Solve it using post optimality analysis:

 

1. 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 the following table: Amount of Sugar Amount of Profit Bar (02) Chococalate (oz.) (c) 1 1 2 3 2 1 3 7 3 1 1 S Fifty oz. of sugar and 100 oz. of chocolate are available. After defining x, to be the number of Type candy bars manufactured, Sugarco should solve the following LP: maxz=3x+7x+5x3 subject to: x + x + xy S50 (sugar constraint) 2x + 3x + x, 100 (chocolate constraint) 20 After adding slack variables x, and xs, the optimal tableau is as shown below. B.V. x X: x RHS 2 3 4 1 300 xx 1/2 0 1 3/2 -1/2 25 1/2 1 0 -1/2 1/2 25 Using this optimal tableau, answer the following questions: a) if 60 oz of sugar were available, what would be Sugarco's profit? How many of each candy bar should the company make? (10 points) b) Suppose a Type 1 candy bar used only 0.5 oz of sugar and 0.5 oz of chocolate. Should Sugarco now make Type 1 candy bars? (10 points) c) Sugarco is considering making Type 4 candy bars. A Type 4 candy bar earns 17c profit and requires 3 oz of sugar and 4 oz of chocolate. Should Sugarco manufacture any Type 4 candy bars? (10 points)