Classic Corporation manufactures two models, small and large. The weekly time available for processing the two models is 100 hours in machining and 90 hours in polishing. The contribution margin is $3 for the small model and $4 for the large model. Each model is processed as follows:

Machining Polishing Small 1 hour 2 hours Large 4 hours 3 hours Required In small groups, complete the following:

a. Formulate the objective function and constraint equations necessary to solve for the optimum product mix.

b. Prepare a short memo explaining how the linear programming approach differs from profit planning with an assumed product mix.