Marginal Profit 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) = −0.0006x2 + 0.06x + 23 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: P(200) − P(0) = 200 P'(x) dx, 0 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?

Marginal Profit 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) = −0.0006x2 + 0.06x + 23 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: P(200) − P(0) = 200 P'(x) dx, 0 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?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.4: Combining And Decomposing Functions

Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...

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Marginal Profit

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) = −0.0006x² + 0.06x + 23

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:

P(200) − P(0) =

200	P'(x) dx,

0

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?

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