194k views
1 vote
Help me with answer B

Thank you

Help me with answer B Thank you-example-1

1 Answer

4 votes

Answer:

193.77 < p < 1806.23

Explanation:

You want R(p) > 2,100,000, so ...

-6p^2 +12000p > 2100000

p^2 -2000p < -350000 . . . . divide by -6

Adding (2000/2)^2 = 1000000 will "complete the square".

p^2 -2000p +1000000 < 650000 . . . . complete the square

(p -1000)^2 < 650000

-√650000 < p -1000 < √650000 . . . . take the square root

1000 -806.23 < p < 1000 +806.23 . . . .add 1000

193.77 < p < 1806.23 . . . . range of prices for desired revenue

Help me with answer B Thank you-example-1
User Scott Wood
by
4.4k points