It Costs $12 to Make a Single Unit Using Regular

question 11

Multiple Choice

It costs $12 to make a single unit using regular production and $15 to make a single unit using overtime production. Total overtime production is limited to 500 units for the five month period. The manufacturing plant has a regular production capacity of 250 units per month and 50 units in inventory at the start of the planning period. There is a $5 per unit charge for holding inventory at the end of each month and a limit of 250 units ending inventory for any period. What is the total number of units to be produced using overtime throughout the entire planning period if the forecast must be met and costs are to be minimized with a zero ending inventory each month? $$\begin{array} { | l | c | } \hline { \text { Month } } & \text { Forecast } \\\hline \text { Tanuary } & 250 \\\hline \text { February } & 200 \\\hline \text { March } & 300 \\\hline \text { April } & 400 \\\hline \text { May } & 500 \\\hline\end{array}$$

• A)450
• B)500
• C)400
• D)350

---

Definitions:

Consecutive Odd Integers

A sequence of odd numbers where each number is two more than the previous one.

Product

The result of multiplying two or more numbers together.

Inequality

A relation that holds between two values when they are different, represented by symbols that show if one value is less than, greater than, or not equal to another value.

Real Number Line

A line that represents all real numbers in a continuous sequence, with positive numbers to the right of zero and negative numbers to the left.