M3_A_t. Tuskaseigee Pottery Company is a small business that produces clayr bowls and mugs. The two resources used by the company are special North Carolina clayr and labor. Giyen that they only have resources that want to know how many bowls and mugs that they should produce to maximize prot. The two products haye the following resou rce requirements for each type of item produced. There are 40 hours of labor and 120 pounds of clayr ayailable each clayr for production. Solve this two decision variable problem using the LP Graphing utility. Resource Requirements Product Labor (hraJ unit} Clay {Estunitl Prot {funit} Etowl l 4 Lil] Mug 2 3 50 a} What is the profit {value ofthe objectiye function} forthe optimal solution? b} How many bowls should be produced each day? c] How many mugs should be produced each day? d} Is the production of 1t]l mugs and 10 bowls feasible {not asking if it is optimal]. Does it fall in the feasible region? e] Is the production of 15 mugs and 15 bowls feasible {not asking if it is optimal]. Does it fall in the feasible region