$3.(9)$JoShop manufactures three products whose unit profits are $\backslash (\backslash$$ $2,\backslash$$ $5\backslash ),$ and $\backslash (\backslash$$ $3\backslash ),$ respectively. The company has budgeted $80$ hrs of labor time and $65$ hrs of machine time for the production of the three products. The labor requirements per unit of products $1,2,$ and $3$ are $2,1,$ and $2$ hrs$,$ respectively. The corresponding machine$-$time requirements per unit are $1,1,$ and $2$ hrs$.$ JoShop regards the budgeted labor and machine hours as goals that may be exceeded, if necessary, but at the additional cost of $\backslash (\backslash$$ $15\backslash )$ per labor hour and $\backslash (\backslash$$ $10\backslash )$ per machine hour. Formulate the problem as an LP and determine its optimum solution using Excel Solver.