the questions that follow where x-the quantity of product 1 to make etc. Maximize 12x+181+15x Subject to Machine Sx+4x3+3x3 S 160 minutes Labour 4x+10x+4x S 288 hours Material 2x+2x +4x S 200 kg Product 2 x2 S 16 units a. Are any constraints binding? If so, which one(s)? b. If the profit on product 3 was changed to $22 a unit, what would the optimal values of the c. If the profit on product 1 was changed to $22 a unit, what would the optimal values of the d. If 10 hours less of labour time was availabl decision variables be? The objective fiunction? Explain decision variables be? The objective finction? Explain variables be? The objective function? Explain. how much additional profit would be generated? variables change? Explain What would the optimal value of the objective function be? e, what would the optimal values of the decision decided that up to 20 units of product 2 could be produced (instead of 16). t. If profit per unit on each product increased by S1, would the optimal values of the decision Variable Cells Final Reduced Objective Allowable Allowable 114% e. If the manager decided that up to 20 units of product 2 could be produced (instead of 16), how much additional profit would be generated? . If profit per unit on each product increased by $1, would the optimal values of the decision variables change? Explain What would the optimal value of the objective function be? Variable Cells Allowable Final Reduced Value Objective Coefficlent Increase Decrease Cell Naime Cost 10.2 E+30 D.V results X1 D.V results X2 D.V results X3 12 18 15 0-102 2 7285714286 SCS3 SDS3 48 Final Shadow Constraint R.H. Side Allowable Decrease Value Price Increase Cell SDSS LHS SDS9 LHS Name 17.5 1E+30 13.33333333 E+30 10 56 160 4.2 200 0.6 16