11:17 AM Wed Apr 1 * 41%O Business ana Econ omics 67. Optimizing revenue. A hotel owner notices that she rents y rooms per night when the price is x dollars per room, with y = 200 – 2x. a. Find R(x), the total revenue generated per night when the price of each room is x dollars. b. Find the relative extremum of R, and interpret this result. 68. Optimizing revenue. A software developer notices that the number y of downloads of an app (in thousands) is related to the price x (in dollars) of the app by y = 2.6 – 0.4x . a. Find R(x), the total revenue generated when the price of the app is x dollars. b. Find the relative extremum of R, and interpret this result. 69. Optimizing revenue. An artist sells y sculptures when the price of each sculpture is x dollars, where y = 500 - 5х. a. Find R(x), the total revenue generated when the price of each sculpture is x dollars. b. Find the relative extremum of R, and interpret this result. 70. Optimizing yield. Each apple tree yields y apples when there are x trees in an orchard, where y = 300 – 6x . a. Find R(x), the total yield generated when there are x apple trees in the orchard. b. Find the relative extremum of R, and interpret this result. Life and Physical Sciences 71. Solar eclipse. On July 2, 2019, a total solar eclipse was observable over the South Pacific Ocean and parts of South America. (Source: eclipse.gsfc.nasa.gov.) The path of the eclipse is modeled by f(t) = 0.00259t² – 0.457t + 36.237, where f(t) is the latitude in degrees south of the equator at t minutes after the start of the total eclipse. What is the latitude closest to the equator, in degrees, at which the total eclipse was visible? 278

18. Why does Employment Insurance cause unemployment? (A) It increases the price of labour by mandating a minimum. (B) It incentivizes the unemployed to remain so. (C) It reduces the demand for labour. (D) It releases currency into the economy.

19. Canadians' New Focus on Thrift Canadian shoppers' shift to greater thriftiness has been unkind to retailers like Bikini Village and Le Chateau, which recently posted losses, but it may be a boon for budget stores like Dollarama Inc., which recently generated double-digit sales. Source: The Financial Post, July 3, 2011 Draw a graph to show the effect of increased thriftiness on sales at (i) Bikini Village and (ii0 Dollarama. Use the following information to work Problems 20 and 21. Boom Time For "Gently Used" Clothes Most retailers are blaming the economy for their poor sales, but one store chain that sells used name-brand children's clothes, toys, and furniture is boldly declaring that an economic downturn can actually be a boon for its business. Last year, the company took in $20 million in sales, up 5% from the previous year. Sales are already up 5% this year. Sources: CNN, April 17, 2008 20. a. According to news clip, is used clothing a…

(Please refer to the attached image.) 1. What is the message in this cartoon? 2. Does the cartoon show a challenge or an opportunity? Why do you say so?