Pre-cal

1.)Suppose a computer manufacturer has the total cost function C(x) = 85x + 3300 and R(x) =385x what is the profit function, what is the profit of 351 items sold?

2.) A manufacture sells a product for $10 per unit, the manufacture variable cost are 2.50 per unit and total cost of 100 units is $1450. How many units must manufacture produce each month to break even b) find the profit. 

3.) The qty demanded of a certain model of DVD player is 8000 units when the unit price is $260. At the unit price of $200, the qty demanded increase to 10,000 units. The manufacturer will not market any players if the price is $100 or lower. However, for each $50 increase in the unit price above $100, the manufacturer will market an additional 1000 units.Both demand and supply equations are known to be linear. Find the demand equation, find the supply equation, & find the equilibrium qty and price.

4.) If the line passing through the points (a,1) and (5,8) is parallel to the line passing through the point (4,9) and (a+1, 1) what is the value of a?