1. A beverage cans manufacturer makes 3 types of soft drink cans needed for the beverage producers to fill soft drinks of three different volumes. The maximum availability of the machines' time allotted per day is 90 hours and the supply of metal is limited to 120 kg per day. The following table provides the details of the input needed to manufacture one batch of 100 cans. Cans Metal (kg)/batch Machines' Time (hr)/batch Large Medium Small Maximum 9 6 5 120 4.4 4.2 4 90 Profit/batch $50 $45 $42 2. Let L = number of Large cans produced 3. M = number of Medium cans produced 4. S = number of Small cans produced 5. Formulate and solve for the recommended production quantities for all the three different types cans by maximizing the profit. Use Excel solver to find your answers. Report the optimal value of L 6. 1. QUESTION 2 Based on question 1, use Excel Solver to find the optimal solution and report the value of M. 1. QUESTION 3 Based on question 1, use Excel Solver to find the optimal solution and report the value of S 1. QUESTION 4 Based on question 1, use Excel Solver to find the optimal solution and report the optimal value of the objective function