Using the business data below, suppose a manager wants to use linear programming to find the optimal product mix of $2$ products that maximizes the total profit. There are $2$ decision variables X$1$ and X$2,$ which are the quantity for produce each product.

Write down the supply constraint of the electronic department.

Department

Hours to Produce $1$ Unit of Product $1$

Hours to Produce $1$ Unit of Product $2$

Hours Available

Electronic

$4$

$1$

$240$

Assembly

$2$

$3$

$100$

Profit Per Unit

$7$

$5$