02a.limit.cts

# 02a.limit.cts - MAC 2233/001-006 Business Calculus Fall...

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Unformatted text preview: MAC 2233/001-006 Business Calculus, Fall 2011 CRN: 81700–81702, 81705, 81716, 81715 Name: Two points . Professor : Stephen Suen Section: Peer Leaders : Hana Aboul-Hosn, Toni Jung, Renan Mendonca 2. Limits and continuity . Limits and continuity are mathematical concepts that have meaning in the business realm too. We give a couple of examples in this worksheet. Example . Mr. Smith opened a local eatery in Tampa in May 2009, and he then expanded his operations by opening a local branch in March 2010. The graph on the right shows the monthly revenue R from his operations, where t is the number of months since May 2009. The dotted line in the graph shows future projections. (a) Why is there a discontinuity at t = 10? Solution. This is because there is a jump in revenue from the new eatery opened in March 2010. (b) Find lim t → 10- R . What is the meaning of the answer? Solution. From the diagram, we see that the limit from the left at t = 10 is about \$14000. This gives the monthly revenue of Mr. Smith’s operations immediately before herevenue of Mr....
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02a.limit.cts - MAC 2233/001-006 Business Calculus Fall...

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