Question

Calculus help
http://prntscr.com/cs84of

Answer 1

is there any way you can attach it as a file instead of using a photosharing website? those don't work for me

Answer 2

Revenue = selling price times # sold
So you originally have (for pizza)
2.5(1000)
But then for every 10 cent increase, they sell 20 fewer slices
so you get (2.5+0.1x)(1000-20x)
Simplify this

Answer 3

And tell me what you get

Answer 4

@amy0799

Answer 5

2500 +50x-2x^2
@StudyGurl14

Answer 6

yes. Okay, now graph it. The value of y at the maximum value x is your answer

Answer 7

i thought with optimization, you're suppose to have 2 equations

Answer 8

technically you should/can...but I sorta combined them

Do you want me to show you?

Answer 9

yes please

Answer 10

@StudyGurl14

Answer 11

You essentially had 2.5 + 0.1x representing the change in price and 1000 - 20x representing the change in costumers. Then you have the revenue equation which is price times amount sold. So you have to combine the two equations to fit the revenue equation, which gets you the appropriate quadratic. This is not a typical optimization question in that we NEED two equations. If they wre asking us the amount of pizzas and amount of sodas we should sell to maximum profit, that sort of question would require at least two functions. but this one doesn't

Answer 12

oh ok. so to do this without graphing it, would you be taking the derivative?

Answer 13

@StudyGurl14