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.

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
Chapter1: Introduction To Algebra
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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.

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]
The problem constraint arising from McJester's limited capital has the form
ax + byc,
for some values a, b, c, and some sign .
Find a, b,, and c.
a=
[Select]
b = [Select]
C=
[Select]
[Select]
<
<
<
Transcribed Image Text:The problem constraint arising from McJester's limited capital has the form ax + byc, for some values a, b, c, and some sign . Find a, b,, and c. a= [Select] b = [Select] C= [Select] [Select] < < <
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Follow-up Question
The problem constraint arising from licensing restrictions has the form
ax + byc,
for some values a, b, c, and some sign .
Find a, b, □, and c.
a =
[Select]
b = [Select]
C =
[Select]
[Select]
Transcribed Image Text:The problem constraint arising from licensing restrictions has the form ax + byc, for some values a, b, c, and some sign . Find a, b, □, and c. a = [Select] b = [Select] C = [Select] [Select]
The problem constraint arising from labor contracts has the form
ax + byc,
for some values a, b, c, and some sign .
Find a, b, □, and c.
a =
[Select]
b = [Select]
C=
[Select]
[Select]
Transcribed Image Text:The problem constraint arising from labor contracts has the form ax + byc, for some values a, b, c, and some sign . Find a, b, □, and c. a = [Select] b = [Select] C= [Select] [Select]
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