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Atoy company manufactures two types of doll; a basic version-doll A and a deluxe version doll B. Each doll of type B takes twice as long as to produce as one of type A, and the company would have time to make a maximum of 2000 per day if it produces only the basic version. The supply of plastic is sufficient to produce 1500 dolls per day (both A and B combined). The deluxe version requires a fancy dress of which there are only 600 per day available. If company makes profit of Rs.3 and Rs.5 per doll, respectively, on doll A and B; how many each should be produced per day in order to maximize profit.

Atoy company manufactures two types of doll; a basic version-doll A and a deluxe version doll B.
Each doll of type B takes twice as long as to produce as one of type A, and the company would
have time to make a maximum of 2000 per day if it produces only the basic version. The supply
of plastic is sufficient to produce 1500 dolls per day (both A and B combined). The deluxe version
requires a fancy dress of which there are only 600 per day available. If company makes profit of
Rs.3 and Rs.5 per doll, respectively, on doll A and B; how many each should be produced per day in
order to maximize profit.

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
8 years ago
Hello student,
maximize z =3x1+5x2
Constraints:
x1+2x2<=2000
X1+x2<=1500
X2<=600
X1,x2>=0
We will get x1=1000,x2=500,max z= 5500
Thanks and Regards
Shaik Aasif
askIITians faculty

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