovens is known to be P'(x) = -0.0003x2 + 0.06x + 24 where x denotes the number of units manufactured and sold daily and P'(x) is measured in dollars per unit. Management has determined that the daily fixed cost incurred in the production is $800. (a) Find the total profit realizable from the manufacture and sale of 200 units of the toaster ovens per day. Hint: 200 P(200) – P(0) = P'(x) dx, P(0) = -800. (b) What is the additional daily profit realizable if the production and sale of the toaster ovens are increased from 200 to 220 units/day?

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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