A process to produce 2000 ton/ year of pyruvic acid requires a total capital investment of $ 30 million (working capital of $ 3 million). Fixed operating costs are $ 1 million/ year and the the variable operating costs (excluding raw materials) is expected to be $ 0.5/kg product. The yield of the product per ton of raw material is 80%. The tax rate is 35%. Calculate the selling price (in $/kg) which gives a minimum ROI after tax of 35%. Assume straight line depreciation. The project life is 10 years.

On 31 December 2000, Columbia Inc. entered into an agreement with Scotia Ltd. to lease equipment with a useful life of 6 years. Columbia Inc. will make four equal payments of $134,000 at the beginning of each lease year. Columbia Inc. anticipates that the equipment will have a residual value of $91,200 at the end of the lease, net of removal costs. Columbia Inc. has the option of extending the lease by (1) paying $91,200 to retain the equipment or (2) allowing Scotia Ltd. to remove it. Scotia Ltd.’s implicit interest rate in this lease is 8%. Columbia Inc.’s incremental borrowing rate is 9%. Columbia Inc. depreciates the leased equipment on a straight-line basis. The lease commences on 1 January 2001. Assume that the fair value of the equipment on the open market is greater than the present value of the lease payments. (PV of $1, PVA of $1, and PVAD of $1.) (Use appropriate factor(s) from the tables provided.)

Required:

1. Prepare a lease liability amortization table for this lease for Columbia Inc. (Round your final answers to the nearest whole dollar amount. Leave no cell blank. Be certain to enter "0" wherever required.)

2. Prepare all entries that Columbia Inc. will record for this lease for 2011 and 2012. (Round your intermediate calculations and final answers to the nearest whole dollar amount. If no entry is required for a transaction/event, select "No journal entry required" in the first account field.)

The following table consists of one student athlete's time (in minutes) to swim 2000 yards and the student's heart rate (beats per minute) after swimming on a random sample of 10 days.

For computation purposes,
?¯x¯ = 34.998 , ?¯y¯ = 140.8 , ∑?∑x= 349.98 , ∑?∑y = 1408 , ∑??∑xy = 49295.03 , ∑?2∑x2 = 12252.1068 , ∑?2∑y2 = 199442 ,
Use swim time as the explanatory variable ?x and compute the correlation coefficient, then find the least-squares regression line.

The correlation coefficient is ?=r=  . (Round to 4 decimal places.)

The equation of the least squares line is
?̂ =y^=  +  x. (Round to 4 decimal places.)

1. In October 2000, the U.S. Department of Commerce reported the results of a large-scale survey on high school graduation. Researchers contacted more than 25,000 Americans aged 24 years to see if they had finished high school; 83.9% of the 12,460 males and 87.8% of the 12,678 females indicated that they had high school diplomas.

a. Are the assumptions and conditions necessary for inference satisfied? Explain.

b. Create a 95% confidence interval for the difference in graduation rates between males and females.

c. Interpret your confidence interval.

d. Does this provide strong evidence that girls are more likely than boys to complete high school? Explain.

A four-cylinder petrol engine has a swept volume of 2000 cm3, and the clearance volume in each cylinder is 60 cm3. Calculate the air standard cycle efficiency. If the introduction conditions are 1 bar and 24 ?C, and the maximum cycle temperature is 1400 ?C, calculate the mean effective pressure based on the air standard cycle.

ANSWERS(59.1%; 5.30 bar)

A vehicle which is equipped with a 6 cylinder, 2000 cc spark ignition engine is cruising at an average speed of 150 km/h from Ankara to Istanbul on the highway. The mass of the vehicle with single driver is 1200 kg and its projected frontal area is 3 m2. The coefficient of rolling resistance is 0.015 and the discharge coefficient is 0.3. The distance between Istanbul and Ankara is approximately 450 km. Assuming an average brake specific fuel consumption of 250 g/hp-h, calculate how many liters of fuel will be used during this journey ( r fuel = 0.73 g/cc and ambient air density r a=1.2 kg/m3).

two subway cars as shown in Figure 1 have mass m = 2000 kg and are connected by a coupler that can be modeled as a spring of stiffness k = 280,000 N/m. Use Newton’s method to derive the equations of motion, calculate the natural frequencies and determine the associated mode shapes. also, find the time response x1(t) and x2(t) of the subway initial conditions: x(0)= [ 0, 0.2] with zero initial velocity vector.  

On January 1, 2000 Apple Company acquired all of the stock of Pear Company at book value. Apple accounts for its investment in Pear using the initial value method and Pear doesn't pay any dividends.

On January 1st 2015 Pear Company issued $1,000,000 face value bonds for $930,000 These 7% bonds pay interest each July 1 and January 1. Pear uses straight line amortization on these 20 year bonds.

On January 1, 2020, Apple Company acquired all of the Pear bonds for $955,000.

1. Make the necessary worksheet entries for 2020

2. In 2020, Apple reported unconsolidated income of $900,000 and Pear reported income of $100,000 what is consolidated income

3. make the necessary worksheet entries for 2021

4. in 2021, Apple reported unconsolidated inocme of $800,000 and Pear reported income $125,000 what is consolidated income

3. In 2000, a sample of 209 people aged 18-30 found that they spent an average of 6.75 hrs/week on the internet. In 2006, a sample of 541 people aged 18-30 spent an average of 7.34 hrs/week on the internet. Has the average increased?

Use correct notation where appropriate.
For each of the following situations,
a) What is/are the population(s) in the study?
b) Does the scenario involve 1 or 2 parameters to be estimated/tested/compared?
c) What is/are the parameter(s) to be estimated/tested/compared? Be specific and use the appropriate notation.
d) What is/are the variable(s) involved. Is each numerical or categorical?
e) Is it most appropriate to create a confidence interval or conduct a hypothesis test? If a hypothesis test should be conducted, state the
hypotheses.
f) Will the critical value or test statistic be a z-value or t-value?

Andy, a single man, buys a house in 2000 for $210,000 as his personal residence, living there 100% of the time. He has not made any improvements on the house since then. In 2019, he sells the house for $360,000, and moves to France.
How much of a Long-Term Capital Gain did he realize?

a. He did not realize any LTCG on this transaction

b. He realized $75,000 in LTCG on this transaction

c. He realized $150,000 in LTCG on this transaction

      How much income tax will Andy have to pay, related to the sale of his house? His    

      other income puts him in the 25% marginal tax bracket for ordinary income.

a. $  0 b. $ 11,250 c. $   18,750 d. $   22,500 e. $   37,500