This is all the information I have, please answer all the parts :)

1. (65p) Sugar Co. manufactures three types of candy bar. Each candy bar consists totally of sugar and chocolate. The composition of each type of candy bar and the profit earned from each candy bar are shown in the following table. 50 ounces of sugar and 100 ounces of chocolate are available. The aim is to find the production amount for each bar that maximizes the total profit. a) (5p) Formulate an LP model for this problem. In your model, define xi to be the number of type i candy bar to produce for i=1,2,3. b) (5p) Solve this LP problem using LINDO and generate the sensitivity analysis report. What is the optimal basis (set of basic variables)? c) (10p) Consider the optimal basis you find in part b and create the entire optimal simplex tableau for this optimal basis using matrix operations. d) (10p) If the profit for type 1 candy bar were 7 cents, what would be the new optimal solution? Update the optimal simplex tableau for the original problem (that you found in part c) and apply simplex algorithm. e) (10p) For what range of values of the unit profit for type 2 candy bar (currently 7 cents) does the current optimal basis remain optimal? Answer this question using matrix operations, then verify your findings by looking at the sensitivity analysis report by LINDO. Will the optimal solution or the optimal profit vary as the unit profit for type 2 candy bar varies within this range? If yes, how? f) (10p) For what range of values of the available sugar (currently 50 ounces) does the current optimal basis remain optimal? Answer this question using matrix operations, then verify your findings by looking at the sensitivity analysis report by LINDO. Will the optimal solution or the optimal profit vary as the amount of available sugar varies within this range? If yes, how? g) (5p) If the available sugar amount was 40 ounces, how much would be the optimal profit? Compute the new z value using the dual price and the current z value. h) (10p) Sugar Co. is considering to make type 4 candy bar. A type 4 candy bar earns 17 cents profit and requires 3 ounces of sugar and 4 ounces of chocolate. Should Sugar Co. manufacture any type 4 candy bar? Why or why not? If yes, what is the new optimal solution? (Remark. Use the optimal basis of current problem as the initial solution to the new problem. For that, you need to add the column that corresponds to candy bar 4 to the optimal simplex tableau found in part c). You can use simplex tableau method or revised simplex method, whichever you prefer