Solve the Following Problem Using the Simplex Method

question 19

Short Answer

Solve the following problem using the simplex method.
$\begin{array} { l } \text { Minimize } \mathrm { Z } = 2 x _ { 1 } + 6 x _ { 2 } \\\text { Subject to: } \quad 2 x _ { 1 } + 4 x _ { 2 } \leq 12 \\\qquad 3 x _ { 1 } + 2 x _ { 2 } \geq 9 \\x _ { 1 } , x _ { 2 } \geq 0\end{array}$

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Definitions:

Net Operating Income

The profit realized from a business's operations after subtracting operating expenses but before taxes and interest.

Variable Selling

Refers to the costs associated with selling a product or service that fluctuate with the level of sales activity, such as commissions and shipping charges.

Absorption Costing

A cost accounting methodology that absorbs all production costs, like direct materials, direct labor, and overhead expenses whether variable or fixed, into the final cost of a product.

Variable Costing

A costing method that includes only the variable manufacturing costs (direct materials, direct labor, and variable manufacturing overhead) in product costs.