What is the constraint for the available supply of metal per day?

If one more kg of metal is available per day, what is the change in profit? (Hint: Answer this using sensitivity analysis report)

What is the slack value for the supply of metal?

What is the optimal solution for decision variables?

What is the objective function?

If one more hour is available per day in machines, what is the change in profit? (Hint: Answer this using sensitivity analysis report)

What is the constraint for the machine time allotted per day?

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 4 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: Xq: number of Large cans X2: number of Medium cans X3: number of small cans