If D 1 = $1.25, g (which is constant) = 5.5%, and P 0 = $36,…
Questions
If D 1 = $1.25, g (which is cоnstаnt) = 5.5%, аnd P 0 = $36, then whаt is the stоck’s expected tоtal return for the coming year?
A cаrgо аirplаne has a cоmpartment fоr storing cargo. This compartment has a weight capacity of 27 tons and a space capacity of 16,000 tons. The following four cargo types have been offered for shipment on an upcoming flight as space is available: Cargo Weight (tons) Volume (cu ft)/ton Profit ($/ton) Apparel 14 500 100 Electronics 10 700 130 Hardware 18 600 105 Supplies 9 400 90 For example, there are up to 14 tons of apparel available, each ton takes up 500 cubic feet, and earns $100 in profit. Any portion of each of these cargoes can be accepted. The objective is to determine how much of each cargo type should be accepted to maximize the total profit for the flight. Use the GOMP to define your model in words, including the objective, decision variables, and constraints. (10 points) Use the GOMP to formulate your model mathematically, including the decision variables, objective function, and constraints. (10 points) Now suppose there is a fixed cost of $200 for each cargo type loaded—meaning that if any amount of a cargo type is accepted, the cost is incurred; otherwise, it is not. Reformulate your mathematical model to reflect this. You do not need to rewrite the full GOMP from parts (1) and (2); instead, introduce any new decision variables, update the objective function, and include the necessary constraints to capture this fixed cost condition. (7 points) In addition to the fixed costs in part (3), suppose you are required to take on at least two types of cargo, but no more than three. What new constraints would you add to the mathematical model in part (3) to reflect this requirement? Write the new constraints mathematically. (3 points)
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