MAC2233 Business Calculus Summer 2020 Instructor: Stephen Lappano Limits and Continu'Ey: 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. Snow opened a local eatery in Tampa in January 2018, and then he expanded his operations by opening another location in October 2018. The graph of the right shows the monthly revenue R from his operations, where t is the number of months since January 2018. The dotted line shows future projections. (a) Mathematically, why is there a discontinuity at t = 10? Is this discontinuity removable? Rev-mu: II. in Illounmls of doll-r: (b) Practically (i.e. considering this specic example) why is there a discontinuity at t = 10? , (c) What is the value tlii'lij). What is the meaning of the value in this context? (d) What is the value t1i{13+ (R). What is the meaning of the value in this context? (e) How much additional revenue does the new location add to Mr. Snows revenue immediately? (1') Would you expect to see the same kind of behavior in the graph if we were considering Mr. Snows PROFIT instead of his revenue