代做MAN6927 Problem 1: Transportation network planning Assignment 3 S2 2024代写留学生Matlab程序

日期：2024-10-30 07:01

MAN6927

Problem 1: Transportation network planning (8 marks)

GoodsWest is a manufacturing company headquartered in Western Australia. It has five plants which serve different states. Tables 1-3 show the necessary data on the fixed cost of operating plants and the variable manufacturing and transportation costs.

Table  1. Fixed  cost of operating  plants  and their annual  production capacity

Plant	Fixed cost (AUD)	Annual capacity (units)
P1	30,000	3,000
P2	20,000	3,000
P3	15,000	2,000
P4	25,000	2,500
P5	30,000	3,500

Table 2. Annual demand at each market (units)

Market	WA	NT	QLD	NSW	VIC	ACT	SA	TAS	Asia
Demand	3000	1000	1500	1300	1500	350	1500	850	2000

Table 3. Transportation cost of every unit (AUD)

	WA	NT	QLD	NSW	VIC	ACT	SA	TAS	Asia
P1	10	10	20	35	14	30	20	25	10
P2	25	15	10	25	20	25	15	25	20
P3	35	10	25	20	25	20	25	25	20
P4	15	15	12	15	20	20	15	15	25
P5	20	15	20	25	15	30	30	20	15

Note 1: Every question is independent of the previous ones. It means that to answer each question, suppose that it is the only question.

Note 2. Explain your findings for each question in simple terms.

1.    How many products should be transported from each manufacturer to each market to minimise the total cost for GoodsWest?

2.    What is the total cost for GoodsWest in the optimal situation?

3.    From  Australian  markets,  WA, VIC,  and SA  want  to  be  single-sourced.  What  are  the  optimal transportation quantities and the total cost in this case?

4.    Due  to   the   recent  changes,  demand  in  TAS   has  increased to  1200  and  Asian  demand  has decreased to 1500. What is the optimal transportation planning in this case? Which plant should be closed to minimise the total cost?

5.    GoodsWest  is  considering  feeding the Asian  market just  from  P4  and  P5.  What  are  the  cost implications of this decision?