A manufacturer wants to maximize the profit of two products. Product I yields a profit of $ 1.50 per unit, and product II yields a profit of $2.00 per unit. Market tests and available resources have indicated the following constraints:
- The combined production level should not exceed 1200 units per month.
- The demand for product II is no more than half the demand for product I.
- The production level of product I is less than or equal to 600 units plus three times the production level of product II.