To meet the demands of airline companies for use in catering services, a canning company produces two sizes of cans-small and regular. (The cans are produced in 10,000 can lots). The cans are processed through two operatios: a stamping and a coating. The company has 30 days available for both stamping and coating. Smallar-size cans requires 2 days to stamp and 4 days to coat, whereas aregular-size cans requires 4 days to stamp and 3 days to coat. Smaller-size cans earns $750 profit and regular-size cans earns $820 profit. In order to fulfill its obligations under a shipping contract, the company must produce at least nine lots. The company wants to determine the number of lots to produce of each size can in order to maximize profit. Based on the given information answer the following questions a) Solve this LP model graphically: Find feasible solution area and by determining corner points, compute an objective function value for each and then define the optimal solution value. Interpret your result. b) Find and interpret the amount of slack variables only at the optimal point