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Sugarco can manufacture three types of candy bar. Each candy bar consists totally of sugar and chocolate. The compositions of each type of candy bar and the profit earned from each candy bar are shown in Table 10. Fifty oz of sugar and 100 oz of chocolate are available. After defining x; to be the number of Type i candy bars manufactured, Sugarco should solve the following LP: max z = 3x, + 7x, + 5.x3 xi + x2 + xz < 50 2.x1 + 3x2 + x3 < 100 (Sugar constraint) (Chocolate constraint) s.t. X1, X2, X3 2 0 TABLE 10 Amount of Sugar (Ounces) Amount of Chocolate (Ounces) Profit (Cents) Bar 2 3 2 3 7 3 1 1 Find and interpret the shadow prices for this problem.

Sugarco can manufacture three types of candy bar. Each candy bar consists totally of sugar and chocolate. The compositions of each type of candy bar and the profit earned from each candy bar are shown in Table 10. Fifty oz of sugar and 100 oz of chocolate are available. After defining x; to be the number of Type i candy bars manufactured, Sugarco should solve the following LP: max z = 3x, + 7x, + 5.x3 xi + x2 + xz < 50 2.x1 + 3x2 + x3 < 100 (Sugar constraint) (Chocolate constraint) s.t. X1, X2, X3 2 0 TABLE 10 Amount of Sugar (Ounces) Amount of Chocolate (Ounces) Profit (Cents) Bar 2 3 2 3 7 3 1 1 Find and interpret the shadow prices for this problem.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter3: Introduction To Optimization Modeling
Section: Chapter Questions
Problem 42P
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Find and interpret the shadow prices for the problem. 

Sugarco can manufacture three types of candy bar. Each candy bar consists totally of sugar and chocolate. The compositions of each type of candy bar and the profit earned from each candy bar are shown in Table 10. Fifty oz of sugar and 100 oz of chocolate are available. After defining x; to be the number of Type i candy bars manufactured, Sugarco should solve the following LP: max z = 3x1 + 7x2 + 5x3 X1 + x2 + X3 < 50 2x1 + 3x2 + X3< 100 s.t. (Sugar constraint) (Chocolate constraint) X1, X2, X3 2 0 TABLE 10 Amount of Sugar (Ounces) Amount of Chocolate (Ounces) Profit (Cents) Bar 1 1 2 3 2 1 3 7 1 1 5 Find and interpret the shadow prices for this problem.
Transcribed Image Text:Sugarco can manufacture three types of candy bar. Each candy bar consists totally of sugar and chocolate. The compositions of each type of candy bar and the profit earned from each candy bar are shown in Table 10. Fifty oz of sugar and 100 oz of chocolate are available. After defining x; to be the number of Type i candy bars manufactured, Sugarco should solve the following LP: max z = 3x1 + 7x2 + 5x3 X1 + x2 + X3 < 50 2x1 + 3x2 + X3< 100 s.t. (Sugar constraint) (Chocolate constraint) X1, X2, X3 2 0 TABLE 10 Amount of Sugar (Ounces) Amount of Chocolate (Ounces) Profit (Cents) Bar 1 1 2 3 2 1 3 7 1 1 5 Find and interpret the shadow prices for this problem.
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