A beverage cans manufacture makes 3 types of soft drink cans needed for the beve

Question

A beverage cans manufacture makes 3 types of soft drink cans needed for the beverage producers to fill soil 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 por day The following table provides the details of the input needed to manufacture one batch of 100 cans Formulate and solve tor 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 Based on question 1. use Excel Solver to find the optimal solution and report the value of M Based on question 1. use Excel Sober to find the optimal solution and report the value of S Based on question 1. use Excel Sober to find the optimal solution and report the optimal value of the objective function

Explanation / Answer

Decision Variables: l, m,and s as the number of batches produced in a day

Objective function: Maximize (l*50+m*45+s*42)

Constraints:

l,m,s >= 0 (non negativity)

9* l+ 6*m + 5* s <=120 (metal constraint)

4.4 * l + 4.2 * m + 4 * s <= 90 (Machine hours constraint)

L = l * 100 (100 cans per batch)

M = m*100

S = s*100

Solving the problem in Excel:

Cans Large Medium Small Total no of batches 0 10 12 Maximum metal (kg/batch) 9 6 5 120 <= 120 M/c time (hr/batch) 4.4 4.2 4 90 <= 90 Profit/batch $ 50 $ 45 $ 42 $ 954 L 0 (no of batches of Large cans*100) M 1000 (no of batches of Medium cans*100) S 1200 (no of batches of Small cans*100) Profit $954

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