### Question Description

i need help with this problem. please include a step by step explanation on how u got the answer

http://imgur.com/0S6W6Vh

## Final Answer

Thank you for the opportunity to help you with your question!

The marginal cost is equal to C'(x), and fixed costs are being disregarded in this problem. So we know that the marginal cost is equal to the function that is given. The value for x is the number of pounds (lbs) of coffee being roasted. With this in mind, HOWEVER many pounds of coffee being roasted will automatically become the value for x. In the function you can see where it says x is less than or equal to 200 (lbs of coffee)...disregard this note because the word problem literally tells us what the value for x is. X being less than or equal to 200 lbs of coffee is an approximation. This problem doesn't have an approximate value because it literally says 150 lbs of coffee. So, if x equals lbs of coffee, input x (which is 150 lbs of coffee) into the function. The function should now say C'(150) = -0.027(150) + 6.25. Do the algebra from there and your answer should be 2.2. Keep in mind that this means $2.20, so when it says round to the nearest cent, you do not have to round this answer. Hope I helped!

Please let me know if you need any clarification. I'm always happy to answer your questions.Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors