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2) Show that the cost function for a firm with the constant returns Cobb-Douglas production function 

y=Az1αz21−α


 is given by 

C(p,y)=yp1αp21−αB


 , where B is a function of A and 

α


 only. Derive the conditional input demands


. How many grams of (g) can be stored in a 10.0 L container at 1000 kPa and 30C?


. How many grams of (g) can be stored in a 10.0 L container at 1000 kPa and 30C?



. How many grams of (g) can be stored in a 10.0 L container at 1000 kPa and 30C?



A ramdom sample of 18 bottles of 500-ml C-Softdrink had a mean content of 480 ml with a standard deviation of 4 ml, while sample of 14 bottles of 500-ml P-Softdrink had a mean content of 490 ml with standard deviation of 5 ml. Using 0.01 level of significance, can you say that C-Softdrink has lesser mean content than P-Softdrink

How are you getting the prices of the bill?


Two capacitors with 2.0 F and 3.0 F capacitance, respectively, are connected in series and subjected to a total potential difference of 100 V.



Find the


(a) total capacitance,



(b) charge stored in each capacitor, and



(c) potential difference across each capacitor.

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.


Aunt Nellie is pricing cakes for a baby shower she is throwing. She wants one large cake shaped like a duckling and also some cupcakes in pastel colors. Lowell Bakery charges $4 for each cupcake, plus $38 for the large cake. Gabby's Sweet Shoppe charges $60 for the large cake and $2 for each cupcake. If Aunt Nellie orders a certain number of cupcakes, the cost will be the same at either bakery. What would the total cost be? How many cupcakes would that include?


You have five 10.0 F capacitors. Show all possible connections of all five capacitors to produce an equivalent capacitance of .5 F




Three years later, the job market for the Class of 2003 was rather different. U.S. economic growth had slowed to a crawl, and then to a halt. Companies that had stocked up on recent college grads in the tighter labour markets of 1998-2000 found themselves with more than they knew what to do with in 2002 and 2003. They were not eager to hire more. Bonuses and other “perks” disappeared; job offers became scarcer. With the unemployment rate around 6% in May and June of 2003, the job market was far from the worst ever. But it was nothing like the glory days of 2000.


(v) Identify and explain two (2) fiscal policies and two (2) monetary policies that the US government may have used to correct this situation. (6 marks) 


(vi) Use a diagram to illustrate the correction measures. (2 marks)



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