The market research department of the Better Baby Buggy Co p

The market research department of the Better Baby Buggy Co. predicts that the demand equation for its buggies is given by

q = 2.5p + 700

where q is the number of buggies it can sell in a month if the price is $p per buggy. At what price should it sell the buggies to get the largest revenue? HINT [See Example 3.]
p = $ __________

What is the largest monthly revenue?
$ __________

Solution

Revenue = q p

R(p)=(-2.5p+700)p =-2.5p²+700p

Maximum revenue is when p is maximum

p=-b/2a=-700/2(-2.5)=700/5=140

R(140)= -2.5(140)²+700(140)= 49000