The signal output from a certain process in an industry is described by the following equation

h (t) = 5 cos 2π1000 t + 7 cos 2π 2000 t + 2 cos 2π 3000 t.

If the above signal h(t) is sampled at the rate of 5000 samples/second, comment on the output obtained from the reconstruction process.

Estimating Demand for Super Detergents:

Here is the story: Branded Products, LLC., based in Sharjah, UAE, is a leading producer and marketer of household laundry detergent and bleach products. About a year ago, Branded Products rolled out its new Super Detergent in 15 regional markets following its success in test markets. Branded Products, LLC. hired a marketing consulting firm to perform a test marketing of product called Super Detergent. The marketing consultants collected data on average household income (M), the population of the marketing area (N), and the price of a rival brand of Detergents (PR). At the end of the month, total demand of Super Detergent (Q) were tabulated to provide the following data from which the consultants estimated an empirical demand function for the product.

Table 1

Using the marketing data from the 15 test markets shown above, estimate the parameters of the linear empirical demand function:

Q=a+bP+cM+dPR+eN

If any of the parameter estimates are not significant at the 5% level of significance, drop the associated explanatory variable from the model and estimate the demand function again.

1. Using the data in Table 1, specify a linear functional form for the demand for super detergent, and run a regression to estimate the demand for super detergent.

2. Using Excel Data Analysis, estimate the parameters of the empirical demand function specified in part a. Write your estimated demand equation.  

If price of the super detergent is AED3.50 per liter, average household income is AED 45, 000, the price of rival brand detergents is AED 3.00 per liter and the population (N) is 75, 000.

3. Calculate the estimated elasticity of Demand for super detergent. Is demand elastic or inelastic? Explain.

4. What is the estimated income elasticity of demand for super detergent? Is Super Detergent a normal or inferior good? Explain.

5. By using the appropriate tests, evaluate the significance of the regression as a whole and the significance of the individual parameters at 5 percent level of significance.

6. Interpret the R² value.

1. In the 19th century, most books quoted "blood heat" as 98 F, until a study published the mean (but not the variance) of a large sample as 36.88 °C. Subsequently, that mean was widely quoted as "37 C”. This translates to 98.6 F.    (Wikipedia)

In a recent study of 148 healthy men and women ages 18-40 years, participating in the Shigella Vaccine Trials at the University of Maryland Center for Vaccine Development, had oral temperatures measured 1-4 times daily for three consecutive days using an electronic digital thermometer. The mean observed oral temperature was 36.8 C which translates to 98.2 F, with a standard deviation of 0.62 F.   (Altern Med Rev 2006;11(4):278-293)

If you select a person at random from a population with body temperatures that are N(98.2,0.62)…-

. Use the empirical rule to determine the probability that the body temperature is between 98.2 and 99.44. Round to 4 decimal places

2.

In the 19th century, most books quoted "blood heat" as 98 F, until a study published the mean (but not the variance) of a large sample as 36.88 °C. Subsequently, that mean was widely quoted as "37 C”. This translates to 98.6 F. (Wikipedia)
In a recent study of 148 healthy men and women ages 18-40 years, participating in the Shigella Vaccine Trials at the University of Maryland Center for Vaccine Development, had oral temperatures measured 1-4 times daily for three consecutive days using an electronic digital thermometer. The mean observed oral temperature was 36.8 C which translates to 98.2 F, with a standard deviation of 0.62 F. (Altern Med Rev 2006;11(4):278-293)
If you select a person at random from a population with body temperatures that are N(98.2,0.62)…
-. Use the empirical rule to determine the probability that the body temperature is between 97.58 and 99.44. Round to 4 decimal places

3.

