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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter8: Introduction To Functions

Section8.7: Functions Defined By Equations

Problem 9OE

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Question

McJester's Burger Hut plans to expand by opening several new restaurants. The chain operates two types of restaurants: drive-through and full-service.

A drive-through restaurant costs $111,000 to construct, requires 7 employees, and has an expected annual revenue of $205,000.
A full-service restaurant costs $184,000 to construct, requires 17 employees, and has an expected annual revenue of $565,000.
McJester's has $3,250,000 in capital available for expansion.
Labor contracts require that they higher no more than 325 employees.
Licensing restrictions require that they open no more than 25 new restaurants.

Let x be the number of drive-through restaurants and let y be the number of full-service restaurants in this expansion. Let R be the expected annual revenue in dollars resulting from the expansion.

McJester's wants to maximize the expected revenue. Set up the linear programming problem.

Answer the following questions about this linear programming problem.