A shop stores x cartons of soap and y cartons of detergent in a storeroom. A carton of soap takes 0.5 m3 of space and a carton of detergent takes 0.8 m3. The storeroom has 40 m3 of space, of which 4 m3 must be kept free as a passage. The constraint on space is
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → \(5x + 8y \le 360\)
The space that can be used for cartons is
\(40 - 4 = 36\) m3
The cartons take \(0.5x + 0.8y\) m3, so
\(0.5x + 0.8y \le 36\)
Multiplying by 10,
\(5x + 8y \le 360\)