Homework SourseA company manufactures mountain bikes The research departmen
A company manufactures mountain bikes. The research department produced the marginal cost function C\'(x)=700-(x/3) where 0 is less than or equal to x which is less than or equal to 900. 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.
Please provide step by step instructions!
The increase in cost is $________
Please provide step by step instructions!
The increase in cost is $________
Solution
C\'(x)=700-(x/3) integrate C(x)=700x -(x^2)/6 +k now cost of 300 bikes C(300)=210000-15000 + k =195000 +k now cost of 900 bikes C(900)=630000 -135000 +k=495000+k thus increase in cost C(900) -C(300)=495000+k-195000 -k=300000 $
