red, blue, and green. The objective function, represented with a dashed orange line, shows a total profit $=35.$

$3x+2y20$

$4x+6y15$

$y6$

$4x+5y=35$

If the objective is to maximize profit, what is the optimal solution?

Optimal Solution $(x=0,y=10).$

Optimal Solution $)=9,y=(0.$

Optimal Solution $(x=9,y=3\mathrm{.}5).$

Optimal Solution $)=2\mathrm{.}67,y=(6.$