A video game normally costs $25 on an online distribution platform, but is set to go on sale. At its normal price it sells 2000 copies per month. It is estimated that for every $7 the price is reduced, the number of copies sold will double. -Write a function describing the revenue received depending on some variable x that has to do with the sale. It should involve an exponential function. -Use optimization principles to set the exact price of the game so as to maximize revenue under this model

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A video game normally costs $25 on an online distribution platform, but is set to go on sale. At its normal price
it sells 2000 copies per month. It is estimated that for every $7 the price is reduced, the number of copies sold will
double.
-Write a function describing the revenue received depending on some variable x that has to do with the sale. It
should involve an exponential function.
-Use optimization principles to set the exact price of the game so as to maximize revenue under this model

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