1.Find the break-even point for the firm whose cost function C and revenue function R are given. C(x) = 180x + 12,000; R(x) = 270x (x, y) =

2.A division of a company produces income tax apps for smartphones. Each income tax app sells for $9. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each income tax app is $4. (a) Find the break-even point for the division. (x, y) =

3.The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $170; the quantity demanded each month is 500 when the unit price is $160. The suppliers will market 750espresso makers if the unit price is $90. At a unit price of $110, they are willing to market 2250 units. Both the demand and supply equations are known to be linear. (a) Find the demand equation. p =

(b) Find the supply equation. p=