Solve the linear programming problems in Problems 56-59.

The Thompson Company manufactures two industrial products, standard ( \(\$ 45\) profit per item) and economy (\$30 profit per item). These items are built using machine time and manual labor. The standard product requires \(3 \mathrm{hr}\) of machine time and \(2 \mathrm{hr}\) of manual labor. The economy model requires \(3 \mathrm{hr}\) of machine time and no manual labor. If the week's supply of manual labor is limited to \(800 \mathrm{hr}\) and machine time to \(15,000 \mathrm{hr}\), how much of each type of product should be produced each week to maximize the profit?