QUESTION 7 Consider the Puck and Pawn problem introduced in appendix A. There the marginal profits were $2 per hockey stick and $4 per chess set. If the marginal profit for hockey stick increases to $3 (all other values remaining the same), what is the new maximum profit that can be generated? QUESTION G A firm makes paper at three locations: Seattle (Washington), Kalamazoo (Michigan), and Boise (Idaho). The product is needed in four locations: New York, Chicago, Houston, and Los Angeles. The demand in tons, the capacities in tons, and the cost of shipping one ton of paper from each source to each demand center are given below: capacity 400 800 1200 demand 500 New York Seattle 250 Kalamazoo 150 Boise 200 400 Chicago 150 75 180 450 Houston 200 250 220 600 Los Angeles 100 300 90 For example, the capacity of the plant in Seattle is 400 tons: the demand at Houston is 450 tons and the cost of shipping one ton of paper from Seattle to New York is $250. Find the least cost of transporting the material. (All assumptions of the transportation model holds, such as the linearity of the cost of shipment) QUESTION 8 Consider the linear program given below: Decision variables: A, B, C, and D Objective: maximize 3 A + 5 B+C +2D Constraints: A + B + C + D