1. What is the relationship between price elasticity of demand and total revenue?

2.You are the manager of a theater. At present the theater charges the same admission price of $8 to all customers, regardless of age. You propose a two-tier pricing scheme: $5 for children under the age of 12 and $10 for adults. You tell your supervisor that your proposal is likely to increase revenue. What must be true about the price elasticity of demand if your proposal is to achieve its goal of raising revenue? Explain your answer.

3. If pilots and flight attendants agree to wage and benefit reductions in the wake of the financial difficulties in the airline industry, what impact would this have on the supply and demand in the market for airline service, assuming no other changes take place in this market?

Use your own words to explain， thank you.

In a study investigating the effect of car speed on accident severity, the vehicle speed at impact was recorded for 5000 fatal accidents. For these accidents, the mean speed was 42 miles per hour with a standard deviation of 15 miles per hour. Assuming the speeds are normally distributed, use the empirical rule to answer the following: a) About what percent of vehicle speeds were between 42 and 72 miles per hour? b) About what percent of vehicle speeds were in excess of 57 miles per hour? c) About what percent of vehicle speeds were below 12 miles per hour? d) About what percent of vehicle speeds were between 12 miles per hour and 57 miles per hour?

The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 75 miles/hour and a standard deviation of 6.1 miles/hour.

(a) What proportion of passenger vehicles travel slower than 77 miles/hour?

(b) What proportion of passenger vehicles travel between 65 and 81 miles/hour?

(c) How fast do the fastest 15% of passenger vehicles travel? miles/hour

(d) Find a value k so that 50% of passanger vehicles travel at speeds within k miles/hour of 75mph. k=

(e) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.

The distribution of passenger vehicle speeds traveling on the Interstate 5 Freeway (I-5) in California is nearly normal with a mean of 74.9 miles/hour and a standard deviation of 6.5 miles/hour.

(a) What proportion of passenger vehicles travel slower than 78 miles/hour?
(b) What proportion of passenger vehicles travel between 57 and 83 miles/hour?
(c) How fast do the fastest 10% of passenger vehicles travel? miles/hour
(d) Find a value k so that 45% of passanger vehicles travel at speeds within k miles/hour of 74.9mph. k=
(e) The speed limit on this stretch of the I-5 is 70 miles/hour. Approximate what percentage of the passenger vehicles travel above the speed limit on this stretch of the I-5.

Write in C++

Example

Enter number of miles travelled

12340

Enter number of hours in trip

460

file.txt

Miles: 12340

Hours: 460

MPH: 26.83

Question:

Write a program that does the following things:

1 ) Ask the user for number of miles travelled (should be in getData function and number of hours in trip (should be in getData function)

[Note: Use reference parameters to have access to these values in main]

2 ) Calculate the miles per hour(MPH) for the trip (should be in main)

3 ) write the miles, hours and MPH to a text file (should be in writeFile function)

[Note: Use reference parameter for writer]

Here are the functions you need       

Function name | Parameters                       | Return Type   

getData |  miles, hours   | void

writeFile | writer, miles, hours, MPH | void

A nationally branded manufacturer of tires wishes to review its warranty for its all-terrain radials. The warranty is for 40,000 miles. The distribution of tire thread life is normally distributed with a standard deviation of 6,125 miles. The manufacturer claims that the tire actually lasts more than 40,000 miles. A sample of 55 tires revealed that the mean number of miles is 41,655 miles.

a. Using a 0.02 significance level, determine the five-step hypothesis for the claim (show all steps).

10) a) A small island is 2 miles from the nearest point P of a straight shoreline. If a woman on the island can row a boat 3 miles an hour and can walk 4 miles an hour, where should the boat be landed in order to arrive at a town 10 miles down the shore from P, in the least time? b) Suppose instead that the woman uses a motorboat that goes 20 miles per hour. Then where should she land?

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 7 miles. Find the probability of the following events.

A. The car travels more than 69 miles per gallon.

B. The car travels less than 61 miles per gallon.

C. The car travels between 57 and 69 miles per gallon.

1)
a)
You are considering acquiring shares of common stock in the Madison Beer Corp.
Your rate of return expectations are as follows:
Possible rate of return       Possibility
-0.1               0.3
0.00               0.1
0.1               0.3
0.25               0.3
Compute the expected return on your investment

b)
You are considering acquiring shares of common stock in the Lauren computer Corp.
Your rate of return expectations are as follows:
Possible rate of return       Possibility
-0.6               0.05
-0.3               0.2
-0.1               0.1
0.20               0.3
0.4               0.2
0.8               0.15
Compute the expected return on your investment

C) Without any formal computations, do you consider which one A or B presents greater risk? Why?