Suppose That a Constraint Is Given by X+Y≤10

question 31

Essay

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

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Definitions:

Worm Gear

A type of gear consisting of a worm (screw) that meshes with a gearwheel, used in mechanisms where large gear reductions are needed.

Preload

A predetermined force applied to a component, such as a bearing on assembly, usually with the objective of preventing unwanted (end) play in operation.

Endplay

The axial movement or float of a shaft or part within its housing, which can be critical for the proper functioning of mechanical systems.

Hydrostatic Systems

Systems that use a liquid under pressure to transfer force or motion, often found in hydraulic machinery and equipment.