Representatives of hotels, restaurants, hotel and restaurant supply companies, and other businesses located in Portland, Oregon, organized an association to attract conventions to their city. Members were asked to make contributions equal to 1 percent of their sales to finance the association. To aid collections, hotel members, including Hilton Hotels Corporation, agreed to give preferential treatment to suppliers who paid their assessments and to curtail purchases from those who did not. This agreement violated federal antitrust laws. The United States sued the members of the association, including Hilton Hotels, for the crime of violating federal antitrust laws. Can a corporation be held criminally liable for the acts of its representatives? If so, what criminal penalties can be assessed against the corporation? United States v. Hilton Hotels Corp., 467 F.2d 1000, Web 1972 U.S. App. Lexis 7414 (United States Court of Appeals for the Ninth Circuit)

Light rays that are near to and parallel to the principle axis are called

paraxial rays.   

parabolic rays.   

paranormal rays.

The far point of the eye decreases to 5 m and near point increases to 1m. Then, Find the power of the lens.

1- The Variable Cost, (VC), of making 10 fidgets is 100, the Variable Cost, (VC), of making 11 fidgets is 110, What is the Marginal Cost, (MC), of making the 11th fidget?

2- The Total Cost, (TC), of making 10 widgets is 490 , the Total Cost, (TC), of making 11 widgets is 550,What is the Marginal Cost, (ATC), of making the 11th widget?

3- The Total Cost, (TC), of making 10 widgets is 490, the Total Cost, (TC), of making 11 widgets is 550,What is the Average Total Cost, (ATC), of making 11 widgets?

4- The Total Cost, (TC), of making 10 widgets is 490, the Total Cost, (TC), of making 11 widgets is 550,What is the Average Total Cost, (ATC), of making 10 widgets?

5- If Marginal Cost is less than (below) Average Total Cost

6-

If Marginal Cost is greater than (above) Average Total Cost

A girl is sitting near the open window of a train that is moving at a velocity of 22.00 m/s to the east. The girl's uncle stands near the tracks and watches the train move away. The locomotive whistle emits sound at frequency 770.0 Hz. The air is still. (Use 343 m/s for the speed of sound in air for all parts of this question.) (a) What frequency does the uncle hear? Hz (b) What frequency does the girl hear? Hz (c) A wind begins to blow from the east at 22.00 m/s. What frequency does the uncle now hear? Hz (d) What frequency does the girl now hear? Hz

Ms. Smith, the owner and manager of the Clear Duplicating Service located near a major university, is contemplating keeping her shop open after 4PM and until midnight. In order to do so, she would have to hire additional workers. She estimates that the additional workers would generate the following total output (where each unit of output refers to 100 pages duplicated). If the price of each unnit of output is $10 and each worker hired must be paid $40 per day, how many workers should Ms. Smith hire?

Wokers hired 0   1     2   3    4    5   6

Total Product 0 12 22 30 36 40 42

Find the marginal revenue product of labor for the data in the problem above from the change in total revenue resulting from the employment of each additional unit of labor, and show that the number of workers that Ms. Smith should hire is the same as that obtained in the problem above.

Case Study 2: Forecasting Box Office Returns

For years, people in the motion picture industry – critics, film historians, and others – have eagerly awaited the second issue in January of Variety. Long considered the show business bible, Variety is a weekly trade newspaper that reports on all aspects of the entertainment industry; movies, television, recordings, concert tours, and so on. The second issue in January, called the Anniversary Edition, summarizes how the entertainment industry fared in the previous year, both artistically and commercially.

In this issue, Variety publishes its list of All Time Film Rental Champs. This list indicates, in descending order, motion pictures and the amount of money they returned to the studio. Because a movie theater rents a film from a studio for a limited time, the money paid for admission by ticket buyers is split between the studio and theater owner. For example, if a ticket buyer pays $8 to see a particular movie, the theater owner keeps about $4 and the studio receives the other $4. The longer a movie plays in a theater, the greater the percentage of the admission price returned to the studio. A film playing for an entire summer could eventually return as much as 90% of the $8 to the studio. The theater owner also benefits from such a success because although the owner’s percentage of the admission price is small, the sales of concessions (candy, soda and so on) provide greater profits. Thus, both the studio and the theater owner win when a film continues to draw audiences for a long time. Variety lists the rental figures (the actual dollar amounts returned to the studios) that the films have accrued in their domestic releases (United States and Canada).

In addition, Variety provides a monthly Box-Office Barometer of the film industry, which is a profile of the month’s domestic box-office returns. This profile is not measure in dollars, but scaled according to some standard. By the late 1980’s, for example, the scale was based on numbers around 100, with 100 representing the average box-office return of 1980. The figures from 1987 and 1996 are given in the table below and in the file BoxOffice.xlsx in blackboard.

All the figures are scaled around the 1980’s box-office returns, but instead of dollars, artificial numbers are used. Film executives can get a relative indication of the box-office figures compared to the arbitrary 1980 scale. For example, in January 1987 the box-office returns to the film industry were 95% of the average that year, whereas in January 1988 the returns were 104% of the average of 1980 (or, they were 4% above the average of 1980’s figure).

From the time series given in the above table, you will make a forecast for the 12 months of the next year, 1997.

Managerial Report is due on … Thursday, 19 Sept (40 pts)

1. Produce a time series plot of the data. From this graph, do you see a pattern? Can you see any seasonality in the data?
2. Use exponential smoothing to fit the data. Select an appropriate constant a based on the variation you see in the data. Comment on the appropriateness of exponential smoothing on this data set. Plot the predictions from this model on the graph with the original data. How well does this technique fit the data? Make forecasts for 1997.
3. Use regression to build a linear trend model. Comment on the goodness-of-fit of this model to the data (or, how well does R² explain the variance in the data?). Plot the predictions from this model on the graph with the original data.
4. Develop multiplicative seasonal indices for the linear trend model developed in question 3. Use these indices to adjust predictions from the linear trend model from question 3 above for seasonal effects. Plot the predictions from this model on the graph with the original data. How well does this technique fit the data? Make forecasts for the next 12 months of 1997 using this technique.
5. Which forecasting method of those that you tried do you have the most confidence for making accurate forecasts for 1997? Use MAPE (mean absolute percent error) as your criterion to justify your decision.

Enrichment (5 pts): Use Optimization (and Solver in Excel) to find the optimal smoothing constant in problem 2 above (by minimizing the Mean Squared Error or MSE).

You have always dreamed “seeing the world”, and are making plans to do so. You estimate that it will cost about J$1,800,000 for air fares, hotel accommodation, and sight-seeing, and could be done in a six week period. You plan to take this trip in seven year’s time, starting during your pre-retirement leave in January 2018. You intend to start building this travel fund in January 2011, and will continue until December 2017.

1. Your plan is to invest your entire Christmas bonus every year starting January 1, 2011. You estimate that your Christmas bonus will be $80,000 this year, and will increase by 5% per year after that. Every January until 2017 you plan to open a new certificate of deposit with the entire bonus. You don’t intend to withdraw any of these funds until the end of December 2017. What will be the total amount in these accounts in December 2017, if the average expected return on each account is 12% per year?                                                                                                                                            

You also intend to have a monthly savings plan, starting at the beginning of January 2011. Into this account, you plan to put $5,000 at the start of every month, with your final deposit being at the beginning of December 2017. If the average expected interest rate is 12% per year, compounded monthly, how much do you expect to have in the account at the end of December 2017?