An Objective Function and a System of Linear Inequalities Representing

question 220

Multiple Choice

An objective function and a system of linear inequalities representing constraints are given. Graph the system of
inequalities representing the constraints. Find the value of the objective function at each corner of the graphed
region. Use these values to determine the maximum value of the objective function and the values of x and y for
which the maximum occurs.
- $$\begin{array} { l l } \text { Objective Function } & \mathrm { z } = 3 \mathrm { x } + 5 \mathrm { y } \\\text { Constraints } & \mathrm { x } \geq 0 \\& \mathrm { y } \geq 0 \\& 2 x + y \leq 15 \\& x - 3 y \geq - 3\end{array}$$

• A)Maximum 33; at (6, 3)
• B)Maximum 75; at (0, 15)
• C)Maximum 22.5; at (7.5, 0)
• D)Maximum 38; at (6, 4)

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Definitions:

Determining Cost of Inventory

Involves valuing the items sold and those remaining in stock by allocating costs based on specific identification, FIFO, LIFO, or weighted average methods.

FIFO

"First In, First Out," an inventory valuation method where goods first added to inventory are the first ones to be used or sold.

LIFO

Last In, First Out, an inventory valuation method where the last items placed in inventory are the first to be used or sold.

Inventory Control

The supervision of the supply, storage, and accessibility of items in order to ensure an adequate supply without excessive oversupply.