Question

Business Calc Question: A certain D. Kong is producing and selling bananas. Let p be the price of a bushel of bananas and let x be bushels of bananas produced. Currently, Mr. Kong has 80 bushels of bananas and the price of a bushel of bananas is $15 per bushel and is decreasing by $0.60 per week.
What rate of change in production with respect to time is required to keep Mr. Kong's revenue constant?

Answer 1

I could be wrong because I didn’t take business calculus, but i guess it’s the same as regular calculus.

So I assumed that the revenue is equal to the price times the amount produced: R=px

Now differentiating, I get: dR/dt =pdx/dt +xdp/dx. I used the product rule

But Mr. Kong wants his revenue constant ? So I assume that dR/dt=0

Plug in values and solve dx/dt. Please message me back. I want to see if I got it write