Suppose program node Nj has 10 risk events Ei (i = 1, 2, 3,…,10). Suppose each risk event’s occurrence probability and its impacts if it occurs (with four dimensions: Cost, Schedule, Technical Performance, and Programmatic) are scored as shown on Figure 4.21.
1. Use Equation 3.68 and value functions in Figure 3.40 to approximately calculate overall impact of each risk event. Assume equal weights among the dimensions of impact.
2. Use Equation 4.1 and the value functions in Figure A to calculate the risk score measure of each risk event. Assume equal weights in computing each risk score measure.
3. Suppose Figure 4.23 presents a portion of a capability portfolio defined as part of engineering an enterprise system. Given the information shown, apply the risk analysis algebra in Chapter 4 to derive a risk measure as indicated. Assume λ is given by the function in Figure 4.11.
4.
A. What is RS3.221?
B. What is RS3.222?
C. What is RS3.223?
D. What is RS3.22?
E. What is RS3.2?
F. Briefly desribe how project/program managers may use the weights in Equations 3.56 and 4.1 to make the risk algebra more meaningful and suitable.
G. Briefly desribe how project/program managers may use their own λ-function to make the risk algebra more meaningful and suitable
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This section consists of TWO (2) questions. Answer ALL questions.
Question 1
Three joint products are produced by a chemical process. There are two consecutive processes. Output from the first process is transferred to next process, from which three joint products, N35, B24 and L27 are produced and sold.
Process 1
Material 50,000 kg at RM8 per kg Direct labour
Overheads
Normal loss 10% of input Scrap value of loss Output
RM400,000 RM250,000 RM180,000
RM4 per kg 46,000kg
Process 2
Direct labour Overheads Output
RM276,000 RM276,000
N35 18,000 kg
B24 16,000 kg
L27 12,000 kg
There were no opening and closing stocks in either process. The selling prices of the output from Process 1 were as follows:
N35 RM48 per kg
B24 RM36 per kg
L27 RM24 per kg
Required:
a) Prepare an account for Process 1 . [10 marks]
b) Calculate the total of joint cost. [2.5 marks]
c) Calculate the profit attributable to each of the joint products by apportioning the total costs from Process 2:
On the basis of weight of output. [7.5 marks]
[Total: 20 marks]
Question 2
Amni run a soft toys shop in Kampar, Perak. Below are the transactions for the month of May 2020.
May 1
Beginning Inventory
50 units @ RM15.00 each
4
Purchases
140 units @ RM15.50 each
11
Purchases
70 units @ RM16 each
26
Sales
190 units @ RM19.00
31
Required:
Sales
30 units @ RM19.50
a) Calculate the value of ending inventory and the cost of goods sold using perpetual:
i. First In First Out (FIFO) [5 marks]
ii. Last In First Out (LIFO) [4.5 marks]
iii. Average Method (AVCO) [4.5 marks]
b) Draw up the statement of profit and loss and other comprehensive income for the year showing the gross profits that have been reported using FIFO, LIFO and AVCO. [6
marks]
[Total: 20 marks]
SECTION B: Structured Questions (60 marks)
This section consists of THREE (3) questions.
Answer A LL questions.
Question 1
Product Beta is produced by passing through two processes: 1 and 2. The following information relates to Process 1 for the month of April 2020. At the start of the period, there were 600 units of opening work in process with a cost to date of RM4,500.
The degree of completion and the costs to date are as follows:
Degree of completion
Costs
Materials
100%
RM2,350
Labour
40%
800
Overheads
70%
1,350
During the month of April, the following costs were incurred:
2,000 units of direct materials
RM14,800
Direct labour
RM7,385
Production overhead
RM7,896
At the end of April, it was found that there were 500 units of closing work in process with the following degree of completion:
Degree of completion
Materials
70%
Labour
50%
Overheads
40%
There was no loss in the process.
The company operates using the first in first out method of charging opening stock to production.
Required:
a) Prepare the Process 1 Account. [4 marks]
b) Prepare the statement of equivalent production units and calculate the total equivalent production units in total and by elements of cost. [7 marks]
c) Prepare the statement of cost and calculate the cost per equivalent units in total and by elements of cost. [3.5
marks]
d) Prepare the statement of valuation and calculate the cost to be transferred to process in total and by elements of cost. [5.5 marks] [Total: 20 marks]
Question 2
A. Indah Anggun Company has provided the following information regarding its product Alpha for Period 1.
Units produced
250,000
Units sold (RM40 per unit)
200,000
Budgeted units
250,000
V ariable cost per unit:
RM
Direct materials
10
Direct labour
7
Variable production overheads
5
Variable selling and administrative overheads
3
There were no opening stocks at the start of the period 1. It is also noted that the actual and budgeted production overheads are the same.
Required:
a) Prepare the operating statements based on marginal costing principles.
