Question

A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle

can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points
may not apply to the scenario)?

Answer 1

Answer: D

Explanation:

Answer 2

The inequality representing the time taken by the entire cycle is:

`4x+y\leq 3`

Explanation:

The time taken to complete one cycle of a manufacturing machine is no longer than 3 minutes.

It is provided that the manufacturing machine has two processes.

One of them is repeated 4 times and the second only once.

Assume that the variable x represents the time taken to complete the first process once.

Then the time taken to complete the first process 4 times would be, 4x.

Also assume that the variable y represents the time taken to complete the second process.

Then the inequality representing the time taken by the entire cycle is:

`4x+y\leq 3`

Consider the graph below representing the above equation.