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:

Trypsin

A digestive enzyme produced in the pancreas and secreted into the small intestine, where it breaks down proteins into smaller peptides.

Small Intestine

The part of the gastrointestinal tract between the stomach and large intestine, where most of the digestion and absorption of nutrients takes place.

Duodenum

The first part of the small intestine immediately beyond the stomach, where most chemical digestion takes place.

Jejunum

The mid-section of the small intestine in humans, where most of the digestion and absorption of nutrients occurs.