A Company Can Decide How Many Additional Labor Hours to Acquire

question 106

Essay

A company can decide how many additional labor hours to acquire for a given week.Subcontractor workers will only work a maximum of 20 hours a week.The company must produce at least 200 units of product A, 300 units of product B, and 400 units of product C.In 1 hour of work, worker 1 can produce 15 units of product A, 10 units of product B, and 30 units of product C.Worker 2 can produce 5 units of product A, 20 units of product B, and 35 units of product C.Worker 3 can produce 20 units of product A, 15 units of product B, and 25 units of product C.Worker 1 demands a salary of $50/hr, worker 2 demands a salary of $40/hr, and worker 3 demands a salary of $45/hr.The company must choose how many hours they should contract with each worker to meet their production requirements and minimize labor cost.
(a)Formulate this as a linear programming problem.
(b)Find the optimal solution.

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Definitions:

Pregnant

A state of carrying a developing fetus within the female body.

Nursing

The field and practice of providing care and assistance to patients for the promotion, maintenance, and restoration of health.

Amplitude

The magnitude or strength of a variable attribute, such as a wave.

Frequency

Refers to the rate at which a repeating event occurs, such as the number of occurrences of a particular event within a set period of time.