A manufacturing plant has 200 labor hours and 150 machine hours available per day. Product X requires 2 labor hours and 1 machine hour per unit, generating $15 profit. Product Y requires 1 labor hour and 2 machine hours per unit, generating $20 profit. If the plant must produce exactly 30 units of Product X, what is the maximum number of Product Y units that can be produced to maximize daily profit?
✓ Correct Answer: Option C
Producing 30 units of Product X uses (30*2=60) labor hours and (30*1=30) machine hours. Remaining: 140 labor hours (200-60) and 120 machine hours (150-30). Product Y needs 1 labor hour and 2 machine hours. Labor allows 140 units (140/1), machine allows 60 units (120/2). Max is limited by machine hours: 60 units of Y.