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Exhibit 74
the Following Questions Are Based on the Problem Below

question 3

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Exhibit 7.4
The following questions are based on the problem below.
Robert Gardner runs a small,local-only delivery service.His fleet consists of three smaller panel trucks.He recently accepted a contract to deliver 12 shipping boxes of goods for delivery to 12 different customers.The box weights are: 210,160,320,90,110,70,410,260,170,240,80 and 180 for boxes 1 through 12,respectively.Since each truck differs each truck has different load capacities as given below:
$\begin{array}{llll}\text { Truck} & \text { Weight Capacity } & \text { Box Capacity } & \text { Cost per pound }\\\hline 1 & 800 \text { pounds } & 5 & \$ 0.34 \\2 & 900 \text { pounds } & 6 & \$ 0.42 \\3 & 700 \text { pounds } & 4 & \$ 0.25\end{array}$ Robert would like each truck equally loaded,both in terms of number of boxes and in terms of total weight,while minimizing his shipping costs.Assume a cost of $50 per item for trucks carrying extra boxes and $0.10 per pound cost for trucks carrying less weight.
The following integer goal programming formulation applies to his problem.
Y₁= weight loaded in truck 1;Y₂= weight loaded in truck 2;Y₃= weight loaded intruck3;X_i,j= 0 if truck i not loaded with box j;1 if truck i loaded with box j.
Given the following spreadsheet solution of this integer goal programming formulation,answer the following questions.
$Exhibit 7.4 The following questions are based on the problem below. Robert Gardner runs a small,local-only delivery service.His fleet consists of three smaller panel trucks.He recently accepted a contract to deliver 12 shipping boxes of goods for delivery to 12 different customers.The box weights are: 210,160,320,90,110,70,410,260,170,240,80 and 180 for boxes 1 through 12,respectively.Since each truck differs each truck has different load capacities as given below: \begin{array}{llll}\text { Truck} & \text { Weight Capacity } & \text { Box Capacity } & \text { Cost per pound }\\ \hline 1 & 800 \text { pounds } & 5 & \$ 0.34 \\ 2 & 900 \text { pounds } & 6 & \$ 0.42 \\ 3 & 700 \text { pounds } & 4 & \$ 0.25 \end{array} Robert would like each truck equally loaded,both in terms of number of boxes and in terms of total weight,while minimizing his shipping costs.Assume a cost of $50 per item for trucks carrying extra boxes and $0.10 per pound cost for trucks carrying less weight. The following integer goal programming formulation applies to his problem. Y1 = weight loaded in truck 1;Y2 = weight loaded in truck 2;Y3 = weight loaded intruck3;Xi,j = 0 if truck i not loaded with box j;1 if truck i loaded with box j. Given the following spreadsheet solution of this integer goal programming formulation,answer the following questions. -Refer to Exhibit 7.4.The spreadsheet model has scaled all the weights from pounds into 100s pounds.How does this scaling effect the solution obtained using the Risk Solver Platform RSP)?$
-Refer to Exhibit 7.4.The spreadsheet model has scaled all the weights from pounds into 100s pounds.How does this scaling effect the solution obtained using the Risk Solver Platform RSP)?

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Exhibit 74 the Following Questions Are Based on the Problem Below

Definitions:

Exhibit 74
the Following Questions Are Based on the Problem Below