Better Mousetraps has developed a new trap. It can go into production for an initial investment in equipment of $6.6 million. The equipment will be depreciated straight line over 6 years to a value of zero, but in fact it can be sold after 6 years for $643,000. The firm believes that working capital at each date must be maintained at a level of 15% of next year’s forecast sales. The firm estimates production costs equal to $1.90 per trap and believes that the traps can be sold for $6 each. Sales forecasts are given in the following table. The project will come to an end in 6 years, when the trap becomes technologically obsolete. The firm’s tax bracket is 35%, and the required rate of return on the project is 12%. Use the MACRS depreciation schedule.

A) . What is project NPV? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer in millions rounded to 4 decimal places.)

B) By how much would NPV increase if the firm depreciated its investment using the 5-year MACRS schedule? (Do not round intermediate calculations. Enter your answer in whole dollars not in millions.)

An person has applied for positions at Company A, Company B and Company C. The probability of obtaining an offer from Company A is 0.3, from Company B is 0.6 and from Company C is 0.8. Assume that the three job offers are independent.

A)What is the probability that the person will receive a job offer from ALL three companies?

B)What is the probability that the person will receive a job offer from Company A only ?

C)What is the probability that the person will receive job offer from Company B only ?

D)What is the probability that the person will receive job offer from Company C only ?

E)What is the probability that the person will receive a job offer from exact one company (either A, B or C)?

F)What is the probability that the person will receive a job offers from Company A and B but not C?

G)What is the probability that the person will receive a job offers from Company A and C but not B?

H)What is the probability that the person will receive a job offers from Company B and C but not A?

I)What is the probability that the person will receive a job offers from exactly two companies?

K)What is the probability that the person will not receive any job offers?

L)What is the probability that the person will receive at least one job offer (i.e. either 1 or more)?

(PLZ ANSWER ASAP)

A Cessna 172 has the following characteristics: Wingspan: 36’ 1” Wing Area: 174 ft2 Normal Gross Weight: 2,450 lb Fuel Capacity: 54 gal of aviation gasoline Power Plant: 1 × Lycoming IO–360–L2A piston engine, 180 hp Specific Fuel Consumption: 0.3 lb/hp-h Parasite drag coefficient: CD,0 = 0.037 Oswald efficiency factor: e = 0.72 Propeller efficiency: 0.8 #Passengers: 3 (+1 pilot)

(a) Produce a plot showing the power required vs. velocity of the aircraft. Label the axes clearly. [Use Excel or a programming language of your choice]

(b) Produce a plot showing the L/D ratio vs. velocity. Label the axes clearly. [Use Excel or a programming language of your choice]

(c) What is the maximum velocity at sea level?

(d) What is the minimum flight velocity at sea level?

(e) What is the maximum velocity at 5,000 ft?

(f) What is the maximum rate of climb?

(g) What is the service ceiling?

(h) How long does it take to get to the service ceiling?

(i) If you run out of fuel at an altitude of 5,000 ft, how far can the plane glide?

(j) What is the maximum range?

(k) What is the range at maximum velocity?

(l) What is the maximum endurance?

(m) What distance is required for takeoff?

(n) What distance is required for landing?

Jason Scott has applied for a mortgage to purchase a house, and he will go to settlement in two months. His loan can be locked in now at the current market interest rate of 7% and a cost of $1,000. He also has the option of waiting one month and locking in the rate available at that time at a cost of $500. Finally, he can choose to accept the market rate available at settlement in two months at no cost. Assume that interest rates will either increase by 0.5% (0.3 probability), remain unchanged (0.5 probability), or decrease by 0.5% (0.2 probability) at the end one month.

Rates can also increase, remain unchanged, or decrease by another 0.5% at the end on the second month. If rates increase after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second month is 0.5, 0.25, and 0.25, respectively. If rates remain unchanged after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second month is 0.25, 0.5, and 0.25, respectively. If rates decrease after one month, the probability that they will increase, remain unchanged, and decrease at the end of the second month is 0.25, 0.25, and 0.5, respectively.

Assuming that Jason will stay in the house for 5 years, each 0.5% increase in the interest rate of his mortgage will cost him $2,400. Each 0.5% decrease in the rate will likewise save him $2,400. What strategy would you recommend?

How do you set this up in excel?

Activity 2

Record your data from Activity 1 in the boxes below. Place the data (turbidity value, appearance) for the samples in the appropriate columns (clean standard,           maximum load, standard, sample 1, sample 2, sample 3)

The following information will be needed to make your conclusion --

In the region of the United States you are investigating, the allowable standards of turbidity are:

Drinking water is 0.3 NTU

Water for irrigation and industrial use 5 NTU

Water released into lakes is 10.0 NTU

Water released into rivers 15.0 NTU

PLEASE ANSWER ALL QUESTIONS THANK YOU!

