A refrigerant (R-134 A) at 0.8 MPa and 30 deg Celcius is throttled in a steady flow to a lower pressure and a temperature of -10 deg Celcius. What is the specific entropy generated? You can make the usual assumptions that are made for a throttle.

A small portion of a population migrates to an isolated island. Its genotypic frequencies are 0.8 AA, 0.1 Aa and 0.1 aa. These individuals start a new population on this island.  

1. What phenomenon is being described here?
2. Calculate the allele frequencies for this new island population.
3. Assume that this population is not undergoing evolution and undergoes random mating. What genotypic frequencies will you see in this population after one generation of random mating?
4. What will the allele and genotype frequencies be after 5 generations?

The Apple just paid a $0.8 quarterly dividend. The dividends are expected to grow at 20% per year for the next 3 years. After that, the growth rate is expected to go down to the industry average of 8% per year and stay at this level forever. The required rate of return on Apple is 15% per annum.

1.Draw the time line, showing dividends of Apple.

2.Find the price of Apple stock.

3.Find the value of its growth opportunities (PVGO).

4.What is the effective annual rate (EAR) of return on the Apple stock?

3. A company has calculated their point price elasticity of demand to be -0.8 when they sell 6,000 units a month at a price of $120 per unit.

3. (a) The CEO is planning to implement an aggressive price cut in order to increase the quantity sold and, therefore, the revenue of the company. What would be your feedback on such plan? Justify your answer using the economic intuition behind the concept of price elasticity of demand.

(b) What is the expected percentage change in the monthly quantity of units sold if the company raises the price by 30%? How many monthly units do they expect to sell after this change in price? Calculate price elasticity of demand at the new price and quantity.

(c) What should be the price in order to sell 7,200 units?

(d) The production manager informs the CEO of the company they just discovered a new and cheaper way to produce the good they sell. His advice is to double production because the new procedure halves the cost per unit, so costs will remain unchanged. Should the recommendation be followed? Relate your answer to the concept of elasticity.

The ABC COmpany just paid a $0.8 quarterly dividend. The dividends are expected to grow at 20% per year for the next 3 years. After that, the growth rate is expected to go down to the industry average of 8% per year and stay at this level forever. The required rate of return on ABC is 15% per annum.

1)Draw the time line, showing dividends of ABC.

2)Find the price of ABC stock.

3)Find the value of its growth opportunities (PVGO).

4)What is the effective annual rate (EAR) of return on the ABC stock?

Please Type your answers. NO handwritten notes.

1. (0.8) two areas of a large city are being considered as the seat of
day care centres. Of 200 families interviewed in one section.
the proportion of mothers working full - time was 0.52. In
the other section, 40 % of the 150 families interviewed had mothers who
they worked full-time jobs. With a level of significance
of o =0.04. is there is a significant difference in the proportion of mothers
who work full - time in the two areas of the city?.

An oligopoly market's monthly demand is given by the equation: Q = 3,840 – 0.8 P. In creating a cartel, the four oligopolists agree to the following market shares: Firm a: 35%, Firm b: 20%, Firm c: 30%, and Firm d: 15%. They also agree to charge the same price. Their respective Total Costs functions are:

Firm a T.C. = 600,000 + 0.75 Q2

Firm b T.C. = 300,000 + 0.75 Q2

Firm c T.C. = 500,000+ 0.75 Q2

Firm d T.C. = 180,000 + 0.75 Q2

If the four firms live up to their agreement, how many units will each firm produce and what price will each firm charge?

A sample of 34 paired observations generates the following data: d− d − = 0.8 and s2D s D 2 = 4.4. Assume a normal distribution. (You may find it useful to reference the appropriate table: z table or t table) a. Construct the 99% confidence interval for the mean difference μD. (Round intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) b. Using the confidence interval, test whether the mean difference differs from zero. There is no evidence that the mean difference differs from zero. There is evidence that the mean difference differs from zero.