A toy 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.
Answers
To Maximize profit , Doll A = 1000 , Doll B = 500 , Profit = 5500
Step-by-step explanation:
Time for Making doll A = T
Time for Making doll B = 2T
=> AT + 2BT ≤ 2000
A + B ≤ 1500
B ≤ 600
Profit = 3A + 5 B
A B Profit
800 600 5400
900 550 5450
1000 500 5500
1050 450 5400
1100 400 5300
To Maximize profit
Doll A = 1000
Doll B = 500
Profit = 5500
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Answer:
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Step-by-step explanation:
given that total profit=3x+5y
x+2y≤2000 eqn(1)
x+y≤1500 eqn(2)
y≤600
also given that, x≥0,y≥0