1. police car is traveling south towards the intersection that a robber’s car has just crossed traveling east. The robber’s car is currently traveling 55 mph. The police car’s speed is currently 63 mph. How is the distance between the cars changing when the cop is 1.2 miles from the intersection, and the robber is .5 miles from it? Be sure to answer in a complete sentence.

2. In calm water, an oil spill spreads out in a circular fashion. Suppose the radius, r, of the spill is increasing by 3 feet per minute. How fast is the area, A, of the spill growing when the radius is 10 feet? Be sure to answer in a complete sentence.

3. We want to construct a box whose base is length is 5 times the width.  The material used to build the top and bottom cost $9 per sq. ft. and the material used to build the sides cost $7 per sq. ft.  If the box must have a volume of 75 cu. ft., determine the dimensions that will minimize the cost to build the box.

Use Best Response Curve and Isocost Curve = Labor Discipline Model to analyze “game” between trucking companies and drivers.

Background: In the past drivers made by mileage between pick up and delivery points which gave drivers and incentive to maximize mileage, (i.e., drive from NYC to LA in two days in spite of safety rules limiting hours driven per day). Drivers previously recorded fake driving time data to show DOT, but now DOT requires Electronic Logging which operates while a truck is running and records miles and time. Electronic logging will reduce opportunity for drivers to maximize miles/income. Also, most drivers view time on the road away from home as work time. Trucking companies must bid against drivers opportunity costs of working elsewhere when unemployment is low.  

Use the labor discipline model to show the effect on trucking companies of low unemployment and a tight market for workers in other industries.

The table shows a short excerpt from the "car weight and mileage" data file on the text CD. That file lists several 2004 model cars with automatic transmission and their x = weight (in pounds) and y = mileage (miles per gallon of gas). The scatterplot is roughly linear and r = -0.74. The regression equation is  = 47.140 - 0.0051x.

(a) Find the predicted mileage and residual for a Hummer H2.

(b) Use this information in a sentence.
The Hummer gets miles/gallon  ---Select--- (fewer) (more) than one would predict.
(c)  % (Enter a number between 0 and 100; 2 decimal places) of the variability in  ---Select--- (Mileage) (Weight) can be explained by  ---Select--- (Mileage) (Weight)

On January 1, Town Spa Pizza purchased a delivery truck for $36,000. The truck has an estimated useful life of 10 years or 140,000 miles and an estimated residual value of $8,000. Town Spa’s fiscal year is the calendar year. Calculate the amounts requested below.

1)Depreciation Expense for the year, using the production method. Assume 22,000 miles were driven this year:

2)The total accumulated depreciation after the truck has been used for 5 years, using the straight-line method.

3) Depreciation Expense for year 3 of use, using the double-declining balance method.

4)Assume the truck was purchased on September 20. The depreciation expense for calendar year 2 of use, using the double-declining balance method, would be:

Professor drives a Tesla to travel from city ? to city ?. The distance between cities ? and ? is ? miles. The Tesla can go up to ? miles before it needs a charge and there are many charging locations along the way including those in city ? and city ?. Professor wants to minimize the number of charges needed so he can get to his destination ASAP. Assume that at any charging location there is at least another charging location within a t mile radius.

For example, for ? = 10, t = 4 and the following charging locations (underlined)
(?)1 2 3 4 5 6 7 8 9 10 11(?)

the numbers of charges needed is 2 (at #4 and #8).

Professor ? promises to give you an A in his class if you can design a procedure to help him to achieve the goal. Does your procedure provide an optimal solution? Why or why not? Write a pseudo-code for your procedure. Show its correctness and complexity.

Please use C++.This is all of the given information.

10. The Westchester County Superintendent of Education is responsible for assigning students to the three magnet high schools in her county. She recognizes the need to bus a certain number of students, for several sectors of the county are beyond walking distance to a magnet school. The superintendent partitions the county into five geographic sectors as she attempts to establish a plan that will minimize the total number of student miles traveled by bus. She also recognizes that if a student happens to live in a certain sector and is assigned to the magnet high school in that sector, there is no need to bus him/her since he/she can walk to school. The three magnet schools are located in sectors B, C, and E. The accompanying table reflects the number of magnet high-school-age students living in each sector and the distance in miles from each sector to each school. Each Magnet High School has a capacity of 900 students. Set up the objective function and constraints of this problem, and solve using MS Excel. this question was answered need solver help

Are you thinking of bypassing a​ gasoline-fueled car in favor of a hybrid​ (gasoline and​ electric) automobile?​ Let's take a look at the relative economics of your possible choice.​ Let's say the​ gasoline-fueled car sells for​$21,000 and gets 25 miles per gallon​(mpg) of​ fuel, while the competing hybrid car sells for ​$26,000 and averages 36.5 mpg. The expected resale value of the hybrid car is $9,100 and that of the​ gasoline-only car is $7,100 after five years of anticipated ownership. If you drive 16,000 miles per year and gasoline cost will average $4.00

per​ gallon, what is the internal rate of return​ (IRR) on the incremental investment in the hybrid automobile relative to the​ gasoline-only car? Assume that all other maintenance and operating costs are the same for the two vehicles.

Using the​ "trial-and-error" method, the incremental IRR is

____.

​(Round to one decimal​ place.)

Based on this​ analysis, if your investments typically give you a MARR is

5​%,

which vehicle should you​ buy?

In recent years, Avery Transportation purchased three used buses. Because of frequent turnover in the accounting department, a different accountant selected the depreciation method for each bus, and various methods were selected. Information concerning the buses is summarized as follows.

For the declining-balance method, the company uses the double-declining rate. For the units-of-activity method, total miles are expected to be 117,000. Actual miles of use in the first 3 years were: 2014, 27,600; 2015, 32,400; and 2016, 30,400.

question 1=

Compute the amount of accumulated depreciation on each bus at December 31, 2015. (Round answers to 0 decimal places, e.g. 2,125.)

QUESTION 12

1. Shock Absorbers Question 3
   
   A manufacturer of automobile shock absorbers was interested in comparing the durability of its shocks with that of the shocks produced by its biggest competitor. To make the comparison, one of the manufacturer's and one of the competitor's shock absorbers were randomly selected and installed on the rear wheels of each of six cars. After the cars had been driven for 20,000 miles, the strength of each test shock absorber was measured, coded, and recorded; results are shown in the table below. Note that the higher the measurement, the more durable is the shock absorber.
   
   Shock Absorber Strength
   

   Car	Manufacturer’s	Competitor’s
   1	8.8	8.4
   2	10.5	10.1
   3	12.5	12.0
   4	9.7	9.3
   5	9.6	9.0
   6	13.2	13.0

   
   
   If one wants to demonstrate that the mean strength of the manufacturer’s brand exceeds that of the competitor’s by at least 0.5 units after 20,000 miles of use, what is the p-value of the appropriate test of hypotheses?

   	a.	0.309
   	b.	0.168
   	c.	0.293
   	d.	0.503
   	e.	0.907