A manufacturer can sell video cards for Php 4, 500 a piece.

The manufacturer's total cost consists of an overhead of Php 250,000 plus production costs of Php 2,500 per video card. Assume that every video card manufacturer is sold.

1. Find a mathematical model expressing the total profit of the manufacturer as a function of the number of video cards sold.

2. How many video cards should be sold to obtain a profit of P 300,000?

3. If the manufacturer experiences a loss of P 100,000 how many video cards were sold?