Question

A company manufactures two types of structural beams, A and B.

Each Beam A requires 2 hours of cutting and 3 hours of welding.
Each Beam B requires 3 hours of cutting and 1 hour of welding.
The cutting machine is available for a maximum of 60 hours, and the welding machine for a maximum of 30 hours per week.
The profit on Beam A is $100 and on Beam B is $150.
Which inequality represents a valid constraint for the cutting hours, where x = number of Beam A, and y = number of Beam B?

Responses

2x+3y≤60
2 x plus 3 y less or equal than 60

3x+y≤30
3 x plus y less or equal than 30

2x+3y≥60
2 x plus 3 y greater or equal than 60

3x+y≥60
3 x plus y greater or equal than 60

Answer 1

2x + 3y ≤ 60

Each A uses 2 cutting hours and each B uses 3 cutting hours, and the total cutting time cannot exceed 60 hours.