Exhibit 74
the Following Questions Are Based on the Problem Below

question 3

Essay

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.

-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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Definitions:

Herpes Simplex Virus

A virus that causes contagious sores, most often around the mouth or on the genitals.

Foreskin

The skin fold that can be pulled back, covering the tip of the penis.

Phimosis

A condition where the foreskin of the penis is too tight to be pulled back over the glans.

PID

Pelvic Inflammatory Disease, a condition affecting the female reproductive organs due to infection.