A toy company manufactures two types of doll; a basic version doll; a basic version doll A and a deluxe version doll B. Each doll of type B takes twice as long to produce as one of type. A and the company would have time to ,make a maximum of 2, 000 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 the company makes profit Rs. 3 and Rs. 5 per doll respectively o doll A and doll B; how many of each should be produced per day in order to maximize profit?

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`