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:

Diversity

Refers to the inclusion of individuals from various backgrounds, cultures, genders, ethnicities, and beliefs in a group or organization, recognizing and valuing differences.

Disrespectful Behavior

Actions or words that show a lack of courtesy or respect towards others, often creating a hostile environment.

Cyberloafing

The act of using the internet for non-work-related activities during working hours, leading to productivity loss.

Lost Productivity

The decrease in the efficiency or output of work due to various factors such as distractions, absenteeism, or inefficiencies.