Referring to Problem, compute the increase in cost going from a production level of 0 bikes per month to 600 bikes per month. Set up a definite integral and evaluate it.
Problem
A company manufactures mountain bikes. The research department produced the marginal cost function
C'(x) = (500 -( x/3 )) 0<=x<=900
where C'(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 300 bikes per month to 900 bikes per month. Set up a definite integral and evaluate it.