Finding how many more units a producer will supply.

Question

A supply function for a certain product is given by S(p)=0.08p^3+4p^2+11p+8 where S(p) is the number of items produced when the price is p dollars. Use S’(p) to estimate how many more units a producer will supply when the price changes from $13.00 per unit to $13.50 per unit.

Answer 1

????????????? "number av tiems" ???? yu must meen how much/many

number=y=0.08x^3 +4x^2 +11x+8

dy/dx=0.24x^2+8x +11....rate

if x go from 13 tu 13.5, deltax=dx=0.5

dy=0.24*(0.5)^2 +8*0.5+11

=0.24* 0.25+4+11

15.06

me assume yu shood round tu 15

Comments

Thanks for this, but this is not a correct answer. I was given 4 answers to choose from and this one is not one of them. I realize it is a rate of change in revenue and I am not very good with this stuff. I do appreciate your help.