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. The objective function isR = ax + by,for some values a and b.Find a and b. Round to the nearest integer.[Select]ab = [Select] The problem constraint arising from McJester's limited capital has the formax + byc,for some values a, b, c, and some sign .Find a, b,, and c.a=[Select]b = [Select]C=[Select][Select]<<<

1st we will find decision variable , then objective function , Finally we need in equations…

Answered: McJester's Burger Hut plans to expand…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.