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The logistics/operations manager of a mail order house purchases two products for resale: king beds (K) and queen beds (Q). Each king bed costs $500 and requires 100 cubic feet of storage space, and each queen bed costs $300 and requires 90 cubic feet of storage space. The manager has $75,000 to invest in beds this week, and her warehouse has 18,000 cubic feet available for storage. Profit for each king bed is $300 and for each queen bed is $150. What is the objective function?

Respuesta :

Answer:

As we want to maximize the profit, the objective function is the profit function:

[tex]Profit=300*K+150*Q[/tex]

Explanation:

This is a linear programming problem.

We want  to maximize the profit, and the limitations are budget, where we take into account the cost of the types of beds, and warehouse space, where we take into account the space the beds required.

As we want to maximize the profit, the objective function is the profit function:

[tex]Profit=300*K+150*Q[/tex]

The constraints are:

- Budget

[tex]500K+300Q\leq75000[/tex]

- Warehouse space:

[tex]100K+90Q\leq 18000[/tex]

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