Formulate the Following as a Linear Program

question 99

Essay

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?

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Definitions:

Shih Hwang-ti

The first emperor of a unified China, known for his contributions to Chinese culture and history, such as the construction of the Great Wall of China.

King Jehoiakim

King Jehoiakim was a ruler of Judah, notable for his reign mentioned in the Hebrew Bible, where his actions and the consequences thereof are recorded.

Plato

Ancient Greek philosopher who was a student of Socrates and teacher of Aristotle, known for his contributions to Western philosophy.

Parallelism

The use of components in a sentence that are grammatically the same or similar in their construction, sound, meaning, or meter.