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 :
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → (A), (B), (D) only
constraints from question
$360x+240y≤5760$
$x+y≤20$
objective function
Max $z=22x+18y$