Ye Olde Smokehouse Ltd, prepares three Christmas gift packages containing sausages and cheeses. The Tasters Delight gift packages will contain 3 sausages and 6 cheeses; the Succulent Delight will contain 5 sausages, and 4 cheeses; and the Gourmet Delight will contain 6 sausages and 5 cheeses. The firm has 2500 sausages and 3000 cheeses available for packaging, and they believe that all gift packages can be sold (based on previous demand). Profits are estimated at $2.50 for the Tasters Delight gift package, $3.50 for the Succulent Delight gift package, and $4.00 for the Gourmet Delight gift package. Construct the prime and dual for this problem.