Apply Linear Programming to This Problem

question 37

Multiple Choice

Apply linear programming to this problem.A firm wants to determine how many units of each of two products (products X and Y) they should produce in order to make the most money.The profit from making a unit of product X is $190 and the profit from making a unit of product Y is $112.The firm has a limited number of labor hours and machine hours to apply to these products.The total labor hours per week are 3,000.Product X takes 2 hours of labor per unit and Product Y takes 6 hours of labor per unit.The total machine hours available are 750 per week.Product X takes 1 machine hour per unit and Product Y takes 5 machine hours per unit.Which of the following is one of the constraints for this linear program?

• A)1 X + 5 Y =< 750
• B)2 X + 6 Y => 750
• C)2 X + 5 Y = 3,000
• D)1 X + 3 Y =< 3,000
• E)2 X + 6 Y =>3,000

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Definitions:

Industrial Market

The market for goods and services traded among businesses and institutions, rather than between businesses and private consumers.

Fisheries

Industry or activity concerned with catching, processing, or selling fish, shellfish, and sometimes whales.

State Governments

The government entities that have jurisdiction over particular states or provinces within a federal system, responsible for local legislation and governance.

Organizational Buyers

Those manufacturers, wholesalers, retailers, service companies, nonprofit organizations, and government agencies that buy products and services for their own use or for resale.