Minimize $c = 5 x + 8 y$ Subject to the Following (Using the Simplex Method)

question 85

Short Answer

Minimize $c = 5 x + 8 y$ subject to the following (using the simplex method).
​ $$\begin{array} { l } 7 x + 3 y \geq 30 \\2 x + 3 y \geq 12 \\x \geq 0 , y \geq 0\end{array}$$ ​ $c =$ __________
​ $x =$ __________
​ $y =$ __________

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Definitions:

Preferred Stock

A class of ownership in a corporation with a higher claim on assets and earnings than common stock, often with fixed dividends.

Common Stock

A form of equity stake that signifies ownership within a corporation, granting the owner the right to vote and a portion of the corporation's earnings via dividends.

Cash Dividends

Distributions of a portion of a company's earnings, decided by the board of directors, to a class of its shareholders in the form of cash.

Stock Dividend

A type of dividend payment made in the form of additional shares of stock rather than cash, often used by companies to conserve cash.