[4.5 marks]
B. Manufacturing support cost for Bijak Sdn. Bhd. in September 2020 is as follows:
Cost pool
Normal cost (RM)
Electricity consumed
20,000
Material handling
45,000
Machine assembly
40,000
Quality inspection
20,000
Total
125,000
Company’s cost accounting system assigns support cost to product based on machine hours. Estimated total machine hour for September 2020 is 25,000. The Managing Director has requested the accountant to implement an Activity Based Costing (ABC) system because this system is believed to estimate product cost more accurately. The accountant has collected the following data:
Cost pool
Cost driver
Existing capacity
Cost (RM)
Electricity consumed
Kilowatt hours
10,000 kilowatt
20,000
Material handling
Material movement
2,500 movement
45,000
Machine setup
Number of setups
500 sets finished
40,000
Quality inspection
Number of inspections
1,000 inspections
20,000
The company received an order to supply 500 units of a product called M10. The estimated cost and other information that relate with the production of 500 units of M10 are as follows.
Raw material cost
RM10,000
Direct labour cost
RM9,000
Machine hour
900 machine hours
Direct labour hour
1,000 direct labour hours
Electricity consumption
1,000 kilowatt hours
Material handling
20 movement
Machine set up
3 set ups
Quality inspection
10 inspections
Required:
a. Define Activity Based Costing (ABC). [3.5 marks]
b. Calculate the cost per unit for product M10 by using the following methods:
I. Traditional Costing [2
marks]
II. Activity Based Costing [2
marks]
[Total: 12 marks]
Question 3
Bright Lighting Sdn Bhd, an engineering company, has five cost centres: Three production departments, machine shop, welding shop and assembly shop and two service departments, maintenance and power house.
The following are the allocated costs:
Machine Shop
(RM)
Welding Shop
(RM)
Assembly Shop (RM)
Maintenance (RM)
Power house
(RM)
Indirect wages
400
800
300
250
250
Indirect
material
800
1,200
500
300
200
Repairs and
maintenance
3,000
2,500
1,500
2,000
1,000
A pportionment costs
RM
Rent
10,000
Power
2,000
Lighting
5,000
Depreciation on equipment
10,000
Insurance on equipment
1,000
The following basis of apportionment is available.
Direct labour cost
(RM)
Machine hours
Floor area sq.ft
Direct labour hours
Effective horse power
Number of employees
Equipment value (RM)
Machine
shop
21,000
7,000
200
8,000
40
20
30,000
Welding
shop
19,000
6,000
400
11,500
30
10
20,000
Assembly
shop
10,000
5,000
300
10,500
20
30
20,000
Maintenance
–
–
50
–
5
20
15,000
Powerhouse
–
–
50
–
5
20
15,000
50,000
18,000
1,000
30,000
100
100
100,000
It is decided that the cost of the service cost centre should be apportioned as follows:
Machine
Shop
Welding
Shop
Assembly
Shop
Maintenance
Powerhouse
Maintenance
(%)
20
50
30
–
–
Powerhouse
(%)
20
60
20
–
–
Required:
a. Prepare an analysis of the overheads using the basis provided above. [25 marks]
b. Using the direct method, apportion the service cost centre among the production cost centres [3 marks]
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· The answered assignment should be in an MS word file format.
· The assignment should be submitted electronically by the above due date.
· No hard copies of the assignment will be accepted.
· Ensure that your COMPLETE final answer is clearly written in the box provided.
· Ensure that your process is clearly shown and logical. Unclear or vague workout will result in deduction of marks
4 decimal places for workout process and answers except for answers in dollars. Answers in dollars must be in 2 decimal places. All decimal places require in-class discussed rounding procedure
Calculate the accumulated value after ten years of payments of $2000.00 made at the end of each month if interest is 4% compounded semi-annually.
Assignment 5
Question #:_______2_______(5 Marks)
FINAL ANSWER:
What is the principal from which $279.00 can be withdrawn at the end of each month for 17.5 years if interest is 5.44% compounded quarterly?
Assignment 5
Question #:_______3_______(10 Marks)
FINAL ANSWER:
For her daughter’s university education, Carla Hackl has invested an inheritance in a fund paying 9.2% compounded quarterly. If ordinary annuity payments of $5750.00 per month are to be made out of the fund for 6 years and the annuity begins 7.75 years from now, how much was the inheritance?
Assignment 5
Question #:_____4_________(10 Marks)
FINAL ANSWER:
Calculate the amount of money that must be deposited at the end of every three months into an account paying 6% compounded monthly to accumulate to $15 500.00 in ten years?
