In dogs, solid coat color (S ) is dominant over white spotted coat (s ). In a cross between two heterozygous dogs, what would be the probability of having a first litter of six pups, the firstborn with spotted fur, and then among the next five, three with solid fur and two with spotted fur; and then a second litter of seven pups in which the firstborn is spotted, the second born is solid, and then the remaining five pups are composed of three solid and two spotted animals.

A.

0.008

B.

0.0495

C.

0.066

D.

0.0247

E.

0.003

Consider two treatments for lung cancer: (1) radiation and chemotherapy and (2) immunotherapy. Treatment 1 costs $30,000. Treatment 2 costs $75,000.   With treatment 1, there is a 75% chance the patient will be alive in year 1 and a 50% chance in year 2, but the patient will die in year 3.   The quality of life is poor with treatment 1, 50% of full health in both years. With treatment 2, there is 50% chance of being alive in year 1 and a 40% chance of being alive in year 2, and a 30% chance of being alive in year 3 and the patient will be dead in year 4. However, the quality of life is much better: 90% of full health in years 1, 2, and 3. The discount rate is 5%.

a) How many QALY’s will each treatment yield?

b) Use the given costs and your answer to part a) to calculate the Incremental Cost Effectiveness Ratio (ICER) for the two treatments.

c) Based on what you know about the value of statistical life (VSL), does the more expensive treatment seem reasonably cost-effective? Explain.

Suppose Tokyo is planning to construct a new public park. Based on some market research, they have determined that the town’s 50 residents can be divided into two types with respect to their benefit from this public good. 20 of the town’s residents are of Type 1 and the other 30 residents are of Type 2. Each resident's individual demand for acres of park space is given by:

Type 1: Q_D = 20 – P

Type 2: Q_D = 40 – 2P

a. Solve for the aggregate demand of Tokyo’s 50 residents as a function of the number of acres. Be sure to write down equations for each section of the aggregate demand curve, as well as the interval of quantities each section spans.

b. Graph the aggregate demand curve calculated in part a. Make sure to label both intercepts, slopes, and the intersection of the two sections.

c. Suppose each acre of public park has a marginal cost of MC = 200 + Q . Solve for the socially efficient number of acres for the town to construct.

d. Calculate the total surplus the 50 residents of Tokyo's gain from constructing this public park.

Week 3 In-Class Exercise C++

Payroll

Design a PayRoll class that is an abstract data type for payroll. It has data members for an employee’s hourly pay rate, number of hours worked, and total pay for the week.

Your class must include the following member functions:

• a constructor to set the hours and pay rate as arguments,

• a default constructor to set data members to 0,

• member functions to set each of the member variables to values given as an argument(s) to the function,

• member functions to retrieve the data from each of the member variables,

• an input function that reads the values of number of hours and hourly pay rate,

• an output function that outputs the value of all data members for an employee,

• void function to calculate the total pay for a week.

The input and output functions will each have one formal parameter for the stream.

Write a program with an array of seven PayRoll objects. The program should ask the user for the number of hours each employee has worked and will then display the amount of gross pay each has earned.

Input Validation: Do not accept values greater than 60 for the number of hours

worked.

Sample Output:

Enter the hours worked and pay rate for 7 employees:

Employee #1 pay rate: 15

Employee #1 hours worked: 40

Employee #2 pay rate: 20

Employee #2 hours worked: 35

Employee #3 pay rate: 18

Employee #3 hours worked: 40

Employee #4 pay rate: 22

Employee #4 hours worked: 38

Employee #5 pay rate: 15

Employee #5 hours worked: 40

Employee #6 pay rate: 20

Employee #6 hours worked: 32

Employee #7 pay rate: 22

Employee #7 hours worked: 40

Total pay:

Employee #1: 600.00

Employee #2: 700.00

Employee #3: 720.00

Employee #4: 836.00

Employee #5: 600.00

Employee #6: 640.00

Employee #7: 880.00

Press any key to continue . . .

A Gallup Poll showed that 44% of Americans are satisfied with the way things are going in the United States. Suppose a sample of 25 Americans are selected.

Find the probability that no less than 7 Americans are satisfied with the way things are going.

Find the probability that exactly 15 Americans are not satisfied with the way things are going.

Find the probability that the number of Americans who are satisfied with the way things are going differs by greater than 2 from the mean.

Find the probability that greater than 7 Americans are satisfied with the way things are going.

Find the probability that at least 15 Americans are not satisfied with the way things are going.

Find the probability that no more than 9 Americans are satisfied with the way things are going.

Find the probability that more than 40% but at most 65% of these Americans are satisfied with the way things are going.

Round to 4 decimals.

ompare the 2014 inventory turnover results for two or more publicily traded companies. Examples: 1)AutoZone (a Memphis based company with Advance Auto, . Write an executive summary(two pages) detaling the respective inventory turnover ratios for the given period, giving the equivalent number of days of inventory for each company, and the potential financial impact if the under-performing company could match the inventory turnover ratio of the higher-performing company. Assume a 25% carrying cost ratio. Be careful to use the correct units for the financial impact

The Columbus Dispatch conducted a study. Two identical football, one filled with helium and one filled with ordinary air, were used. A casual observer was unable to detect a difference in the two footballs. A novice kicker was used to punt the footballs. A trial consisted of kicking both footballs in a random order. The kicker did not know which football he was kicking. The distance of each punt was recorded, then another trial was conducted. A total of 39 trials were run. Do the data indicate that helium-filled footballs travel farther than air-filled footballs? Give a confidence interval and significance test. (Data: FTBALL)

Sunset Bakers needs to purchase an oven. They are considering two alternatives:

Alternative 1: A Conventional Oven will cost $12,000 and can be expected to last 8 years, and will have a salvage value of $1,000 at the end of year 8. The cost of electricity used will be $2,500 per year. Maintenance cost will be $200 per year. In year 4 the heating element will need to be replaced at a cost of $850.

Alternative 2: A High efficiency Oven will cost $14,500 and can be expected to last 8 years, and will have a salvage value of $2,000 at the end of year 8. The cost of electricity used will be $2,000 per year. Maintenance cost is will be $250 per year. In year 4 the heating element will need to be replaced at a cost of $850. In year 5 the fan motor will need to be replaced at a cost of $500. Assume the services provided by the ovens are identical; assume an interest rate of 10%.

Compare the ANNUAL EQUIVALENT costs of the 2 alternatives and make a recommendation for selection.

Writing method in Java

Given a string, return the sum of the numbers appearing in the string, ignoring all other characters. A number is a series of 1 or more digit chars in a row. (Note: Character.isDigit(char) tests if a char is one of the chars '0', '1', .. '9'. Integer.parseInt(string) converts a string to an int.)

sumNumbers("abc123xyz") → 123
sumNumbers("aa11b33") → 44
sumNumbers("7 11") → 18