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 he 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 constitutions of the associates LPP.

(A) Max $z=22x+18y$

(B) $x+y ≤20$

(C) $360x+240 y > 5760$

(D) $x, y >0$

Choose the correct answer from the options given below :

(A), (B), (D) only

The correct answer is Option (4) → (A), (B), (D) only

constraints from question

$360x+240y≤5760$

$x+y≤20$

objective function 

Max $z=22x+18y$