Use the Given Feasible Region Determined by the Constraint Inequalities $f = 6 x + 7 y$

question 5

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the maximum possible value of $f = 6 x + 7 y$ subject to the following constraints:
$$\left\{ \begin{array} { l } 2 x + 3 y \leq 12 \\2 x + y \leq 8 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) 32
• B) 52
• C) 13
• D) 24

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Definitions:

Quantity Supplied

The amount of a good or service that producers are willing and able to sell at a given price over a certain period of time.

Supply Curve

A graph that illustrates the relationship between the price of a good and the quantity of the good that producers are willing to supply.

Transaction Costs

Expenses incurred when buying or selling goods and services, which can include broker fees, communication charges, or the cost of obtaining information.

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