Problem_set_3_2010

# Problem_set_3_2010 - 8 On a college campus of 15000...

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EC14C Problem Paper # 3 Exponential and Logarithmic Functions 1. The demand equation for a certain product is given by x e p 004 . 0 5 . 0 500 - = . Find the price p for a demand of (a) x = 1000 units and (b) x = 1500 units. 2. The population of a town increases according to the model, t e t P 0293 . 0 2500 ) ( = , where t is time in years, with t = 0 corresponding to 2000. Use the model to approximate the population in (a) 2005 (b) 2010 and (c) 2050. In Exercises 3-6, solve for x , and check your answers. 3. 1 49 1 7 + = x x 4. 7 2 = x e 5. 3 4 = x 6. 2 1 2 5 3 + + = x x 7. The demand equation for a certain product is given by Find the demand x for a price of (a) p = \$600 and (b) p = \$400.

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Unformatted text preview: 8. On a college campus of 15000 students, one student returned from vacation with a contagious flu virus. The spread of the virus through the student body is given by: where s (t) is the total number infected after t days. The college will cancel classes when 40% or more of the students are ill. i) How many are affected after 10 days? ii) After how many days will the college cancel classes? 9. The sales (S) of a new product after it has been on the market t years are given by: i) If 20000 units have been sold after one year what is k? ii) How many units will be sold after 5 years?...
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## This note was uploaded on 03/16/2011 for the course ECON 1003 taught by Professor Dr.mcdonald during the Spring '11 term at University of the West Indies at Mona.

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Problem_set_3_2010 - 8 On a college campus of 15000...

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