Transportation Problems

Assignment I  (Part – B)

Q1.      Solve the following Transportation Problem by Lowest Cost Entry/Least Cost Method/Matrix Minima Method

Plants		Warehouse
		W1	W2	W3	Supply
	P1	7	6	9	20
	P2	5	7	3	28
	P3	4	5	8	17
	Demand	21	25	19	65

Answer: 300

Q2.      Solve the following Transportation Problem by Lowest Cost Entry/Least Cost Method/Matrix Minima Method

Factory		Warehouse
		A	B	C	Availability
	F1	50	30	220	1
	F2	90	45	170	3
	F3	250	200	50	4
	Requirement	3	3	2	8

Answer: 810

Q3.      Solve the following Transportation Problem by Lowest Cost Entry/Least Cost Method/Matrix Minima

Plants		Warehouse
		W1	W2	W3	Supply
	P1	50	30	220	41
	P2	90	45	170	13
	P3	250	200	50	4
	Demand	13	23	22	58

Answer: 4,850

Q4.      Solve the following Transportation Problem by Lowest Cost Entry/Least Cost Method/Matrix Minima

	D1	D2	D3	D4	Supply
Q1	1	2	4	4	8
Q2	4	3	2	0	6
Q3	0	2	2	1	10
Demand	4	6	8	6	24

Answer: 32

Q5.      Solve the following Transportation Problem by Lowest Cost Entry/Least Cost Method/Matrix Minima           

	D1	D2	D3	D4	D5	Supply
Q1	3	4	6	8	8	20
Q2	2	10	0	5	8	30
Q3	7	11	20	40	3	15
Q4	1	0	9	14	16	13
Demand	40	6	8	18	6	78

Answer: 534

Q6.      Find the initial basic feasible solution by Least Cost Method.

	W1	W2	W3	W4	Supply
F1	48	60	56	58	140
F2	45	55	53	60	260
F3	50	65	60	62	360
F4	52	64	55	61	220
Demand	210	320	250	210

Answer: F₁W₄ =140, F₂W₁=200 F₂W₃=60,

F₃W₂= 320_, F₃W₄=40,                F₄W₃=190, F₄W₄=30

Q7.      Find the initial basic feasible solution by Least Cost Method.

	W1	W2	W3	Supply
F1	48	60	56	140
F2	45	55	53	260
F3	50	65	60	360
F4	52	64	55	220
Demand	210	320	250

Q8.      Find the initial basic feasible solution by Least Cost Method.

	W1	W2	W3	W4	Supply
F1	48	60	56	58	140
F2	45	55	53	60	260
F3	50	65	60	62	360
Demand	210	320	250	210

Q9.      Consider the following transportation problem and solve by applying Least Cost Method

	W1	W2	W3	Supply
F1	4	3	2	10
F2	5	6	1	8
F3	6	4	3	5
F4	3	5	4	6
Demand	7	12	5

Answer: 71