Suppose That a Constraint Is Given by X + Y

question 76

Essay

Suppose that a constraint is given by X + Y ≤ 10. If another constraint is given to be 3X + 2Y ≥ 15, and if X and Y are restricted to be nonnegative, determine the corners of the feasible solution. If the profit from X is 5 and the profit from Y is 10, determine the combination of X and Y that will yield maximum profit.

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Definitions:

Felsic

A term used in geology to describe igneous rocks that are rich in light-colored minerals such as quartz, feldspar, and muscovite.

Pyroclastic Flows

High-density mixtures of hot volcanic ash, pumice, rock fragments, and volcanic gas that move away from the volcano at high speeds during an explosive eruption.

Mudflows

Rapid downhill movements of water-saturated earth material, primarily composed of mud and often triggered by heavy rainfall or volcanic activity.

Basaltic Lava

A type of molten rock that emerges from volcanoes or fissures on the Earth's surface, known for its low viscosity due to low silica content.