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Formulate the Following as a Linear Program

question 99

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Formulate the following as a linear program.
Dane's aircraft muffler manufacturers have 1000 linear feet of steel on hand to manufacture the three top selling muffler sets. Super mufflers (S) provide $35 profit and common (C) mufflers' profit margin is $31, while the deluxe (D) muffler set provides a $40 profit margin. It takes 31 hours to make the super muffler, 29 hours to manufacture the common muffler, and 40 hours to build the deluxe muffler. If Dane is limited to 200 hours a month what is the optimum combination of mufflers to manufacture to maximize his profits?


Definitions:

Personal Liability

The legal responsibility of an individual to bear the burden of debt or obligation from his/her actions, separate from the liability of a business entity or corporation.

Control of Business

Refers to the authority or power to manage the operations, decisions, and policies of a company or organization.

Split Profits

The distribution of earnings or gains between partners, stakeholders, or businesses according to agreed-upon percentages or criteria.

Sole Proprietorship

A business owned and operated by a single individual where there is no legal distinction between the owner and the business entity.

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