Management at Building Supplies, LLC., is considering entering a new market. Thr

Question

Management at Building Supplies, LLC., is considering entering a new market. Three potential sites have been selected to build cement plants but it may build only one or two plants. The cement produced at the plants will be shipped to three distribution centers in the city. The following table gives the weekly capacities and fixed operating costs of the proposed plants, the unit variable shipping costs from each potential plant to each distribution center, and the weekly demands of the distribution centers. The capacities and demands are in tons. Shipping Cost to Distribution Center Capacity Cost 12 2800 1 Deman 100 You are required to formulate an integer programming model to determine at which sites plants should be built and the quantity to ship from each plant to each distribution center. The objective is to minimize the total of weekly fixed operating costs and variable transportation costs. The correct definitions of the decision variables are quantity shipped along the road from plant i to distribution center i 0, ifXy = 0, ie., if the road from plant to distribution center) s not used f >0, i.e., if the road from plant i to distribution center j is used -quantity shipped along the road from plant i to distribution centerj 0, if a plant is not built at sitei if a plant is built at site i Xu-variable cost of shipping a unit along the arc from potential plant i to distribution center fixed cost of the road along the arc from potential plant i to distribution center j yvariable cost of shipping a unit along the arc from potential plant i to distribution center j y,-fixed cost of operating the plant at site i. none of the above

Explanation / Answer

question 1 : 4

because we have to calculate total cost

question 2 : 1

we have to add all the cost that is gonna spend

question 3 : 3

we took x(ij) as the transportation cost from i to j. so it will will be total cost of transportation.

question 4 : 4

because we choose y as the fixed operating cost. therfore it is the total fixed opertation cost

according to chegg policy. i can answere for only first question...

but if you still need help. then you can ask me in the comment section.

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