Question: Problet (12 points al 2 points for each part). Questions are on following page prices are given by one, and ca A firm produces three

Problet (12 points al 2 points for each part).

Problet (12 points al 2 points for each part). Questions are on following page prices are given by one, and ca A firm produces three outputs, denoted by b. b, and b. It uses four inputs XI. X. X, and xe, the input answer the questions given on the next page. The firm's optimal production plan and inpul usage are given in the following tables. Use these tables to Enpur X X2 13 X4 Amount of Input Hired 0.00 0.00 68.12 45.85 Per Unit Input Cost 12 15 14 11 TC 1,458.08 Total LHS Constraints Output 1 Produced Output 2 Produced Output 3 Produced Resource Usage 20 11 20 2 3 19 5 10 17 3 1 14 RHS 1.500 1,200 1,800 Variabie Cells Cell Name $B$4 Amount of Input Hired x1 $C$4 Amount of Input Hired x2 $DS4 Amount of Input Hired X3 $E$4 Amount of Input Hired x4 Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase De crease 0 7.327510917 12 1E+30 7.327510917 0 6.794759825 15 1E+30 6.794759825 68. 12227074 0 14 6.332075472 0.642857143 45.85152838 0 11 0.529411785 6.991666667 Constraints Cell Name SF$8 Output 1 Produced Total LHS $F$9 Output 2 Produced Total LHS $F$10 Output 3 Produced Total LHS Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 1500 0.03930131 1500 617.6470588 128.9156627 1340.174672 0 1200 140.1746725 1E+30 1800 0.777292576 1800 867.5675676 525 Question 3. Answer the questions on the following page. Suppose the firm decides to simultaneously increase the output I constraint to 1,845 and reduce 1 the output 3 constraint to 1,605. What is the expected change in TC

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