A dealer wishes to purchase a number of fans and sewing machines. He has only ₹ 5,760.00 to invest and has space for at most 20 items. A fan costs ₹ 3
Question
A dealer wishes to purchase a number of fans and sewing machines. He has only ₹ 5,760.00 to invest and has space for at most 20 items. A fan costs ₹ 360.00 and a sewing machine ₹ 240.00. His expectation is that he can sell a fan at a profit of ₹ 22.00 and a sewing machine at a profit of ₹ 18.00. Assuming that he can sell all the items that he can buy, how should be invest his money in order to maximise the profit? If x denotes the number of fans and y the number of sewing machines. Then which of the following are correct constituents of the associated LPP.
A.
Max z=22x+18y
B.
x+y≤20
C.
360x+240y≥5760
D.
x, y≥0
Choose the correct answer from the options given below:
(a)(A) only
(b) (B) only
(c) (C), (D) only
(d) (A), (B), (D) only