COVID-19 virus is spreading around the world. The management of Hang Seng Lab (HSL) is studying the costs for tests in the lab. HSL has received some complaints because the fees for lab tests are higher than its competitors. HSL has not used standard costs before. After you do the market research, you find the following worldwide averages for labs:

Containers: Four containers are required per lab test. These containers cost $4 each and will not be used again after the test is done.

Labour: Each saliva test should require 0.4 hours to complete, and each stool test should require 0.2 hours to complete. The average cost of this lab time is $20.5 per hour.

Overhead: Overhead cost is based on direct labour-hours. The average rate for variable overhead is $6 per hour.

Other useful information is extracted from HSL as follows:
i. Two types of tests are performed in the lab – saliva tests and stool tests. During the past month, 2,000 saliva tests and 2,700 stool tests were performed in the lab.
ii. Small containers are used in both types of tests. During the past month, the lab purchased 14,000 containers at a cost of $61,880. No container was on hand at the beginning of the month and two thousand of these containers were unused at the end of the month.
iii. The lab’s variable overhead cost last month totaled $12,006.
iv. During the past month, 1,450 hours of labour time were recorded in the lab at a cost of $29,000.

Required:
1. Calculate the materials price variance for the containers purchased last month and the materials quantity variance for the containers used last month (Hint: purchased units are not equal to used units).
2a. Calculate the labour rate variance and the labour efficiency variance.
2b. Almost one-half of the workers in the lab are senior technicians and one-half are assistants in most other labs. HSL employs only one-fifth senior technicians and four-fifths assistants to reduce costs. Would you suggest keeping this scheme? Explain with three reasons (less than 70 words).
3a. Calculate the variable overhead rate and efficiency variances.
3b. Are the variable overhead efficiency variance and the labour efficiency variance related? Explain with two reasons (less than 40 words).

5.37.) A political committee consists of seven Democrats and give Republicans. A subcommittee of six people needs to be formed from this group. Determine the probability that this subcommittee will consist of the following.

a.) Two Democrats and four Republicans if they were randomly selected?

b.) Four Democrats and two Republicans if they were randomly selected?

c.) Three Democrats and three Republicans if they were randomly selected?

d.) Calculate the mean and standard deviation for the distribution which defines selecting a Republican as a success?

e.) Verify these results with Excel.

A 100.0-g bar of gold is heated from 25 ℃ to 50 ℃ during which it absorbs 322 J of heat. Assume the volume of the gold bar remains constant.

 

Part A

Based on the data, calculate the specific heat of Au(s).

Express your answer to two significant figures and include the appropriate units.

Cs =

 

Part B

Suppose that the same amount of heat is added to two 10.0-g blocks of metal, both initially at the same temperature. One block is gold metal, and one is iron metal. Which block will have the greater rise in temperature after the addition of the heat?

Suppose that the same amount of heat is added to two 10.0- blocks of metal, both initially at the same temperature. One block is gold metal, and one is iron metal. Which block will have the greater rise in temperature after the addition of the heat?

The gold block have the higher final temperature.

Two blocks have the same final temperature.

The iron block have the higher final temperature.

 

Part C

What is the molar heat capacity of Au(s) ?

Express your answer to two significant figures and include the appropriate units.

Write program#2 upload .java file.

2A) Write a java program that uses the Random class to generate a number in the range 21 to 64.  Print the generated number.

2B) Using the Random class and nextInt(6), rolls two die generating two random numbers each in the range 1 through 6. Total by adding the two values together. Print the value of each die, and the total value.

2C) Using the Math class and sqrt(num), calculate the square root of integer twenty-two divided by integer seven, print the result formated to ten decimal places. Hint: the result of the division needs data conversion to support a double.

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A new asset is available for $239,000. O&M costs are $24,000 each year for the first five years, $37,680 in year six, $57,700 in year seven, and $88,300 in year eight. Salvage values are estimated to be $198,000 after one year and will decrease at the rate of 17% per year thereafter. At a MARR of 12%, determine the economic service life of the asset. Enter your answer as an integer from 1 to 8.

A company has a 13% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows: 0 1 2 3 4 5 6 7 Project A -$300 -$387 -$193 -$100 $600 $600 $850 -$180 Project B -$400 $133 $133 $133 $133 $133 $133 $0 What is each project's NPV? Round your answer to the nearest cent. Project A $    Project B $   What is each project's IRR? Round your answer to two decimal places. Project A  % Project B  % What is each project's MIRR? (Hint: Consider Period 7 as the end of Project B's life.) Round your answer to two decimal places. Project A  % Project B  % From your answers to parts a-c, which project would be selected? -Select-Project AProject BItem 7 If the WACC was 18%, which project would be selected? -Select-Project AProject BItem 8 Construct NPV profiles for Plans A and B. Round your answers to the nearest cent. Discount Rate NPV Plan A NPV Plan B 0% $   $   5 $   $   10 $   $   12 $   $   15 $   $   18.1 $   $   24.18 $   $   Calculate the crossover rate where the two projects' NPVs are equal. Round your answer to two decimal places. % What is each project's MIRR at a WACC of 18%? Round your answer to two decimal places. Project A  % Project B  %

Budget Prices Inc. opened for business on January 01, 2017 and has budgeted sales revenue for the first quarter of 2017 as follows: January $100,000 February $175,000 March $250,000 The company anticipates that approximately 80% of sales each month will be on credit given the nature of the business, with a collection plan as follows:  50% in the month of sale  40% in the month following the sale  10% two months following the sale Required: Prepare a monthly cash collections/receipts budget for the first quarter

Problem 3. A square loop of wire is made up of 50 turns of wire, 40 cm on each side. The loop is immersed in a 0.4−T magnetic field perpendicular to the plane of the loop. The loop of wire has little resistance but it is connected to two resistors in parallel as shown.

When the loop of wire is rotated by 180°, how much charge flows through the circuit?

How much charge goes through the smaller resistor?

What is the direction of the induced current? Explain how you know!

You’ve borrowed $16,000 on margin to buy shares in Ixnay, which is now selling at $40 per share. Your account starts at the initial margin requirement of 50%. The maintenance margin is 35%. Two days later, the stock price falls to $38 per share.

a. Will you receive a margin call?

• Yes

• No

b. How low can the price of Ixnay shares fall before you receive a margin call? (Round your answer to 2 decimal places.)