Problema Solution

when priced at 30.00, a toy has monthly sales of 4000 units. For each 1.00 increase in price, sells will decrease by 100 units. Find the price that will maximize total revenue.

Answer provided by our tutors

Price: x

Sales: 4000-100(x-30) = 7000-100x

So

R = P*S = x(7000-100x)

R'= 7000-200x

When x = 35, R'=0, Revenue is max

So

the price that will maximize total revenue is 35.00