The Four-Season Corporation manufactures two products: H and C. Product H requires two units of materials and 4 direct labor hours. Product \(\mathrm{C}\) requires four units of materials and two direct labor hours. The unit contribution margins are \(\$ 6\) and \(\$ 4\) for \(\mathrm{H}\) and \(\mathrm{C}\), respectively. There are 100 direct labor hours and 80 units of materials available.

{Required.}

1. Formulate the objective function and the constraints necessary to determine the optimal product mix.

2. Use the graphic method to determine the optimal product mix.