A manufacturer of athletic footwear finds that the sales of a popular brand of running shoes is a function of the selling price (in dollars) for a pair of shoes. Suppose that pairs of shoes and pairs of shoes per dollar. The revenue that the manufacturer will receive for selling pairs of shoes at dollars per pair is Find What impact would a small increase in price have on the manufacturer's revenue

Hello your question is poorly written attached below is the complete question

Answer :

a) R'( 120 ) = 3000

b)  Increase the manufacturers revenue

Step-by-step explanation:

Given data:

F (120) = 9000 pairs

F' (120) = -50 pairs of shoes

R(p) = P * F(p)

a) find R' ( p )

R'(p) = P * F'(p)  + F(p) * 1

∴ R' ( 120 ) =  120 * ( -50 ) +  9000 * 1

                  = 3000

b) A small Increase in price by $3000 will Increase the manufacturers revenue

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.