John's Locomotive Works Manufactures a Model Locomotive

question 85

Essay

John's Locomotive Works manufactures a model locomotive. It comes in two versions--a standard (X1), and a deluxe (X2). The standard version generates $250 per locomotive for the standard version, and $350 per locomotive for the deluxe version. One constraint on John's production is labor hours. He only has 40 hours per week for assembly. The standard version requires 250 minutes each, while the deluxe requires 350 minutes. John's milling machine is also a limitation. There are only 20 hours a week available for the milling machine. The standard unit requires 60 minutes, while the deluxe requires 120. Formulate as a linear programming problem, and solve using either the graphical or corner points solution method.

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Definitions:

Credit Terms

Conditions under which a seller extends credit to a buyer, including payment deadlines and interest rates.

Discount Period

The time frame during which a payment can be made at a reduced rate before the full amount becomes due.

Annual Interest

The total amount of interest payable or receivable over one year, depending on whether the context is savings, investment, or a loan.

Credit

An accounting entry that increases liabilities and equity, or decreases an asset or expense account, representing the opposite of a debit.