3. SGR Itd can manufacture three types of candy bar. Each candy bar consists of sugar and chocolate. The compositions of each type of candy bar and the profit earned from each candy bar are shown in Table below: 50oz of sugar and 100oz of chocolate are available. Formulate the problem as LP problem maximizing the profit. From the simplex optimal tableau, answer the following questions: (a) For what values of Type 1 candy bar profit does the current basis remain optimal? If the profit for a Type 1 candy bar were 7 cents, what would be the new optimal solution to SGR problem? (b) For what values of Type 2 candy bar profit would the current basis remain optimal? If the profit for a Type 2 candy bar were 13 cents, then what would be the new optimal solution to SGR problem? (c) For what amount of available sugar would the current basis remain optimal? (d) If 60oz of sugar were available, what would be SGRs profit? How many of each candy bar should the company make? Could these questions be answered if only 30oz of sugar were available? (e) Suppose a Type 1 candy bar used only 0.5oz of sugar and 0.5oz of chocolate. Should SGR now make Type 1 candy bars