Question

Donut Delights, Inc. has determined that when x donuts are made daily, the profit P is given by P(x) = –0.001 x^2 + 2.9x – 1000 How many donuts should be made daily in order to maximize the company’s profit? Show work.

Answer 1

at the maximum point the slope of the profit is zero

Answer 2

help me plz

Answer 3

i gave you a hint..can you try doing it now?

Answer 4

ur losing me im still confused.

Answer 5

ok..do you know how to calculate the derivative or slope of a function?

Answer 6

yes

Answer 7

and do you know that whenever a function is minimum or aximum, the slope is equal to zero?

Answer 8

?

Answer 9

yes according to chapter 7 of my textbook

Answer 10

:)

Answer 11

so do you want to go into why that happens or can we continue frm here?

Answer 12

i prefer to the point.

Answer 13

simplify this for me plz

Answer 14

see..so you know..to maximise the profit..u need to set its derivative to zero

Answer 15

ok?

Answer 16

k

Answer 17

so set ur derivative of P(x) to zero, what value of x do u get?

Answer 18

( 0 ) ?

Answer 19

what is the derivative of P(x)

Answer 20

Oh that must be like p(x)= p(x+h) - p (x)/ h

Answer 21

dont u know the formulae?