A canning company produces two sizes of cans—regular and large. The cans are produced in 10,000-can lots. The cans are processed through a stamping operation and a coating operation. The company has 30 days available for stamping and 30 days for coating. A lot of regular-size cans requires 2 days to stamp and 4 days to coat, whereas a lot of large cans requires 4 days to stamp and 2 days to coat. A lot of regular-size cans earns $1000 profit, and a lot of large-size cans earns $400 profit. In order to fulfill its obligations under a shipping contract, the company must produce at least 9 lots. The company wants to determine the number of lots to produce of each size can ( and ) in order to maximize profit. I) Define the decision variables II) Build the objective function III) Build all the constraints
A canning company produces two sizes of cans—regular and large. The cans are produced in 10,000-can lots. The cans are processed through a stamping operation and a coating operation. The company has 30 days available for stamping and 30 days for coating. A lot of regular-size cans requires 2 days to stamp and 4 days to coat, whereas a lot of large cans requires 4 days to stamp and 2 days to coat. A lot of regular-size cans earns $1000 profit, and a lot of large-size cans earns $400 profit. In order to fulfill its obligations under a shipping contract, the company must produce at least 9 lots. The company wants to determine the number of lots to produce of each size can ( and ) in order to maximize profit.
I) Define the decision variables
II) Build the objective function
III) Build all the constraints
IV) Solve this model by using graphical analysis and find the optimal solution
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