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 both stamping and coating. A lot of regular-size cans require 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 earn $800 profit, and a lot of large-size cans earn $900 profit. In order to fulfill its obligations under a shipping contract, the company must produce at least nine lots. The company wants to determine the number of lots to produce of each size can (and) in order to maximize profit.
2. 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 both stamping and
coating. A lot of regular-size cans require 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 earn $800 profit, and a lot of large-size cans earn $900 profit. In order to fulfill its
obligations under a shipping contract, the company must produce at least nine lots.
The company wants to determine the number of lots to produce of each size can (and)
in order to maximize profit.
8. In Problem 2, how much flour and sugar will be left unused if the optimal numbers of
cakes and Danish are baked?
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