Food Perfect Corportation manufactures three models of the Perfect Food processo
ID: 3263340 • Letter: F
Question
Food Perfect Corportation manufactures three models of the Perfect Food processor. Each Model X processor requires 30 minutes of electrical assemply, 40 minutes of mechanial assembly, and 30 minutes of testing; each Model Y requires 20 minutes of electrical assembly, 50 minutes of mechanical assembly, and 30 minutes of testing; each Model Z requires 30 minutes of electrical assembly, and 30 minutes of mechanical assembly, and 20 minutes of testing. If 2500 minutes of electrical assembly, 3500 minutes of mechanical assembly, and 2400 minutes of testing are used in one day, how many of each model will be produced?
Explanation / Answer
Ans: Let x1 ,x2 and x3 are number of each models of X,Y,Z respectively produced.
Max. x1+x2+x3
s.t.
30x1+20x2+30x3<=2500
40x1+50x2+30x3<=3500
30x1+30x2+20x3<=2400
x1,x2,x3>=0
The optimal solution value is Z = 94.444
X1 = 0
X2 = 33.33
X3 = 61.11