A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 60x − 0.2x2, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum?

Question

anonymous · Answer

i don't know, but would you differentiate once to make it 60 ?

goformit100 · Answer

OK

anonymous · Answer

Im erally not sure what to do

anonymous · Answer

ya, won't you just differentiate?

anonymous · Answer

I am not sure,
but I guess this might be correct,

R(x) = 60x - 0.2x^2
Differentiating w.r.t x;

R` = 60 - 0.4x
equate to zero,

60 - 0.4x = 0

x= 150

therefore max. revenue will be,

8940. (substituted value of x in first eq.)

anonymous · Answer

the rev was wrong but the units were right

anonymous · Answer

ya, revenue will be 4500 . my bad

anonymous · Answer

lol yeah that was it. thank you so much