Convert the following linear program into a simplex model form:

Maximize 8X + 10Y
Subject to: 5X + 3Y ? 34
2X + 3Y = 22
X ? 3
X, Y ? 0

Maximize 8X + 10Y + 0S1 + 0S3 − MA2 − MA3

Subject to: 5X + 3Y + 1S1 + 0S3 + 0A2 + 0A3 = 34
2X + 3Y + 0S1 + 0S3 + 1A2 + 0A3 = 22
1X + 0Y + 0S1 - 1S3 + 0A2 + 1A3 = 3
All variables ≥ 0