A Small Firm Makes Three Products, Which All Follow the Same

question 69

Essay

A small firm makes three products, which all follow the same three step process, which consists of milling, inspection, and drilling.Product A requires 6 minutes of milling, 5 minutes of inspection, and 4 minutes of drilling; product B requires 2.5 minutes of milling, 2 minutes of inspection, and 2 minutes of drilling; and product C requires 5 minutes of milling, 4 minutes of inspection, and 8 minutes of drilling.The department has 20 hours available during the next period for milling, 15 hours for inspection, and 24 hours for drilling.Product A contributes $6.00 per unit to profit, product B contributes $4.00 per unit, and product C contributes $10.00 per unit.
Use the following computer output to find the optimum mix of products in terms of maximizing contributions to profits for the next period.
PROBLEM TITLE: LINEAR PROGRAMMING
PROBLEM IS A MAX WITH 3 VARIABLES AND 3 CONSTRAINTS.

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Definitions:

Shopkeepers

Individuals who own or operate retail businesses, selling goods to the public in shops or similar establishments.

Catholic Church

A major worldwide Christian church led by the Pope, based in Vatican City.

Irish-Catholic Immigrants

Immigrants from Ireland, often Catholic, who moved to other countries for better opportunities or to escape hardships.

Religious Toleration

The practice of allowing and accepting religious beliefs and practices that differ from one's own, often within a society or a state.