## CURRENT SITUATION OF DAVID JONES LIMITED COMPANY

The following post has two questions namely;

## 1.CURRENT SITUATION OF DAVID JONES LIMITED COMPANY

Use the same organisation/case study (CURRENT SITUATION OF DAVID JONES LIMITED COMPANY) you chose in Assessment 1.

You need to address all points below. Utilise each question as a heading.

As a Diploma student you are required to read and research widely. You must include a bibliography with your assessment as evidence of the research you have conducted. If you provide direct quotes

you should reference these both in text and with a reference list.

Task

Part A: Implementation

Develop an implementation plan (at least 2000 words) that addresses internal labour needs in the medium to long term (e.g. for the next year). This will include a succession plan for senior staff,

which utilises succession planning principles and incorporates a retention plan. The outcome needs to be that the organisation is appropriately staffed in readiness for a future change in the

organisation. This must include considering the diversity needs of the organisation, such as age, gender, ethnicity etc. and planning for adjustment as those needs change. Utilise the same company

and the information you provided as in assessment 1 to detail the implementation of the plan.

The plan should include the following:

1. A plan for diversity management, recruitment, training, redeployment and redundancy for the next year. Include a timeline. Consider industrial relations issues such as awards, enterprise

agreements and Fair Work legislation. Utilise a tool attached to the end of this assessment.

2. Turnover figures in percentage terms in determining future staffing needs. Utilise figures obtained in assessment 1

3. An organisation chart and identify at least three key positions to be used to implement a succession planning system to ensure desirable workers are retained.

4. A succession plan to ensure the organisation becomes an employer of choice. Include how to identify staff for succession and how you would develop them with at least 2 strategies.

Part B: Review of Workforce Plan and Evaluation

Assume that the workforce plan from assessment one has been implemented and in place for 12 months and:

1.

1. Review the workforce plan against patterns in exiting employees and other workforce changes.

2. Conduct a climate survey of at least 10 employees and line managers to gauge their satisfaction in the workplace, and present the survey results.

3. Based on findings for 1 and 2 above, refine objectives and strategies in response to internal and external changes and evaluate the effectiveness of this change process.

4. Identify global trends and incidents which can influence workforce planning in your organisation. Examples may include GFC, climate change, workforce casualisation, major fire, epidemic, etc.

## 2.Partial Differential Equations

1. Inhomogeneous heat equation

Many fruits, such as apples and bananas, generate heat during refrigerated storage. The resulting

increase in temperature can cause browning of the fruit. This problem will model the temperature

within an apple, assumed to be spherical of radius R, as follows:

𝜕𝑢

𝜕𝑡 = [𝐷 (

𝜕

2𝑢

𝜕𝑟

2 +

2

𝑟

𝜕𝑢

𝜕𝑟)] + 𝐺 = [

𝐷

𝑟

2

𝜕

𝜕𝑟 (𝑟

2 𝜕𝑢

𝜕𝑟)] + 𝐺 (1)

where the temperature u(r, t) depends on the radial distance r from the centre of the apple, and the

elapsed time t. G is the constant rate of heat generation (in units of °C/s), and D is the thermal

diffusivity (in units of m2

/s).

Assume that the entire apple is initially at the temperature Ti

, and that it is placed at t = 0

into a refrigerator maintained throughout at a constant temperature of Tref. The boundary conditions

are that the temperature is continuous at the centre of the apple, and that the temperature at the

surface of the apple is always at the refrigerator temperature. Note that this description assumes

implicitly that the temperature is independent of angular position, i.e., that the problem is

spherically symmetrical. Then the term in square brackets in equation (1) is the Laplacian in spherical

coordinates.

The goal is to solve for u(r, t) by the method of separation of variables, which we will do in

several stages.

a) There are two complications in applying separation-of-variables to the problem above: the PDE is

inhomogeneous, because of G, and the boundary condition at r = R is also inhomogeneous. We

address these complications by decomposing u(r, t) into two parts: u(r, t) = v(r, t) + w(r), where w(r)

is the steady-state temperature of the apple, i.e., the temperature reached by the apple at very long

times. Note that w(r) no longer depends on time, but still depends on radial distance, because of the

heat generation G. First, show that w(r) obeys the ordinary differential equation:

0 = [𝐷 (

𝑑

2𝑤

𝑑𝑟

2 +

2

𝑟

𝑑𝑤

𝑑𝑟 )] + 𝐺 = [

𝐷

𝑟

2

𝑑

𝑑𝑟 (𝑟

2 𝑑𝑤

𝑑𝑟 )] + 𝐺 (2)

Note that equation (2) is like equation (1), except that there is no time-dependence.

The boundary conditions for w(r) are clearly similar to that for u(r, t): w(r) is continuous at

the centre of the apple, and at the surface of the apple, w(R) is equal to the refrigerator

temperature. There is, of course, no initial condition for w(r), because it does not depend on time.

Solve for w(r). [Hint: there is an extremely simple approach available.] [20 points]

b) Calculate the problem remaining for v(r, t) by using v(r, t) = u(r, t) – w(r). Formulate both the PDE

and the initial and boundary conditions. You should find that both the PDE and the boundary

condition at r = R are now homogeneous. [10 points]

c) We will now simplify the problem formulated in part (b) for the dependent variable v(r, t). Make

the transformation of the dependent variable v(r, t) into y(r, t) by

2

𝑦(𝑟,𝑡) = 𝑟 ∗ 𝑣(𝑟,𝑡)

in the PDE of part (b). Thus produce the equation:

𝜕𝑦

𝜕𝑡 = 𝐷

𝜕

2𝑦

𝜕𝑟

2

(3)

What are the initial and boundary conditions for y(r, t)? [10 points]

d) The PDE and initial and boundary conditions for y(r, t), which you have found in part (c), are now

in a standard form for the use of the separation-of-variables method. Solve for y(r, t) at any point in

the apple at any time. [35 points]

e) Thus calculate the original temperature u(r, t) at any point in the apple at any time. [5 points]

f) You can now quantify the effect of heat generation on the temperature in the apple, and thus

evaluate whether browning might occur. Given the following values for apples: thermal diffusivity

D = 1.2 x 10-7 m

2

s

-1

, rate of heat generation G = 2.4 x 10-3

°C s-1

, initial apple temperature Ti = 20 °C,

refrigerator temperature Tref = 4 °C, plot the temperature in the apple for various times, using

Matlab. Compare the long-time temperature profile in the apple to that produced for the case of G

= 0 by placing the plots side-by-side. [20 points]

Comment:

The difference between the results in part (f) is due to the heat generation effect. It should now

be clear how difficult it is to prevent the browning of fruit. Food scientists and engineers have

addressed this problem in various ways, which you might want to read about.