University of Hertfordshire MSc Assignment
Week 2 Hand-in Assignment
Hype Ltd produces four types of
clothes with the use of a special machine. Each labor hour in the special
machine costs £10. For the production of the four products the company has
6,800 special machine labor hours. There will be no shortage of any other factor
of production. Costings and break-even quantities for the products are as
follows:
Products |
A
(Jeans) |
B
(Shirts) |
C
(Jackets) |
D
(Coats) |
Material cost per unit |
£20
|
£30
|
£60
|
£100
|
Special machine labor hours per
unit |
0.25 |
0.5
|
0.4
|
0.55 |
Fixed costs |
£40,000 |
£50,000 |
£70,000 |
£120,000 |
BEP (break-even point) quantity |
1,000 |
1,500 |
1,400 |
2,100 |
For each type of product the
management of the firm aims at the following targeted profit levels:
Product |
Target
Profit |
A |
£100,000 |
B |
£120,000 |
C |
£150,000 |
D |
£200,000 |
However, the marketing department
has conducted a consumer survey and estimated that the actual demand for the
products will be different from that corresponding to the targeted profits. The
estimated quantity demanded for each product is given in the table below:
Product |
Estimated
Quantity Demanded |
A |
3,200 |
B |
3,600 |
C |
4,300 |
D |
5,300 |
REQUIRED:
- Calculate
the volume of activity that the company will have to achieve in order to
meet the targeted level of profit for each one of the four products.
The question here can also be
described as to determine the targeted profit, which goes to mean the unit of
goods that need to be sold in order for the company to be able to reach its set
profit target. Thus, it is calculated with the
formula: ales (units) = Fixed Costs + Target Profit/ Contribution margin per
unit
Product A = Estimated demand +
targeted profit / contribution margin per unit (targeted profit – variable
cost)
= 3,200 units + £100,000 / (£100,000
- £20.25)
= £103,200uits / 99,979.75
= 1.0322 £/unit
Product B = Estimated demand +
targeted profit / contribution margin per unit (targeted profit – variable
cost)
= 3,600 units + £120,000 / (£120,000
- £30.5)
= £103,200uits / 119969.5
= 0.860 £/unit
Product C= Estimated demand +
targeted profit / contribution margin per unit (targeted profit – variable
cost)
= 4,300 units + £150,000 / (£150,000
- £60.4)
= £154,300uits / 149939.6
= 1.029 £/unit
Product D= Estimated demand +
targeted profit / contribution margin per unit (targeted profit – variable
cost)
= 5,300 units + £200,000 / (£200,000
- £100.55)
= £205,300uits / 199899.45
= 1.027 £/unit
- Calculate
the optimal production each of for the four products by taking into
account the available labor hours and the estimates of the marketing
department.
This is the point at which the
labour house is deemed capable of meeting estimated level of production. The formula is: labour hour = market
estimate
Product A= since 0.25 = 1,000 units,
then for 3,200 units, the optimum level is (3,200/1000) x 0.25 = 0.80 labour
hours
Product B= since 0.5 = 1,500 units,
then for 3,600 units, the optimum level is (3,600/1,500) x 0.5 = 1.2 labour hours
Product C= since 0.4 = 1,400 units,
then for 4,300 units, the optimum level is (4,300/1,400) x 0.4 = .22 labour
hours
Product D= since 0.55 = 2,100 units,
then for 5,300 units, the optimum level is (5,300/2,100) x 0.55 = 1.39 labour
hours
- Propose ways that could help the company to solve the
problem of special machine time shortage (around 300 words).
One of the ways to solve the issue
of special machine time is by the company constantly evaluating the performance
of their variable labour in order to determine the level of changes in output
and correct such changes before they pose risk to the company’s sustainability.
This can be viewed to be more like a precautionary measure towards
unpredictable circumstances as it ensures that issues related to output and
performance of the company as easily identified and corrected in time to avoid
unforeseen circumstances.
Outside the above recommendations, it is also necessary for the company to monitor market demand as changes in the demand curve will affect overall changes in the company’s performance – in terms of its capability to meet market demand with available labour. As such, it is important for the company to manager its human resources and provide a sustainable means of meeting market demands.