Robert Gardner Runs a Small, Local-Only Delivery Service

question 15

Essay

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: 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.
Formulate the integer goal programming problem for Robert. (Hint: objective function involves decision and deviation variables.)

---

Definitions:

Social Solidarity

The bonds that unite members of a society or community, fostering cohesion and mutual support among individuals.

Social Structures

The organized pattern of social relationships and social institutions that together compose society.

Suicide Rates

The statistical measure of the number of suicide deaths in a specified population, typically expressed per 100,000 individuals per year.

Global Structures

refers to the large-scale patterns and systems that affect individuals and societies worldwide, including economic, political, and cultural dimensions.