Science:Math Exam Resources/Courses/MATH104/December 2015/Question 04 (c)
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Question 04 (c) |
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When a company manufactures desks, the per-desk average cost is given by the function Use this information to determine the marginal cost function. |
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? |
If you are stuck, check the hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint. |
Hint 1 |
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Recall that the marginal cost function, , is the derivative of the total cost function |
Hint 2 |
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Recall that the average cost is the total cost divided by the number of units. |
Checking a solution serves two purposes: helping you if, after having used all the hints, you still are stuck on the problem; or if you have solved the problem and would like to check your work.
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Solution |
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Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. Let denote the total cost function. Clearly, In this problem, we have
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