Question

Homework: 7.5 Maximization Applications Save core: 0 of 1 pt 1 of 4 (1 complete) HW Score: 0%, 0 of 4 pts -.5.1-BE Next Question Question Help 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 3 units of tuna, 1 of liver, and 2 of chicken, while raising a Persian cat requires 2, 1 and 3 units respectively per day. If a Siamese cat sells for $14, and a Persian cat sells for $15, 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 x, be the number of Siamese cats, and let X, be the number of Persian cats. Begin by filling in missing terms for constraints. 3x4 + 2x, sis the constraint on tuna consumption X2 + x2 sis the constraint on liver consumption. 2xy + 3x, sis the constraint on chicken consumption.

Answer 1

З 12 < loo Чt X 2 до +3, Сбо 4 Да Y 144, 45и

Simplex Table with Slack variables:

After introducing slack variables Max Z = 14X1 + 15X2 + 051 +0S2 + 0 S3 subject to 3X1 + 2X2 + Si = 100 X1 + X2 + S2 = 90 2x1 + 3x2 + S3 = 60 and X1, X2, 51, 52, 5320 Iteration-1 C 14 in 0 0 0 MinRatio B B XB X1 X2 si S, Sz Хв X2 100 Si 0 100 3 2 1 0 0 = - 50 2 90 S2 o 0 90 1 1 0 1 - 90 1 S3 0 60 2. 0 0 60 3 = 20 Z= 0 0 0 0 0 2; Z;-C - 14 -15 0 0 0