Use the Given Feasible Region Determined by the Constraint Inequalities $x$

question 143

Multiple Choice

Use the given feasible region determined by the constraint inequalities to find the minimum possible value of the
objective function.
-Find the values of $x$ and $y$ that give the maximum possible value of $g = 8 x + 12 y$ subject to the following constraints:
$$\left\{ \begin{array} { l } 40 x + 80 y \leq 560 \\6 x + 8 y \leq 72 \\x \geq 0 , y \geq 0\end{array} \right.$$

• A) \(x = 8 , y = 3\)
• B) \(x = 14 , y = 0\)
• C) \(x = 12 , y = 0\)
• D) \(x = 0 , y = 9\)

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Definitions:

Demand

The desire and ability of consumers to purchase goods or services at a given price over a specific period.

Multiproduct Break-even Analysis

An analysis technique used to determine the point at which total revenue equals total costs for multiple products, indicating no profit or loss.

Total Sales

The sum of all sales revenue that a company earns over a given period of time.

Discounted Value

The present value of a future amount of money or stream of income, adjusted for time and risk.