A manufacturer wants to maximize the profit of two products. Product I yields a profit of $ 4.50 per unit, and product II yields a profit of $6.00 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.