Billy Penny Is Trying to Determine How Many Units of Two

question 15

Short Answer

Billy Penny is trying to determine how many units of two types of lawn mowers to produce each day.One of these is the Standard model, while the other is the Deluxe model.The profit per unit on the Standard model is $60, while the profit per unit on the Deluxe model is $40.The Standard model requires 20 minutes of assembly time, while the Deluxe model requires 35 minutes of assembly time.The Standard model requires 10 minutes of inspection time, while the Deluxe model requires 15 minutes of inspection time.The company must fill an order for 6 Deluxe models.There are 450 minutes of assembly time and 180 minutes of inspection time available each day.How many units of each product should be manufactured to maximize profits?
Let X = number of Standard models to produce
Y = number of Deluxe models to produce
Maximize 60X + 40Y
Subject to: 20X + 35Y ≤ 450
10X + 15Y ≤ 180
Y ≥ 6
X, Y ≥ 0

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Definitions:

Large Corporations

Significantly sized business entities that operate in multiple regions or countries, typically characterized by complex organizational structures and substantial market influence.

Merton's Strain Theory

A sociological theory that explains deviance and crime as a result of the disconnection between societal goals and the means available to achieve them.

White-Collar Crime

White-collar crime involves non-violent, financially motivated offenses committed by business and government professionals, typically involving fraud, embezzlement, or corruption.

Street Crimes

Include arson, break and enter, assault, and other illegal acts disproportionately committed by people from lower classes.