A lapel pin manufacturer wants to maximize the profit for two types of lapel pins.A box of American flag lapel pins yields a profit of $2.50 per box, and a box of peace sign lapel pins yields a profit of $2.00 per box. Market tests and available resources have indicated the following constraints:

• The combined production level should not exceed 1200 boxes per month.
• The demand for a box of peace sign lapel pins is no more than half the demand for a box of American flag lapel pins.
• The production level for American flag lapel pins should be less than or equal to 600 boxes plus three times the production level for peace sign lapel pins.

Find the number of boxes of each type of lapel pin to maximize the profit.

Write answer in a complete sentence.

Use algebra and graphical linear programming techniques to solve the problem.

Algebra must be used to find corner