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.
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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section5.6: Graphing Ineualities In Two Variables
Problem 29PPS
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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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