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anonymous
 5 years ago
can anyone help me with this? Heres the question: The student council is selling cases of gift cards as a fundraiser. The revenue, r(x), in dollars, can be modelled by the function R(x)= 25x(squared) +100x +1500, where x is the number of cases of gift cards sold. How many cases must be sold to maximize the revenue?
anonymous
 5 years ago
can anyone help me with this? Heres the question: The student council is selling cases of gift cards as a fundraiser. The revenue, r(x), in dollars, can be modelled by the function R(x)= 25x(squared) +100x +1500, where x is the number of cases of gift cards sold. How many cases must be sold to maximize the revenue?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you doing this for calculus right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0do you know what a "derivative" is yet?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Its alot quicker with the "derivative"; but we can do it without... you up for it?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0have you gone over the quadratic equation or "completeing the square" yet?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes, but i do not remember how to complete the square unfortunately

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0thats ok, completing the square is PROOF that the quadratic formula works...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the only thing we are concerned about with the quadratic formula is what we get for b/(2a) cause that gives us the x value for where this equation bends over itself. It looks like aupside down bowl. Ok?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0okay i understand that

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0a = first = 25; b = middle = 100 Do you agree with this?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0b/2a: (100)/(2(25)) = 50/25 = 2/1 = 2. Am I right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0wait, where did u get the 2?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Im old now, so I could be forgetting something :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0which one? the b/2a..that 2?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0how does the quadratic formula go again?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Its got two parts to it; or rather, we can seperate it into 2 parts like this: b/2a + sqrt(b^24ac)/2a

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.01/2 means 1 divided by 2 .... which means onehalf..... but for now, just see it as a fraction bar

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0alright, i think i understand now. so just substitute the numbers into the quadratic formula and i shall get 2? that is the answer in the back of the book

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0b (+) sqrt(b^24ac)   2a 2a Does this help?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Yes, but the only thing we care about for finding the maximum amount is what happens at x = b/2a

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so basically just use x= b divided by 2a and i will get the answer of 2?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Lets find out, cause I could have messed it up in my head :) 100 divided by 2(25) = what? 100 divided by 50 = 2 right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Now that we now the value of "x" that will give us the most stuff, lets plug it into the original equation to figure out HOW MUCH stuff we get..... you agree?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0R(x)= 25(2)^2 +100(2) +1500 R(x)= 25(4) + 200 + 1500 R(x)= 100 + 200 + 1500 R(x) = 100 +1500 R(x) = 1600 Do you agree?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the derivative of: R(x)= 25x^2 +100x +1500 is 50x +100. And when the derivative = 0 we get the max amount: when x=100/50 = 2 the derivative = 0. Do you see that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thats kind of confusing... but you helped me find out how to get the right answer it really helped thanks!

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lol..... youre welcome :)
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