Use the Given Feasible Region Determined by the Constraint Inequalities $\mathrm { f } = 3 \mathrm { x } + 11 \mathrm { y }$

question 1

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
- $\mathrm { f } = 3 \mathrm { x } + 11 \mathrm { y }$ subject to the constraints
$$\left\{ \begin{array} { l } 5 x + 4 y \geq 180 \\x + 2 y \leq 66 \\y \geq 0\end{array} \right.$$

• A) 323
• B) 108
• C) 198
• D) 0

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Definitions:

Direct Materials Price Variance

A measure used in management accounting to assess the difference between the actual cost of materials used in production and the expected (standard) cost.

Direct Materials Quantity Variance

A measure of the difference between the actual quantity of materials used in production and the expected quantity, based on standards.

Total Direct Materials Cost Variance

The difference between the actual costs of direct materials used in production and the expected (or standard) costs.

Direct Materials Price

The cost of raw materials and components required for the manufacture of a product.