A company produces sound systems for household use. Demand for the first $6$ months of the upcoming year can be seen in the table below. You have been commissioned to create the aggregate plan based on the following information.

Demand and Working Days

January February March April May June

Demand Forecast $600851798833802577$

Working Days $221921212220$

Costs

Materials $134$ $ per unit

Inventory holding cost $13$ $ per unit per month

Marginal cost of stock$-$out $16$ $ per unit per month

Total cost of subcontracting $195$ $ per unit $[$calculate the marginal cost of subcontracting below$]$

Hiring and training cost $151$ $ per worker

Layoff cost $207$ $ per worker

Labour hours required $5$ per unit

Straight$-$time cost $[$first $8$ hours of each day$]12\mathrm{.}00$ $ per hour

Overtime cost $[$time and a half$]18\mathrm{.}00$ $ per hour

Inventory

Beginning Inventory $292$ units

Safety stock required $12\%$ of monthly demand

Before continuing, provide the marginal cost of subcontracting in the space below.

Using the numbers provided, calculate the number of workers you will use for your assessment for part b $[$see Question $3$ or instructions provided in Moodle$]$:

b$)$ Constant workforce based on average production over the $6$th months using stock outs and inventory only $($calculate the workforce: total demand$/$total work hours per $1$ employee$)$

Round up to the next whole number