What if we allow overtime and subcontracting? Develop an alternative plan which satisfies all the demand on time, but allows for overtime and subcontracting.

Regular time cost: $$\frac{12\mathrm{.}50}{?}$ hour

vertime is paid on a time $-$ and $-$ a $-$ half basis

Overtime is limited to $3$ hours per employee per day

No more than $100,000$ gallons can be subcontracted in any quarter

Employees work $7.$ hours$/$day$,5$ days$/$week$,4$

weeks$/$month

Assume a maximum of $370$ workers can be employed

Step $1$: What is the cost of producing one unit during regular time and cost of producing one unit during overtime?