Dolphin Technologies is launching two new hacking tools that allow users to perform all sorts of legal and practical jokes on other people$$s electronic devices. But since Dolphin Technologies is a relatively small company, and their labor$-$hours are very limited$,$ so the management wishes to incorporate linear programming to determine the number of each of the two different products to produce in the next fiscal year. The following information concerns labor availability, labor utilization, and product profitability.

Product $($hours per unit$)$

Department

Wi$-$Fi Jammer

TV Muter

Available labor$-$hours

Chip Manufacturing

$1$

$0\mathrm{.}25$

$80$

Case Fabricating

$0\mathrm{.}5$

$0\mathrm{.}1$

$30$

Profit contribution per unit

$$70$

$$30$

Flag question: Question $2$

Question $25$ pts

Develop a linear programming model to determine the optimal production quantities of Wi$-$Fi Jammers and TV