Questions 1-5 are in reference to the following scenario: Each evening, a team of employees at a company assembles vegetable, roast beef, and chicken sandwiches to be placed in vending machines the following morning. Only 960 minutes of assembly time are available each evening. Each vegetable sandwich takes .4 minutes to assemble, each roast beef sandwich takes .3 minutes to assemble, and each chicken sandwich takes .5 minutes to assemble. The vending machines have room for at most 2000 sandwiches. To insure variety, the company wants to provide at least 200 of each type of sandwich. The revenue per vegetable sandwich is $3.00, per roast beef sandwich is $4.00, and per chicken sandwich is $3.50. The company wants to know how many of each type of sandwich to assemble each evening to maximize total revenue. (The company is assured of selling all the sandwiches it provides.) The minimum sandwich constraint may be stated as: O Xv s 200 and Xr s 200 and Xc s 200 O Xv + Xr + Xc = 200 O Xv + Xr + Xc 2 200 O Xv 2 200 and Xr 2 200 and Xc z 200

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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Questions 1-5 are in reference to the following scenario: Each evening, a team of
employees at a company assembles vegetable, roast beef, and chicken sandwiches to be
placed in vending machines the following morning. Only 960 minutes of assembly time
are available each evening. Each vegetable sandwich takes .4 minutes to assemble, each
roast beef sandwich takes .3 minutes to assemble, and each chicken sandwich takes .5
minutes to assemble. The vending machines have room for at most 2000 sandwiches. To
insure variety, the company wants to provide at least 200 of each type of sandwich. The
revenue per vegetable sandwich is $3.00, per roast beef sandwich is $4.00, and per
chicken sandwich is $3.50. The company wants to know how many of each type of
sandwich to assemble each evening to maximize total revenue. (The company is assured
of selling all the sandwiches it provides.)
The minimum sandwich constraint may be stated as:
O Xv s 200 and Xr s 200 and Xc s 200
O Xv + Xr + Xc = 200
O Xv + Xr + Xc 2 200
O Xv 2 200 and Xr 2 200 and Xc 2 200
Transcribed Image Text:Questions 1-5 are in reference to the following scenario: Each evening, a team of employees at a company assembles vegetable, roast beef, and chicken sandwiches to be placed in vending machines the following morning. Only 960 minutes of assembly time are available each evening. Each vegetable sandwich takes .4 minutes to assemble, each roast beef sandwich takes .3 minutes to assemble, and each chicken sandwich takes .5 minutes to assemble. The vending machines have room for at most 2000 sandwiches. To insure variety, the company wants to provide at least 200 of each type of sandwich. The revenue per vegetable sandwich is $3.00, per roast beef sandwich is $4.00, and per chicken sandwich is $3.50. The company wants to know how many of each type of sandwich to assemble each evening to maximize total revenue. (The company is assured of selling all the sandwiches it provides.) The minimum sandwich constraint may be stated as: O Xv s 200 and Xr s 200 and Xc s 200 O Xv + Xr + Xc = 200 O Xv + Xr + Xc 2 200 O Xv 2 200 and Xr 2 200 and Xc 2 200
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