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A food factory produces two kinds of pizza: standard and healthy. The healthy one uses 0.05kg white flour and 0.05kg wholemeal flour, while the standard one uses 0.09kg white flour and 0.01kg wholemeal flour. The company makes £0.9 profit with the standard pizza and £1.6 profit with the healthy pizza. Their supply of white flour is restricted to 4100kg a week, while their supply for wholemeal flour is restricted to 2200kg a week. Using linear programming, find the optimal solution. Then calculate the extra profit or shadow price that can be generated arising from having one more kg of white flour available. Give your result for the shadow price in pounds and to at least 2 decimal places.

A food factory produces two kinds of pizza: standard and healthy. The healthy one uses 0.05kg white flour and 0.05kg wholemeal flour, while the standard one uses 0.09kg white flour and 0.01kg wholemeal flour. The company makes £0.9 profit with the standard pizza and £1.6 profit with the healthy pizza. Their supply of white flour is restricted to 4100kg a week, while their supply for wholemeal flour is restricted to 2200kg a week. Using linear programming, find the optimal solution. Then calculate the extra profit or shadow price that can be generated arising from having one more kg of white flour available. Give your result for the shadow price in pounds and to at least 2 decimal places.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 71P
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A food factory produces two kinds of pizza: standard and healthy. The healthy one uses 0.05kg white flour and 0.05kg wholemeal flour, while the standard one uses 0.09kg white flour and 0.01kg wholemeal flour. The company makes £0.9 profit with the standard pizza and £1.6 profit with the healthy pizza. Their supply of white flour is restricted to 4100OK a week, while their supply for wholemeal flour is restricted to 2200kg a week. Using linear programming, find the optimal solution. Then calculate the extra profit or shadow price that can be generated arising from having one more kg of white flour available. Give your result for the shadow price in pounds and to at least 2 decimal places.
Transcribed Image Text:A food factory produces two kinds of pizza: standard and healthy. The healthy one uses 0.05kg white flour and 0.05kg wholemeal flour, while the standard one uses 0.09kg white flour and 0.01kg wholemeal flour. The company makes £0.9 profit with the standard pizza and £1.6 profit with the healthy pizza. Their supply of white flour is restricted to 4100OK a week, while their supply for wholemeal flour is restricted to 2200kg a week. Using linear programming, find the optimal solution. Then calculate the extra profit or shadow price that can be generated arising from having one more kg of white flour available. Give your result for the shadow price in pounds and to at least 2 decimal places.
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ISBN:
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