$29 for product 3. (a) Formulate a linear programming model for maximizing total profit contribution. (Let Pi= units of product i produced, for i=1,2, 3.) Max s.t. Department A Department B Department C P1,P2,P30 (b) Solve the linear program formulated in part (a). How much of each product should be produced, and what is the projected total profit contribution (in dollars)? (P1P2,P3)=(withprofit$ $