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Maximize p=7x+9yp = 7 x + 9 y Subject to the Following (Using the Simplex Method)

question 134

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Maximize p=7x+9yp = 7 x + 9 y subject to the following (using the simplex method) .
9x+8y144x+y88x+9y144x0,y0\begin{aligned}9 x + 8 y & \leq 144 \\x + y & \geq 8 \\8 x + 9 y & \leq 144 \\x \geq 0 , y & \geq 0\end{aligned}


Definitions:

Units Per Period

A measure of productivity or output over a given time frame, indicating the number of units produced or sold.

Diminishing Marginal Returns

The principle that adding more of one factor of production, while holding others constant, will eventually yield lower additional outputs.

Total Product

The overall quantity of output produced by a firm from a given quantity of inputs.

Constant Rate

A consistent, unchanging speed or pace at which something occurs or changes over time.

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