Calculus problem

Anonymous
timer Asked: Dec 4th, 2015
account_balance_wallet $5

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

Tutor Answer

Russell Sumling
School: UCLA

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.

flag Report DMCA
Review

Anonymous
awesome work thanks

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