A dairy makes x kg of paneer and y kg of curd a day. A kg of paneer needs 6 litres of milk and a kg of curd needs 2 litres of milk. The dairy receives at most 300 litres of milk a day, and it must make at least 20 kg of curd a day. Besides \(x \ge 0\) and \(y \ge 0\), the constraints are
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(6x + 2y \le 300\), \(y \ge 20\)
x kg of paneer uses 6x litres of milk and y kg of curd uses 2y litres. “At most 300 litres” gives
\(6x + 2y \le 300\)
“At least 20 kg of curd” gives
\(y \ge 20\)
“At most” is written with \(\le\) and “at least” with \(\ge\).