Question

Can't figure out a & c
R(x)=9.5x-0.04x^2
C(x)=1.25x+250
a)How many boxes of candy must be sold to maximize revenue? What is max revenue?
b) Profit is P(x)=R(x)-C(x). What is the profit function?
My answer: -0.04x^2+8.25x-250

c)How many boxes must be sold to maximize profit? What is the max profit?

Answer 1

what level of math?

Answer 2

with calc this is easy. max revenue= R'(x)=0
max profit= P'(x)=0

Answer 3

a) 119 units
$564

Answer 4

could you show me the work for a
I have no examples on my text for this problem, which is why it's confusing

Answer 5

are you in calc?

Answer 6

college algebra it's not calc

Answer 7

like i said calc makes this problem super easy.

Answer 8

ok r(x)=0 at what two amounts?

Answer 9

i think i have to use the quadratic function... Awww wish i would have the easy way to solve it!

Answer 10

once you find that, it will be exactly half way inbetween them for your max.

Answer 11

use the quad formula to get the zeros

Answer 12

R(x)=0 at x=0 and x=237.5

Answer 13

so the max is going to be exactly halfway between them.

Answer 14

same process for the P(x), find the zeros, find the midpoint.

Answer 15

thank u

Answer 16

welcome