Capital Expansion McJester's Burger Hut plans to expand by opening several new restaurants. The chain operates tv 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. • Afull-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 z be the number of drive-through restaurants and let y be the number of full-service restauran 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.

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter9: Integer Programming
Section9.2: Formulating Integer Programming Problems
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Capital Expansion
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.
• 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 a 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.
Transcribed Image Text:Capital Expansion 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. • 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 a 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 problem constraint arising from labor contracts has the form
ax + by O c,
for some values a, b, c, and some sign 0.
Find a, b, O, and c.
[ Select]
a =
b = [ Select ]
[:
[ Select ]
[ Select ]
c =
>
>
>
>
||
Transcribed Image Text:The problem constraint arising from labor contracts has the form ax + by O c, for some values a, b, c, and some sign 0. Find a, b, O, and c. [ Select] a = b = [ Select ] [: [ Select ] [ Select ] c = > > > > ||
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