Acanning company produces two sizes of cans—regular (x1) and large (x2). 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 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 $800 profit, and a lot of large-size cans earns $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 in order to maximize profit.