You are a planner for the country represented above. The income elasticity of demand for rice is 0.8.:

Is this likely a relatively wealthy or relatively poor country? Why?

Use the information above and the homogeneity condition to determine the necessary percentage change in the price of rice that will raise the consumption of rice by 5%.

If rice consumption increases by 5%, what precisely are the implications for the demands for substitute goods?

What are general implications of what is known as the ‘income’ effect and the ‘substitution’ effect on your response to this question?

A portfolio manager is holding the following investments:

The manager plans to sell his holdings of Stock Y. The money from the sale will be used to purchase another $15 million of Stock X and another $5 million of Stock Z. The risk-free rate is 5% and the market risk premium is 5.5%. How many percentage points higher will the required return on the portfolio be after he completes this transaction?

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 143.6-cm and a standard deviation of 0.8-cm. For shipment, 41 steel rods are bundled together. Round all answers to four decimal places if necessary.

1. What is the distribution of X

? X

• ~ N(,)
• What is the distribution of ¯x
• ? ¯x
• ~ N(,)
• For a single randomly selected steel rod, find the probability that the length is between 143.4-cm and 143.5-cm.
• For a bundled of 41 rods, find the probability that the average length is between 143.4-cm and 143.5-cm.
• For part d), is the assumption of normal necessary? NoYes

A potter is making a spherical vase on a potter’s wheel. The vase has a mass of 0.8 kg and a radius of 4.0 cm and the potter’s wheel has a mass of 20.0 kg and a radius of 20.0 cm. The vase is centered on the wheel. While working on the vase, the wheel and vase rotate at 1 revolution every four seconds. When finished with the vase, the potter slows the wheel (and vase) by applying a normal force at the edge of the wheel. If she brings the wheel to a complete stop in 30 s and the coefficient of friction between her hands and the wheel is 0.45, what is the magnitude of the normal force between each hand and the wheel.

You are studying the laminar flow of water in a pipe at 20˚C. The pipe is 2 cm in diameter, and the pressure gradient driving the flow is 0.8 Pa/m.

1. Find the x-sectional average velocity (Poiseuille’s Law) and the maximum velocity achieved at the centerline of the pipe (use the equation for U_max presented in the alternative derivation of Poiseuille’s Law). How many times greater is the maximum velocity compared to the average velocity?
2. Is this ū/u_max ratio constant or does it vary with some other parameter? Prove your answer by deriving an equation for ū/u_max from the equations used in part.
3. Verify that the flow is laminar.

In 2011-2015, mutual fund manager, Diana Sauros produced the following percentage rates of return for the Mesozoic Fund. Rates of return on the market index are given for comparison.

Calculate (a) the average return on both the Fund and the index, and (b) the standard deviation of the returns on each. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Your manager wants you to design a new superinsulated hot-water heater for the residential market. A coil of Nichrome wire is to be used as the heating element. Calculate the length of wire required. (The water heater is cylindrical in shape, and is completely filled with water. Let the diameter of the water heater be 50 cm and its height 0.8 m. The coil of Nichrome wire is located inside the water heater, in contact with the water. Assume that the diameter of the Nichrome wire is 2.0 mm and that the water, initially at 20°C, is to be heated to 77°C in 1.0 h. Let the voltage used by the water heater be 120 V.)

Derive the unique subgame perfect Nash equilibrium payoffs for two players who have different discount factors (take the discount factor of player 1 as 0.6 and the discount factor of player 2 as 0.8) in a five‐period alternating offers bargaining game. Assume that player 1 is the first mover.

(i) What happens to these payoffs if you keep players' discount factors constant but make player 2, the first mover? Explain.

(ii) What happens to these payoffs if you keep discount factors and the first-mover the same, but increase the number of periods from 5 to 7? Explain

A device consists of 100 independent modules of equal functionality. Zk is the event that the kth group works reliably. a) What is the probability that the device will work reliably at P (Zk) = 99%?

There are four independently operating machines in a hall, which do not fail within a certain period of time with the probabilities 0.9, 0.95, 0.8 and 0.85, respectively. Calculate the probability that in this period a) all four machines work b) no machine works c) exactly one machine works d) exactly two machines work e) exactly three machines work f) at least one machine works

Two copper plates 0.50cm thick have a 0.10mm sheet of glass sandwiched between them. One copper plate is kept in contact with flowing ice water and the other is in contact with stream. What are the temperatures of the two copper-glass interfaces, and what is the power transferred through a 10cm by 10cm area? kcopper=385 K/mC and kglass=0.8 K/mC

The answers given are: 9C, 91 C, and 6.6E3 W. I am just trying to learn the process of solving problems like this and my closest answer was 7837 W, which is still off.