The following table summarizes the key facts about two products, A and B, and the resources, Q, R., and S, required to produce them. Resource Q Resource Usage per Unit Produced Product A 2 R 1 S 3 Profit per Unit 3 Product B 1 2 3 2 Amount of Resource Available 224 All the assumptions of linear programming hold. (a) Formulate a linear programming model for this problem. (b) Solve this model graphically. (c) Verify the exact value of your optimal solution from part (b) by solving algebraically for the simultaneous solution of the relevant two equations.