1.The demand for organic chewing gum is given by

q = D(x) = 30 - 5x

a) Find the elasticity of demand as a function of x

b) Find the value of x for which E(x) = 1

Tunes determines that in order to sell x units of a new car audio receiver, the price per unit, in dollars, must bep(x) = 1750 - 2xand the total cost function C(x) = 2250 + 15x

a) Find the total revenue, R(x)

b) Find the total profit , P(x)

c) How many units must be made and sold in order to maximized profit ?

d) what is the maximized profit

e) what price per unit yields this maximum profit ?