Pretty sure I got the function R(x) = (2000(2)^x)(28-8x) right but not sure about going on with optimization.

Question

A video game normally costs $28 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 $8 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. The revenue function should involve an exponential function.

-Use optimization principles to set the exact price of the game so as to maximize revenue under this model

Answer 1

Yes, the function is correct. Perhaps you can start with this

R(x) = 125(2⁴)(2^x)(28 - 8x)

R(x) = 125(2^x+4)(28 - 8x)