In the 19th century, most books quoted "blood heat" as 98 F, until a study published the mean (but not the variance) of a large sample as 36.88 °C. Subsequently, that mean was widely quoted as "37 C”. This translates to 98.6 F.    (Wikipedia)

In a recent study of 148 healthy men and women ages 18-40 years, participating in the Shigella Vaccine Trials at the University of Maryland Center for Vaccine Development, had oral temperatures measured 1-4 times daily for three consecutive days using an electronic digital thermometer. The mean observed oral temperature was 36.8 C which translates to 98.2 F, with a standard deviation of 0.62 F.   (Altern Med Rev 2006;11(4):278-293)

If you select a person at random from a population with body temperatures that are N(98.2,0.62)…-

- Use the empirical rule to determine the probability that the body temperature is larger than 99.44. Round to 4 decimal places

In an environmental project, a ground source heat pump system will be installed, which will result in an annual fuel savings of 2000 HK$/year. The initial investment of the heat pump system is 14 000 HK$. The life-time of the heat pump system is 20 years. The annual maintenance cost is 300 HK$/year. At the end of the 20 years' life time, the salvage value is 1500 HK$. The interest rate is 10%.

(1) What is the net present value (NPV) of this investment?

(2) What is the benefit-cost ratio (BCR) of this investment?

(3) What is the internal rate of return (IRR) of this investment?

(4) Based on the above NPV, BCR and IRR values, please determine whether this investment is attractive or not?

Based on the above questions, please investigate and comment that how the "annual fuel saving" and its variation will affect the results of the above question. For example, the "annual fuel saving" varies +/- 0~300 HK$ based on the original 2000 HK$/year. (* two-page report is required)

Behavioural Aspects of Management Accounting   

Consider the following quotation from a factory worker:

“I’m on a piece rate. I get $4.20 on top of my hourly pay for every 100 mouldings I press. Normally I do about 1000 a day-it’s a good bonus. But the work is easy. I could do 2000. If I did, though, I know what would happen. Firstly, management would decide that the rate for the job was too generous, and would cut it. And secondly, if we all increased our production like that, half of us would soon be out of a job. So- take it easy, that’s my motto”.
from Elkin & Inkson (2000, p.109)

Required: (a) What is extrinsic and intrinsic motivation?   

(b) What are the intrinsic and extrinsic motivating factors that are involved in the situation above?  

(c) What is goal congruence and is it being achieved in the above situation?

(d) Suggest two ways in which the factory worker could be encouraged to increase production?

The average monthly rent for a 1-bedroom apartment in San Francisco ranges from approximately $2500 to $3700, depending on the neighborhood. A rent control policy setting $2000 per month rent on apartments is being considered in San Francisco, where the demand for apartments is given by P = 5000 − Q and the supply of apartments is P = 1000 + Q. Here, P = dollars of monthly rent, and Q = number of apartments available for rent. For purposes of this analysis, apartments are treated as identical. (a) (4 points) What is the current market equilibrium price and quantity before the rent control is imposed? (b) (10 points) Now impose the rent control of P = $2000. Draw a market demand and supply graph and label the equilibrium price and quantity from part (a), the rent control price, and the number of apartments actually rented under the rent control policy. What is the change in consumer surplus, comparing the market equilibrium to the market with rent control? Label consumer surplus before and after rent control is imposed and show your work

In a large midwestern university (the class of entering freshmen is 6000 or more students), an SRS of 100 entering freshmen in 1999 found that 20 finished in the bottom third of their high school class.  Admission standards at the university were tightened in 2000.  In 2001, an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class.  Let p1 and p2 be the proportion of all entering freshmen in 1999 and 2001, respectively, who graduated in the bottom third of their high school class.

Is there evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced, as a result of the tougher admission standards adopted in 2000, compared to the proportion in 1999?  To determine this, you test the hypotheses

H0: p1 = p2, Ha: p1 > p2.

The z-test statistic is approximately 1.98, find the P-value, using a Standard Normal Table or your calculator.

Here, you will state whether you agree or disagree with fiscal and monetary policy actions taken in the 2000’s (2000-2010).

Fiscal Policy actions:

The Economic Stimulus Act of 2008

American Recovery and Reinvestment Act of 2009

Monetary Policy actions:

The Federal Open Market Committee

• It is possible that some actions you agree with and other you disagree with - that is fine. You can discuss your reasons for disagreement or agreement on a case-by-case basis.
• In your argument, be sure you are using our economic models and concepts to support you and not just your own opinion or feeling about what is best. For instance, saying that we should not have spent money on government programs because it's not fair to give out money to people would not be an macroeconomics-based reason. You could say that increased government spending through expansionary fiscal policy created too much inflation later on and so you disagree with that action.