Problem $02$: Model the problem as a liner problem that maximize the total profit

ChemLabs uses raw materials I and $II$ to produce two domestic cleaning solutions,

A and $B.$ The daily availabilities of raw materials I and $II$ are $150$ and $145$ units, respectively.

One unit of solution A consumes $S$ unit of raw material I and $\mathrm{.}6$ unit of raw material $II,$

and one unit of solution $B$ uses $\mathrm{.}5$ unit of raw material I and $\mathrm{.}4$ unit of raw material $II.$ The

profits per unit of solutions A and $B$ are $$8$ and $$10,$ respectively. The daily demand for

solution A lies between $30$ and $150$ units and that for solution $B$ between $40$ and $200$ units.