Boise Lumber has decided to enter the lucrative prefabricated housing business. Initially, it plans to offer three models: standard, deluxe, and luxury. Each house is prefabricated and partially assembled in the factory, and the final assembly is completed on site. The dollar amount of building material required, the amount of labor required in the factory for prefabrication and partial assembly, the amount of on-site labor required, and the profit per unit are as follows. Standard ModelDeluxe ModelLuxury ModelMaterial$6,000$8,000$10,000Factory Labor (hr)240220200On-Site Labor (hr)180210300Profit$3,400$4,000$5,000For the first year's production, a sum of $8,200,000 is budgeted for the building material; the number of labor-hours available for work in the factory is not to exceed 221,000 hr; and the amount of labor for on-site work is to be less than or equal to 243,000 labor-hours. Determine how many houses of each type Boise should produce to maximize its profit from this new venture.Standard model deluxe model luxury model

Name: Boise Lumber has decided to enter the lucrative prefabricated housing
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Description: Boise Lumber has decided to enter the lucrative prefabricated housing business. Initially, it plans to offer three models: standard, deluxe, and luxury. Each house is prefabricated and partially assembled in the factory, and the final assembly is com

Step-1Let the following number of houses be produced to maximize the profit P,Number of standard…

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Boise Lumber has decided to enter the lucrative prefabricated housing business. Initially, it plans to offer three models: standard, deluxe, and luxury. Each house is prefabricated and partially assembled in the factory, and the final assembly is completed on site. The dollar amount of building material required, the amount of labor required in the factory for prefabrication and partial assembly, the amount of on-site labor required, and the profit per unit are as follows.

	Standard Model	Deluxe Model	Luxury Model
Material	$6,000	$8,000	$10,000
Factory Labor (hr)	240	220	200
On-Site Labor (hr)	180	210	300
Profit	$3,400	$4,000	$5,000

For the first year's production, a sum of $8,200,000 is budgeted for the building material; the number of labor-hours available for work in the factory is not to exceed 221,000 hr; and the amount of labor for on-site work is to be less than or equal to 243,000 labor-hours. Determine how many houses of each type Boise should produce to maximize its profit from this new venture.

Standard model

deluxe model

luxury model

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