1. ABC produces 3 types of candies. The amounts of sugar, and chocolate in each types...

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1. ABC produces 3 types of candies. The amounts of sugar, and chocolate in each types of candy and profits for candies are given in the following table. 50 gr sugar and 100 gr chocolate are available. Candyl Candy2 Candy3 Z 1 0 0 3 1/2 z 51 X3 X1 >, is the produced amount of sugar of type i. By using the optimal table given below, answer the following questions. 1. For what values of profit of candy 2, the current solution remains optimal. What will be the new solution if, a Profit of candy 2 is 20 TL. Amount of Sugar (gr) 1/2 XOOH 1 1 1 Xx 0 KOHO 0 1 0 2 0 -0.5 X: 1 0 Amount of Chocolate (gr) 3 1 -5 -8 -4 1.5 81 4 3/2 -1/2 82 1 Profit (TL) 3 7 5 -1/2 1/2 Example 4. In the Dakota problem, what would be the optimal solution if the sales price of the desk (the objective function coefficient of x) is changed to 50? According to the ranges found in Example 3, If the sales price of the desk (the objective function coefficient of x) is changed to 50, the current basis does not remain optimal. The revised simplex tableau is built to find the new solution: Basis Inverse RHS 15 260 2 24 8 2 RHS 300 25 25 Calculate reduced costs for nonbasic variables: 22-C-7.5; 25-cs=15; 26-6-5 xais entering variable with its most negative reduced cost. Add x2 column: 1. ABC produces 3 types of candies. The amounts of sugar, and chocolate in each types of candy and profits for candies are given in the following table. 50 gr sugar and 100 gr chocolate are available. Candyl Candy2 Candy3 Z 1 0 0 3 1/2 z 51 X3 X1 >, is the produced amount of sugar of type i. By using the optimal table given below, answer the following questions. 1. For what values of profit of candy 2, the current solution remains optimal. What will be the new solution if, a Profit of candy 2 is 20 TL. Amount of Sugar (gr) 1/2 XOOH 1 1 1 Xx 0 KOHO 0 1 0 2 0 -0.5 X: 1 0 Amount of Chocolate (gr) 3 1 -5 -8 -4 1.5 81 4 3/2 -1/2 82 1 Profit (TL) 3 7 5 -1/2 1/2 Example 4. In the Dakota problem, what would be the optimal solution if the sales price of the desk (the objective function coefficient of x) is changed to 50? According to the ranges found in Example 3, If the sales price of the desk (the objective function coefficient of x) is changed to 50, the current basis does not remain optimal. The revised simplex tableau is built to find the new solution: Basis Inverse RHS 15 260 2 24 8 2 RHS 300 25 25 Calculate reduced costs for nonbasic variables: 22-C-7.5; 25-cs=15; 26-6-5 xais entering variable with its most negative reduced cost. Add x2 column:

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