A pig weighing 200 pounds gains 5 pounds per day and costs 45 cents a day to keep. The market price for pigs is 65 cents per pound, but is falling 1 cent per day. Do a sensitivity analysis of the time to wait to sell (denoted by t) to the keeping cost k. Derive a general expression of S ( t , k ) and evaluate it at k = 0.45 keeping all other constants the same, g = 5 , r = 0.01. Use words to explain .

P(t) for Profit

p(t) for price

w(t) for the weight of the pig

R(t) for the revenue from the sale

c(t) for the cost to keep the pig

g = 5 is the growth rate and r = 0.01 is the one cent each day

A flask of water rests on a scale that reads 100 NN. Then, a small block of unknown material is held completely submerged in the water. The block does not touch any part of the flask, and the person holding the block will not tell you whether the block is being pulled up (keeping it from falling further) or pushed down (keeping it from bobbing back up). Assume that no water spills out of the flask. (Figure 1)

Rank these blocks on the basis of the scale reading when the blocks are completely submerged.

Rank from largest to smallest. To rank items as equivalent, overlap them.

A, B, C, D, E, F

If the blocks were released while submerged, which, if any, would sink to the bottom of the flask?

Enter the correct letters from the table in alphabetical order without commas or spaces (e.g., ABC).

Suppose that a Big Mac costs $5.00 in New York and SF30 in Geneva. Suppose further exchange rate is $/ = $0.20/1SF.

a.Calculate the purchasing power parity exchange rate between the Swiss franc and the dollar.

b. Based on your calculation, is the SF overvalued or undervalued? Explain.

c. Suppose now that a Big Mac costs 1.25 pounds in London while the spot rate exchange rate is $2.50. Is the pound overvalued or undervalued? Explain.

d. Is the Big Mac a good basis for PPP calculations across the three countries? Why or why not?

e. Suppose that domestic money demand is falling at 2% per year while the money supply is rising at 6% per year. What is happening to the domestic price level? Explain in one sentence.

A retail firm is examining its inventory costing methods and considering the use of FIFO and Average Cost.

The following transactions occurred in April:

Beginning inventory was 20 units @ $100 each;

Purchased 8 units @ $150 each;

Sold 15 units @ $400 each.

Required:

(a)     Calculate the Cost of Sales for April for each of the two inventory costing methods being considered by the retail firm (GST effects can be ignored).                                                                                                                                                  

FIFO

______________________________________________________________________________

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AVERAGE COST (round average cost per unit to the nearest whole dollar)

______________________________________________________________________________

______________________________________________________________________________

______________________________________________________________________________

(b)    Which inventory costing method will give the highest profit for April and why?                  

______________________________________________________________________________

______________________________________________________________________________

(c)     If inventory prices were falling which inventory costing method would produce the highest profit and why?         

______________________________________________________________________________

______________________________________________________________________________

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(Total marks for Question 3 = 6 marks)

Medieval soliders build a counterweight trebuchet, a device that rotates about a fulcrum to launch a small projectile of mass m₁ = 1 kg from one arm of length L₁ = 8 m when a large weight of mass m₂ = 300 kg is placed on the other arm of length L₂ = 1 m. The arms of the trebuchet are approximately massless.

a) At the moment m₁ is launched, the arms of the trebuchet are parallel to the vertical direction. What is the angular velocity of the rotation of the trebuchet at this point?

b) What is the angular momentum of the trebuchet at the same moment as part a?

c ) What is the (linear) speed of m₁ at the moment it is launched?

d) The axis of rotation of the trebuchet is elevated a height H = 10 m above the horizontal surface of the ground. How much horizontal distance does the projectile travel before falling to the ground?

The law of diminishing marginal returns starts: *

a) Before minimum marginal cost

b) After minimum marginal cost

c) After minimum MPP

d) When capital is a variable input

Which of the following statement is not correct: Average variable costs of production

a) Will fall than rise as more is produced.

b) has a minimum

c) graphs as a U-shaped curve.

d) falls as long as output is increased.

If marginal cost is above average total cost, then: *

a) Average total cost is falling

b) Average total cost is rising

c) Average total cost is constant

d) Marginal cost is rising

Which of the following cost will not change as output changes? *

a) average variable cost.

b) total variable cost.

c) total fixed cost

d) marginal cost.

Discs A and B each have a rotational inertia about the central axis of 0.300 kg m, a radius of 20.0 cm, and can freely rotate around the center rods passing through these two discs, in the same direction around the rods. Each was rolled up to turn and pulled for 10.0 s. (The string falls off the end) The magnitude of the force pulling the string is 30.0 N for Disc A and 20.0 N for Disc B. After falling off, the disks collide and have the same final angular velocity at 6.00 s due to the friction between them. (a) What is the average amount of friction torque that caused the final angular velocity to be reached? (b) What is the loss of kinetic energy when torque acts on these plates? (c) Where did "Lost Energy" go?

The inlet pressure of a steam generator is to be held constant at 5.00 MPa. During the test, the inlet pressure was measured 120 times. The resolution of the digital pressure gauge used was 0.001 MPa. The number of results, m, is the number of readings falling in an interval of ±0.04 MPa centered about the listed pressure.

a)     a) Find the mean and standard deviation of the given pressure data.

b) b)  Determine 95% confidence interval for the calculated mean pressure.

c) Conduct a hypothesis testing if the data obtained indicate a target pressure of 5.00 MPa at a confidence level of 99

1.1 While a car travels around a circular track at a constant speed its, which of the following is true?

A) it has non-zero acceleration

B) it has zero acceleration

C) it has zero velocity, because the speed is constant

D) It has zero inertia

1.2. How many of the following statements are impossible?

(a) An object that has zero velocity and a non-zero acceleration.

(b) An object that travels with a constant velocity and a varying acceleration.

(c) An object that travels with a constant acceleration and a varying velocity.

1.3. For a freely falling object, how many of the following statements are true?

(a) the distance fallen during each second keeps increasing;

(b) the speed keeps increasing;

(c) the change in speed during each second keeps increasing;

(d) the acceleration keeps increasing.

True or False

1. The introduction of intratemporal trading opportunities in an economy in which these opportunities did not previously exist will allow house holds to spend their income in patterns that differ from the pattern in which their income is received.

2. An examination of the historical evolution of media of exchange suggests that innovations in hte form of the medium of exchange are driven by society's desire to reduce the utility costs associated with using an item as a medium of exchange.

3. If gold is the medium of exchange in an economy, discovery of new gold deposits will lead to a reduction in the value or price of gold and to an increase in the general price level as measured by indices such as the consumer price index and GDP deflator.

4. Since falling interest rates encourage current consumption and investment in physical capital, rising bond prices are an unambiguous indicator of good economic times.