Question 1 The linear programming model below was solved by computer Maximise2 - 55, +2013+146, Subject to: Lahour 5x + 6x2 + 4xy = 210 hours Machine 4x4 + 2xy + 5x, 5 170 minutes Material 10x, +8r; +51,5 200 pounds *1*3420 where 11 = quantity of product *: quantity y of product 2 *, quantity of product The following information was obtained from the output. Total profit = 548.00 Variable value Reduced cost Range of Optimality Product 1 0 106 unlimited to 25,60 Product 2 50 9.40 to 22.40 Product 3 320 12.50 to 50.00 Constraint Slack Shadow price Range of Feasibility Labour 52 0.0 158.00 to unlimited Material o 24 170.00 to 270.91 Machine 0 0.4 50.00 to 200.0 a) By how much would the profit per unit of product i have to increase in order for it to have a none-zero value? EV (5) b) If the profit per unit of product 2 increased by GHC 2 to GHC 22, would the optimal production quantities of products 2 and 3 change? Would the optimal value of the objective function change? CR (8) c) If the available amount of material increased by 10 pounds to 210 pounds, how would that affect the optimal value of the objective function EV (7) d) Which resource(s) is/are efficiently used at the optimal? Justify CR