- #1

Richie Smash

- 293

- 15

## Homework Statement

I Type I Cost per pupil I

I Full session I $50 I

I Half session I $30 I

The above table shows the cost of lessons per month to students attending a private class.

The class operates under the following limitations:

1. The maximum number of students in the class is 40.

2. There must be a minimum of 5 Full Session students.

3. The number of half session Students must be at least half the number of full session students.

4.The minimum monthly income must be $1200

Let X represent the number of full session students, and let Y represent the number of half session students.

Hence state four inequalities, not including x ≥ 0 and y ≥0 to represent the conditions above.

## Homework Equations

## The Attempt at a Solution

So for the first one, I know that it would be x+y≤40.

The second one 5≤x

The third one 1/2x≤y

But the fourth one... I am kinda stuck here... that one is a bit more difficult

My best guess would be 5x+1/2x≥$1200...