A Company Wants to Purchase Large and Small Delivery Trucks

question 26

Essay

A company wants to purchase large and small delivery trucks. The company wants to purchase about 10 large and 15 small trucks. Each large truck costs $30,000 and has a 10 ton capacity. Each small truck costs $20,000 and has a 7 ton capacity. The company wants to have about 200 tons of capacity and spend about $600,000.
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Formulate a goal programming model of this problem.

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Definitions:

Costs of Overstocking

Expenses related to holding excess inventory, including storage, insurance, and losses due to obsolescence or deteriorating items.

Costs of Understocking

Expenses incurred due to insufficient inventory levels, leading to lost sales, backorders, and potentially damaged customer relationships.

Cycle Service Level

A performance metric that measures the probability of meeting customer demand without stockouts within a given inventory cycle.

Profitability

A measure of the efficiency and effectiveness of a company's operations, indicated by its ability to generate income relative to revenue, assets, equity, or other financial metrics.