Prise function p(x) is given as :
0

Question

Prise function p(x) is given as :
0<x<20        p(x)=50-1x
20<=x<25    p(x)=80-2.5x
25<=x<60    p(x)=30-0.5x

x = quantity
 
find:
a) max volume of sales (p*x)
b) max quantity of sales for a)

myininaya · Answer

The max revenue may occur when the derivative of the revenue is zero.

myininaya · Answer

Revenue=price*quantity
you have already been given the function for revenue in the first question 
you just have to fill in the price and quantity part (well the quantity part has already been filled)

myininaya · Answer

Any questions so far? Please let me know...

myininaya · Answer

oops forgot to mention you also may need to look at when R' does not exist
since max can occur there also

myininaya · Answer

Or if you don't know calculus, you can draw the function....

ar43r · Answer

so
a) 600
b) 20
?

myininaya · Answer

yep it so happens the absolute max occurred at one of the values that made R' not existing
and you guessed it. it was at x=20