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. • 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 z 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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
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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.
• 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 æ 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. • 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 æ 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 is
R = ax + by,
for some values a and b.
Find a and b. Round to the nearest integer.
[ Select ]
a
b =
[ Select ]
Transcribed Image Text:The objective function is R = ax + by, for some values a and b. Find a and b. Round to the nearest integer. [ Select ] a b = [ Select ]
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