Solve by Linear Programming.

(Be sure to show the graph of the feasible region, the appropriate vertices, optimal value,

AND SHOW ALL WORK!.)

LP 3. A manufacturer wants to maximize the profit of two products. Product X yields a profit of $ 1.90 per unit, and product Y yields a profit of $3.00 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 Y is no more than half the demand for product X.
• The production level of product X is less than or equal to 600 units plus three times the production level of product Y.

Show all steps. Answer the question fully!