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Consider a department store that must make weekly shipments of a certain product from two different warehouses to four different stores. (a) How could a quantitative approach to decision making be used to solve this problem? A quantitative approach to decision making can provide a systematic way for deciding which inputs are controllable and which are uncontrollable. Q A quantitative approach to decision making can provide a systematic way to determine a minimum shipping cost from the warehouses to the stores. A quantitative approach to decision making can make use of the manager's prior experience and intuitive feel for the problem in order to decide which inputs are controllable and which are uncontrollable. O A quantitative approach to decision making can make use of the manager's prior experience and intuitive feel for the problem in order to determine a minimum shipping cost from the warehouses to the stores. (b) What would be the uncontrollable inputs for which data must be collected? (Select all that apply.) the supplies each week at each warehouse fixed costs and variable shipping costs the demand each week at each store O how much to ship from each warehouse to each store when to make each shipment to each store (c) Define the decision variables to appear in the mathematical model. O one for each warehouse-store pairing, taking on a value of 1 if any amount of product is shipped from that warehouse to that store and 0 otherwise O one for each warehouse, taking on the amount of product shipped from that warehouse O one for each warehouse, taking on a value of 1 if any amount of product is shipped from that warehouse and 0 otherwise one for each store, taking on the amount of product shipped to that store one for each warehouse-store pairing, taking on the amount of product shipped from that warehouse to that store Define the objective function to appear in the mathematical model. O maximize the average profit at each of the stores O minimize the total amount of product shipped minimize total shipping costs O maximize the total amount of product shipped O minimize the number of warehouses used Define the constraints to appear in the mathematical model. (Select all that apply.) D each store can only receive shipments from one warehouse no warehouse can ship more product than it has in supply O the demand at each store must be exceeded O each warehouse can only ship to one store D the demand at each store must be met (d) Is the model deterministic or stochastic? @ deterministic O stochastic (e) Which of the following are reasonable simplifying assumptions for this problem? (Select all that apply.) O Assume the variable shipping costs for each warehouse-store pairing are fixed. Assume the weekly supplies are constant at each warehouse. Assume the weekly demand is constant at each of the stores. D Assume the variable shipping costs for each warehouse-store pairing are equal. D Assume the weekly demand at each of the stores is equal
