Ana L.

# WHOEVER HELPS I LOVE YOU U ARE MY SAVIOR MY HERO im the dumbest person alive so i need help

A computer software company models the profit on its latest video game using the relation

P = –2x^2 + 16x – 30, where x is the number of games produced in hundred thousands and P is the profit in millions of dollars.

a) What are the break-even points for the company? Show your steps.

b) What is the maximum profit that the company can earn? Explain

c) How many games must the company produce to earn the maximum profit? Explain

## 3 Answers By Expert Tutors

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Ana L.

thank you!! i thought i was gonna fail this assignment but u came through thank youuuuu(:
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Stephen K.

tutor
you are welcome. Let me know if you need additional help
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Ana L.

Thank you!!! If its not too much trouble, I have been stuck on this question for a while: "Two parables are defined by y = 14x - x^2 and y = 2x^2 - 20x. What is the distance between their maximum and minimum values?" I know I have to rearrange the function and find out if I have to find the min/max value, but I'm lost from there. Sorry if I'm being annoying
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Stephen K.

tutor
Y=-x^2+14x is a downward facing parabola; it will have a maximum value at its vertex so have to find the vertex. The x coordinate of the vertex is at -b/2a= -14/-2=7 . When x=7 y = -(7^2)+14(7)= 49 So vertex is at the point (7,49) Y=2x^2-20x is an upward opening parabola so it will have a minimum value at its vertex. The x coordinate is at -b/2a= 20/4=5. When x=5 y= 2(5^2) -20(5)=-50 So vertex is at (5,-50) Now all you need to do is find the distance (d) between these 2 points which is d^2 = 2^2 +(99^2) d=99.02
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Ana L.

THANK YOU SO MUCH YOU DONT UNDERSTAND HOW MUCH I NEEDED THIS SERIOUSLY!! (: YOURE INCREDIBLE
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Ana L.

thank you!!!!!!
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Ana L.

thank you so much im so grateful!!! (:
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