Problema Solution
Given the following revenue and cost functions, find the x-value that makes profit a maximum (Recall that profit equals revenue minus cost.) R(x)=58-2x^2; C(x)=21x+109
Answer provided by our tutors
Profit = revenue - cost
so ,
P(x)= R(x)-C(x)
where P(x) is profit function
hence P(x)= 58-2x2-21x-109
=-2x2-21x-51
at maximum profit , dP(X)/dx = 0
which gives -2x2-21x-51=0
i.e x=21/4=5.25