Given the Following Linear Program

question 54

Essay

Given the following linear program:
Min
150X + 210Y
s.t.
3.8X + 1.2Y ≥ 22.8
Y ≥ 6
Y ≤ 15
45X + 30Y = 630
X, Y ≥ 0
​
Solve the problem graphically. How many extreme points exist for this problem?

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Definitions:

Chief Cells

Cells located in the stomach that secrete pepsinogen, an enzyme precursor that plays a key role in digestion.

Pepsinogen

The precursor of pepsin; secreted by chief cells in the gastric glands of the stomach.

Hydrochloric Acid

A strong corrosive acid that is used in the digestive system to help digest food and kill bacteria.

Herbivores

Animals that eat plants as their primary source of food, using special adaptations to digest a largely vegetarian diet.