Assume a coordinate system where the origin is the point where supply pack is released, the positive x axis is the direction the plane is flying and the positive y axis points downward.   Assume the horizontal and vertical components of the air resistance are proportional to the square of the velocities

1. Using the appropriate model using accuracy to the nearest foot rounding off at the end of the problem, determine the horizontal distance the pack travels assuming

The plane altitude is 1000 feet above the ground, the plane’s speed is constant at 300 miles per hour, the proportionality constant for air resistance is k=0.0053 in the correct units, and the pack weighs 256 pounds

FAR = Floor Area Ratio

You have purchased the land and lifts of an older ski resort. You are upgrading the lifts and are master planning the real estate development of the ski resort. After studying other resorts you come up with the following (back of the envelope) regression for the sales price per square foot of residential real estate in similar resorts:

P = 300 – 100d – 20F

Where d is distance in miles to the lifts and F is FAR. You ascertain that construction costs will be 140 per square foot regardless of FAR.

a). What does your “optimal” density or FAR gradient look like?

This year Evan graduated from college and took a job as a deliveryman in the city. Evan was paid a salary of $72,100 and he received $700 in hourly pay for part-time work over the weekends. Evan summarized his expenses below:

Calculate Evan's AGI and taxable income if he files single. Assume that interest payments were initially required on Evan’s student loans this year.

Type or pa

1. A study by Metro Bus Service on the effect of bus-ticket prices on the number of passengers produced the following results:

Ticket Price:        25           30           35           40           45           50           55           60

Pssngrs/100 m   800         700         780         660         640         600         620         620

1. Plot these dat
2. Develop the estimating equation that best describe these data.
3. How can we ensure that the above model best used for provided data?
4. Predict the number of passengers per 100 miles if the ticket price were 50. Use 95% approximate prediction interval.v

ste question here

You are hired by an automotive company to choose a spring to use on each of the four wheels of a 2000 kg racing vehicle designed to go 180 miles per hour. When you set the car on the tires the entire car is supposed to sag not more than 10 cm. The car also needs shocks to damp out road vibrations. The damping constant should be chosen such that the amplitude of oscillation reduces to 1/3 the original undamped amplitude after one full period of oscillation. Give values for k, the spring constant, and b, the damping constant. State any other assumptions you might need to make.

Review the following squestions and provide substantive responses. Make sure that you provide proper references and format the paper in the APA style.

1. Suppose you are having difficulty managing a small group of subordinates who work in an office 1,000 miles away from your home base. What kinds of changes in structure, technology, and people can be implemented to more closely supervise these distant employees?

2. Think of the organization in which you currently work—specifically, the work group or department with which you are most closely affiliated. How would you characterize this unit with respect to division of labor, span of control, and centralization?

A plane is maintaining a 270◦ heading at 37◦ N latitude, with an air speed of 560 miles per hour. the cruise control is engaged, using a pressure altimeter while over the Ocean. The altimeter is set for a sea level pressure 1010 hPa and keeps an indicated altitude of 38,500 feet. At the start of a 1 hour period the radar altimeter, which provides the actual distance above the surface, shows 35,725 feet. At the end of the 1 hour period, the radar altimeter shows 37,820 feet. Assuming purely geostrophic flow, what direction and about how far has the plane drifted from its course.

The feasibility of constructing a profitable electricity producing windmill depends on the mean velocity of the wind. For a certain type of windmill, the mean would have to exceed 20 miles per hour to warrant its construction. The determination of a site's feasibility is a two-stage process. In the first stage, readings of the wind velocity are taken and the mean is calculated. The test is designed to answer the question, " is the site feasible?" In other words, is there sufficient evidence to conclude that the mean wind velocity exceeds 20 mph? If there is enough evidence, further testing is conducted. If there is not enough evidence, the site is removed from consideration. Discuss the consequences and potential costs of Type I and Type II errors.

Do heavier cars really use more gasoline? Suppose 5 cars were chosen at random. Let x be the weight of the car (in hundreds of pounds) and y be gas mileage (in miles per gallon).

X- 34,46,33,47,23

y- 17,29,23,28,21

- What is the value of the correlation coefficient? Based on the correlation coefficient, as the weight of the car increases, does the gas mileage tend to increase or decrease?

-Find the equation of the least-squares regression line.

-What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line?

- Predict the gas mileage for a car that weighs x = 30 (hundred pounds). Is this interpolation or extrapolation?

Suppose you manage a local grocery store, and you learn that a very popular national grocery chain is about to open a store just a few miles away. Use the model of monopolistic competition to analyze the impact of this new store on the quantity of output your store should produce (Q) and the price your store should charge (P). What will happen to your profits? Please show graphically and explain your reasoning in detail. For example, how and why do profits change? How can that be seen on the graph? What could you do to defend your market share against the new store?