Question 1 5 points Save Answer 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. Large Medium Small Maximum available resources 120 9 6 5 Metal(kg)/batch Machines Time (hr)/batch Profit/batch 4.4 4.2 90 $50 $45 $42 Develop a linear programming model that determines the production quantities for all the three different types of cans to maximize the profit. Denote the decision variables as follow: X1: number of Large cans X2: number of Medium cans X3: number of small cans If one more hour is available per day in machines, what is the change in profit? (Hint: Answer this using sensitivity analysis report) O a. 1.2 O 6.9 Oco Od. 6