The manager of a snack section of a grocery superstore has just learned that the department store has 70 pounds of mayonnaise approaching expiration date and must be used. In order to use up the mayonnaise, the manager has decided to prepare two items:  a ham spread and a chicken spread. Each bottle of the ham spread will require 1.4 pounds of the mayonnaise while each bottle of the chicken spread will require 1  pound . The manager has received an order of no less than 10 bottles of ham spread and no less than 8 bottles of chicken spread. In addition, the manager has decided to have at least 15 bottles of each spread available for sale. Both spread will cost 120 per bottle to make, but ham spread sells for 200 per bottle and chicken spread sells for 280 per bottle. 1. Determine the solution that will maximize the profit using graphical method. 2. Determine the solution that will minimize the cost using graphical method.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 107P
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The manager of a snack section of a grocery superstore has just learned that the department store has 70 pounds of mayonnaise approaching expiration date and must be used. In order to use up the mayonnaise, the manager has decided to prepare two items:  a ham spread and a chicken spread. Each bottle of the ham spread will require 1.4 pounds of the mayonnaise while each bottle of the chicken spread will require 1  pound . The manager has received an order of no less than 10 bottles of ham spread and no less than 8 bottles of chicken spread. In addition, the manager has decided to have at least 15 bottles of each spread available for sale. Both spread will cost 120 per bottle to make, but ham spread sells for 200 per bottle and chicken spread sells for 280 per bottle.

1. Determine the solution that will maximize the profit using graphical method.

2. Determine the solution that will minimize the cost using graphical method.

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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,