Formulate the Following as a Linear Program

question 89

Essay

Formulate the following as a linear program.
Joe's Sports Shop is sponsoring a weekly boomerang-throwing contest as part of its spring promotions. Anyone may enter, but the boomerangs used must be purchased at the shop. Demand is unlimited. Two models can be made: the regular model (with a profit of $2 each) and the super model (which yields a $5 profit). However, production facilities are limited. A regular boomerang requires 1 hour of carving and 2 hours of finishing, while a super boomerang takes 3 hours to carve and 2 hours to finish. The skilled crafters employed by the shop have indicated they will spend no more than 75 hours carving and 100 hours finishing boomerangs per week. The owner wishes to allocate production in order to maximize profits.

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Definitions:

Self-awareness

The awareness of one's own personality, emotions, motivations, and wishes.

Sensory Receptor

A specialized structure that responds to environmental stimuli by conveying signals to sensory nerves.

Action Potentials

Electrical impulses in neurons or muscle cells that occur when the membrane potential of a cell rapidly rises and falls.

Receptor Potentials

The electrical potential changes occurring in sensory neurons’ receptors in response to stimulating agents, leading to the generation of action potentials.