Betty's Bathtub company produces two types of tubs: the Jazzy Jets model and the Double Dip model. The company noticed that demand and prices are related. In particular, Number of Jazzy Jets tubs demanded = 1900 - price of Jazzy Jets + price of Double Dip Number of Double Dip tubs demanded = 1450+ price of Jazzy Jets - 2(price of Double Dip) The costs of manufacturing the Jazzy Jets and Double Dip models are $500 and $300 per unit respectively. Determine the price of each model that gives the maximum profit. Please verify that the profit is locally maximized at the prices you find. In order to maximize her profits, Betty should charge the prices of dollars per unit for the Jazzy Jets model and dollars per unit for the Double Dip model.

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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Betty's Bathtub company produces two types of tubs: the Jazzy Jets model and the Double
Dip model. The company noticed that demand and prices are related. In particular,
Number of Jazzy Jets tubs demanded = 1900 – price of Jazzy Jets + price of Double Dip
Number of Double Dip tubs demanded = 1450 + price of Jazzy Jets – 2(price of Double Dip)
The costs of manufacturing the Jazzy Jets and Double Dip models are $500 and $300 per unit
respectively. Determine the price of each model that gives the maximum profit.
Please verify that the profit is locally marimized at the prices you find.
In order to maximize her profits, Betty should charge the prices of
|dollars per unit for the Jazzy Jets model and
dollars per unit for the Double Dip model.
Transcribed Image Text:Betty's Bathtub company produces two types of tubs: the Jazzy Jets model and the Double Dip model. The company noticed that demand and prices are related. In particular, Number of Jazzy Jets tubs demanded = 1900 – price of Jazzy Jets + price of Double Dip Number of Double Dip tubs demanded = 1450 + price of Jazzy Jets – 2(price of Double Dip) The costs of manufacturing the Jazzy Jets and Double Dip models are $500 and $300 per unit respectively. Determine the price of each model that gives the maximum profit. Please verify that the profit is locally marimized at the prices you find. In order to maximize her profits, Betty should charge the prices of |dollars per unit for the Jazzy Jets model and dollars per unit for the Double Dip model.
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