a) 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?

b) Sugarco is considering making Type 4 candy bars. A Type 4 candy bar earns 17 profit and requires 3 oz of sugar and 4 oz of chocolate. Should Sugarco manufacture any Type 4 candy bars?

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: Bar 1 2 3 Amount of Sugar (oz.) 1 1 1 Amount of Chococalate (oz.) 2 3 1 Profit (C) 3 7 5 w N Fifty oz. of sugar and 100 oz. of chocolate are available. After defining xi to be the number of Type i candy bars manufactured, Sugarco should solve the following LP: max 2 = 3x1 + 7x2 + 5x3 subject to: x1 + x2 + x3 = 50 (sugar constraint) 2x1 + 3x2 + x3 = 100 (chocolate constraint) X1, X2, X3 20 After adding slack variables x4 and X5, the optimal tableau is as shown below. RHS B.V. X1 X2 X3 X4 Xs z 3 0 0 4 1 X3 1/2 0 1 3/2 -1/2 1/2 1 0 -1/2 1/2 Using this optimal tableau, answer the following questions: 300 25 25