PLEASE ANSWER #36 only letter A

Part 1 Linear Programming b. What is the maximum price the store would be justified in paying for additional pine bark? c. What is the marginal value of labor? Over what range is this value in effect? d. The manager obtained additional machine time through better schedul- ing. How much additional machine time can be effectively used for this operation? Why? e. If the manager can obtain either additional pine bark or additional stor- age space, which one should be chosen and how much should be obtained (assuming additional quantities cost the same as usual)? f. If a change in the chip operation would increase the profit on chips from $6 per bag to $7 per bag, would the optimal quantities change? Would the value of the objective function change? If so, what would the new value(s) be? 36. A firm produces jars of chilled fruit that are sold to restaurants. Three va- rieties of fruit are sold: California mix (x), Florida mix (x2), and Hawaiian mix (x3). A linear programming model for the process is: maximize 4x, + 3x2 + 6xz (profit) subject to Oranges 32, + 2x2 + 1x, 5 920 pounds Grapefruit 2x + 2x2 + 2x3 s 900 pounds Pineapple 1x, + 2.x2 + 3x3 s 930 pounds Peeling/cutting 1.2x, + 1.4x2 + 1.5x2 = 1,260 minutes Mixing/packaging 1x + 2x2 + 1x: $ 600 minutes X1, 42, x3 = 0 The equipment used for peeling and cutting must be replaced. The new