1. Is the turbidity spectrometer accurate based on the data from the Clean Water and Maximum Load Water Standards?

Explain why or why not?

2. Is the relationship between the appearance of the sample and the NTU value of each sample consistent for all samples?

Explain why or why not.?

3. For each sample, make a recommendation for the best way to release or use the waste water based on the Turbidity Stands Chart.

.

MATLAB question!

4. (a) Modify the code, to compute and plot the quantity E = 1/2mv^2 + 1/2ky^2 as a function of time. What do you observe? Is the energy conserved in this case?

(b) Show analytically that dE/dt < 0 for c > 0 while dE/dt > 0 for c < 0.

(c) Modify the code to plot v vs y (phase plot). Comment on the behavior of the curve in the context of the motion of the spring. Does the graph ever get close to the origin? Why or why not?

given code
---------------------------------------------------------------

clear all;   
m = 4; % mass [kg]
k = 9; % spring constant [N/m]
c = 4; % friction coefficient [Ns/m]
omega0 = sqrt(k/m); p = c/(2*m);
y0 =-0.8; v0 = 0.3; % initial conditions
[t,Y] = ode45(@f,[0,15],[y0,v0],[],omega0, p); % solve for 0<t<15
y = Y(:,1); v = Y(:,2); % retrieve y, v from Y
figure(1); plot(t,y,'ro-',t,v,'b+-');% time series for y and v
grid on; axis tight;
%---------------------------------------------------
function dYdt = f(t,Y,omega0,p); % function defining the DE
y = Y(1); v = Y(2);
dYdt=[ v ; -omega0^2*y-2*p*v]; % fill-in dv/dt
end

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1. What is the chemical composition of the core of a one solar mass star during the red super giant (asymptotic giant) phase? a) mainly carbon and oxygen b) mainly helium c) mainly hydrogen 2. What kind of stellar remnant will be left when the sun dies? a) red giant b) black hole c) white dwarf d) neutron star Which of the following Is not true of the cosmic background radiation? a) it is nearly equally bright in all directions b) it is starlight c) It was produced about a million years after the beginning of the expansion d) It is brightest in the radio (microwave) part of the spectrum 2. Which spatial geometry implies a finite universe a) closed b) flat c) open 3. A photon leaving a region of extremely strong gravity a) will be unaffected b) will lose energy and thus slow down c) will lose energy and thus be redshifted d) will gain energy and thus be blueshifted 4. As a degenerate gas is heated it will a) expand substantially b) contract substantially c) neither expand nor contract substantially d) alternate between expansion and contraction 5.How far away from sun, in light years in the closest star? a) 4.3 light years b) 1.4 light years c) 0.3 light years d) 6.2 light years

1. When we work with probabilities, we always use the decimal form. What's the decimal version of 15%? (Put a zero before the decimal point.)

2. What about the decimal version of 0.3%? (Put a zero before the decimal point.)

3. Suppose you roll a six-sided die and flip two coins. What is the chance that the die will come up as a 5 or a 6 and you'll get two tails?

Express your answer as a value between 0 and 1, rounded to two decimal places.

4.Suppose you roll a six-sided die and flip three coins. What is the chance that the die will come up as an even number and you'll get at least one heads?

Express your answer as a value between 0 and 1, rounded to two decimal places.

5. Jerry and George are writing a pilot for a sitcom. They estimate they have a 90% chance of the show not being picked up as a series. If that happens, their combined profit is -$40,000 as they've invested a great deal of time and energy and received nothing for it. If the show is picked up, the profit the pair would earn depends on the success of the show, as indicated in the table below. Calculate Jerry and George's expected profit, in thousands of dollars. Do not include a dollar sign ($) in your answer.

Problem 14-1 (All answers were generated using 1,000 trials and native Excel functionality.) The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows:

(a) Compute profit per unit for base-case, worst-case, and best-case.

Profit per unit for base-case:$

Profit per unit for worst-case: $

   Profit per unit for best-case: $

(b) Construct a simulation model to estimate the mean profit per unit. If required, round your answer to the nearest cent.

   Mean profit per unit = $

(c) Why is the simulation approach to risk analysis preferable to generating a variety of what-if scenarios?

(d) Management believes that the project may not be sustainable if the profit per unit is less than $5. Use simulation to estimate the probability the profit per unit will be less than $5. If required, round your answer to a one decimal digit percentage. %