kickingtoad
New member
- Joined
- Nov 12, 2010
- Messages
- 20
A company manufactures and sells x TVs per month. The monthly cost and demand equations are:
\(\displaystyle {C(x)=72000+60x}\)
\(\displaystyle {p(x)=200-\frac{x}{30}}\)
Max revenue is $3000 because
\(\displaystyle {R(x)=x(p(x))}\)
Max revenue is \(\displaystyle {R'(x)=0}\)
Max profit is $2100
\(\displaystyle {R'(x)=C'(x)}\)
Max profit is $75000
The price that should be charged to maximize profit is $130
If the government decides to tax the company $ 5 for each set it produces, how many sets should the company manufacture each month to maximize its profit?
\(\displaystyle {C(x)=72000+60x}\)
\(\displaystyle {p(x)=200-\frac{x}{30}}\)
Max revenue is $3000 because
\(\displaystyle {R(x)=x(p(x))}\)
Max revenue is \(\displaystyle {R'(x)=0}\)
Max profit is $2100
\(\displaystyle {R'(x)=C'(x)}\)
Max profit is $75000
The price that should be charged to maximize profit is $130
If the government decides to tax the company $ 5 for each set it produces, how many sets should the company manufacture each month to maximize its profit?
