A cat breeder has the following amounts of cat food: 100 units of tuna, 90 units of liver, and 60 units of chicken. To raise a Siamese cat, the breeder must use 2 units of tuna, 1 of liver, and 3 of chicken, while raising a Persian cat requires 2,2 and 1 units respectively per day. If a Siamese cat sells for $10, and a Persian cat sells for $12, how many of each should be raised in order to obtain maximum gross income? Set up the initial simplex tableau Set up the initial simplex tableau for the problem. Let x1 be the number of Siamese cats, and let x2 be the number of Persian cats. Begin by filling in missing terms for constraints. 2x1+2x2100 is the constraint on tuna consumption. x1+2x290 is the constraint on liver consumption. 3x1+x260 is the constraint on chicken consumption. After adding slack variables and the objective function, fill in the missing elements in the simplex tableau. (Do not use a column for the Z-variable.) x1213x2221s11000s20100s3001010090600