Find the maximum annual profit for grandfather clocks

[lsniff]

Solve the problem.

The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately R(x) = 520x - 0.03x^2 and C(x)=160x + 100,000, where x denotes the number of clocks made. What is the maximum annual profit?

 

[galactus]

Re: Find the maximum annual profit

This is pretty much laid out. You know P=R-C.

Subtract Cost from Revenue, differentiate, set to 0 and solve for x.