A) Find the equation of the tangent line to the curve y = 5e^-8x at the point (0, 5).

B) Solve for t.

e^0.09t = 9

C) Rancher Johann wants to build a three-sided rectangular fence near a river, using 280 yards of fencing. Assume that the river runs straight and that Johann need not fence in the side next to the river.

Johann wants to build a fence so that the enclosed area is maximized.

• What should be the length of each side running perpendicular to the river?
  yards
  
• What should be the length of the side running parallel to the river?
  yards
  
• What is the largest total area that can be enclosed?
  square yards

D) Find the absolute maximum and minimum values on the closed interval [-3,3] for the function below. If a maximum or minimum value does not exist, enter NONE.

f(x) = (4x)/(x² + 1)

E) When a baseball park owner charges $5.00 for admission, there is an average attendance of 100 people. For every $0.25 increase in the admission price, there is a loss of 2 customers from the average number.

1. What admission price should be charged in order to maximize revenue
   
2. What is the maximum revenue?

F) Find the derivative.

f(x) = x⁶ · e^2x

Which of the following cannot explain urban sprawl in the U.S.?

a. The fiscal problems with central cities

b. The high crime rate near city centers

c. Higher commuting cost due to rising fuel prices

d. Minimal lot size requirement that exclude high-density housing

Greedy investing in subprime mortgage securities caused the financial crisis of 2008. Explain why the first sentence is true (or explain why you disagree if you think it is not true). How did subprime mortgages in the U.S. become a worldwide financial issue? Did any of you suffer as a result of the financial crisis of 2008 ( or your parents, if that is a more age appropriate question).

I'll start: I tried to sell my house during the financial crisis. I received only one offer which was $200K below the tax assessed value of the property. Why were buyers incapable or unwilling to buy a good property during the crisis. (In 2012 the house sold in less than 6 weeks for the asking price.)

11. How can a hotel take a proactive stance on fire safety?

How does a hotel property manager respond to the challenge of revenue management?

explain customer perspective as one of dimensions of the balanced scorecard in Hotel context

Explain the Financial perspective as one of dimension of the balanced scorecard for hotel business

What is the future Customer Relationship Management (CRM) that Hilton's Hotel will use ?

What processes would be involved in the initial set-up of the new hotel?

What are similarities. and differences. between running a club versus running a hotel?