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:

Inflation Adjustment

A change made to financial figures to account for the effects of inflation and maintain the purchasing power of money over time.

5-Year Loan

A type of loan that is scheduled to be repaid through payments over a period of five years.

Expected Inflation Rate

The anticipated rate at which the general level of prices for goods and services will rise over a period, affecting purchasing power.

Consumption Sector

A segment of the economy focused on the purchasing and use of goods and services by individuals and households.