Assignment 5
Question #:_______5_______(10 Marks)
FINAL ANSWER:
Sabrina deposits 5300.00 into a savings account at the end of each month for five years. If the accumulated value of the deposits is $20 000.00 and interest is compounded semi-annually, calculate the nominal rate of interest
Assignment 5
Question #:_______6_______(10 Marks)
FINAL ANSWER:
Hector makes payments of $2500.00 into an RRSP at the beginning of every six months starting today for 33 years. If the interest rate is 8% compounded semi-annually, calculate the accumulated value.
Assignment 5
Question #:_______7_______(10 Marks)
FINAL ANSWER:
Beverley intends to retire in 7.25 years and would like to receive $2700.00 every month for 12.25 years starting on the date of her retirement. How much must she deposit in an account today if interest is 11.36% compounded annually?
Assignment 5
Question #:_______8_______(10 Marks)
FINAL ANSWER:
What monthly lease payment due in advance should be charged for a tract of land valued at $135 000 if the agreed interest is 8.15% compounded semi-annually?
Assignment 5
Question #:_____9_________(10 Marks)
FINAL ANSWER: a)
b)
A contractor’s price for a new building was $85 500.00. Stampede Inc., the buyers of the building, paid $14 000.00 down and financed the balance by making equal payments at the end of every six months for 15 years. Interest is 12% compounded semi-annually.
a) What is the size of the semi-annual payment?
b) How much will Stampede Inc. owe after 6 years?
Assignment 5
Question #:_____9 continued_________(10 Marks)
FINAL ANSWER: C)
d)
c) What is the total cost of the building for Stampede Inc.?
d) What is the total interest included in the payments?
Tom receives pension payments of $6000.00 at the end of every six months from a retirement fund of $90 000.00. The fund earns 8.00% compounded semi-annually.
a) How many payments will Tom receive?
b) What is the size of the final pension payment?
Assignment 5
Question #:_____11_________(10 Marks)
FINAL ANSWER: a)
b)
15) Duguid and Partners bought a property valued at $87 300.00 for $17 000.00 down and a mortgage amortized over 17 years. The firm makes equal payments due at the end of every three months. Interest on the mortgage is 6.85% compounded annually and the mortgage is renewable after five years.
a) What is the size of each quarterly payment?
b) What is the outstanding principal at the end of the five-year term?
Assignment 5
Question #:_____11 continued_________(10 Marks)
c) What is the cost of the mortgage for the first five years?
d) If the mortgage is renewed for a further five years at 7.17% compounded semi-annually, what will be the size of each quarterly payment?
FINAL ANSWER: c)
d)
BUSI 1003: Math for Business – Assignment/Project Submission form ROUND to 2 Decimal places for all answers with units of money
Case Study 1 Calculations: Calculate the client’s target heart rate using the Karvonen formula. Training Program: Design full a 12-week periodized training program for the client described in the Clie
Case Study 1
Calculations: Calculate the client’s target heart rate using the Karvonen formula.
Training Program: Design full a 12-week periodized training program for the client described in the Client Profile. Be very specific as you design the training program. This is an opportunity for you to demonstrate your full comprehension of the information and concepts discussed throughout the course. List the types of exercise, duration, sets, reps, rest intervals, and so on.
Include the following in your case study submission:
A description of your professional responsibilities as discussed in the stages of the drawing-in process (Unit 12)
Discussion of any fitness tests, methods of evaluation, and data collection used to assess and evaluate the client’s needs
Specific conditions that you have identified in the client profile
A fully detailed 12-week comprehensive and periodized training program including specific exercises, sets, repetitions, suggested rest times, etc. Use an integrated approach in your program recommendations.
Specific and detailed nutritional strategies and an explanation as to how the strategies will assist the client in meeting energy needs
Explanation for your chosen assessment, programming, and nutritional recommendations. (Be sure to reference course concepts when discussing rationale for your recommendations.
Keep in mind that a client should be able to take your program and put it into practice without having to contact you to clarify what you intended by your recommendations or to explain parts of your program.
Don’t forget your explanation for WHY you listed and recommended what you did. Reference the concepts and theories covered in the course. Be sure to address why the program and exercises recommended are appropriate for the specific client given the clientÕs history, current abilities, and intended goal(s). For example: if you are developing a program for a beginner client without any resistance training experience, explain how your program addresses the lack of experience, initial need for foundational development, process by which you would safely progress the client, etc. Tying your program to course concepts is a critical component of your case study.
Review the Client Profile below.
Client Profile: Steve Rogers
Age: 27
Gender: Male
Resting Heart Rate: 60 bpm
Height: 6’0″
Weight: 178 lb
Body Fat Percentage: 11%
Background and Goals: Steve is an avid runner and has been quite slim his whole life. He runs moderate- to long-distances three or four days per week. Running is his only physical activity. Steve has never been interested in resistance training because it is not his strong suit. Steve recently decided that he is tired of being skinny. He would like to put on some size and muscle before he travels back to his hometown for a good friend’s wedding in 12 weeks.