Question

The Thor International Company operates four factories that ship products to five warehouses. The shipping​ costs, requirements, and capacities are shown in the tableau below. Use the transportation method to find the shipping schedule that minimizes shipping cost.

A). The minimum shipping cost is $______ ​(Enter your response as a whole​ number.)

Shipping cost per Case to each Warehouse

FACTORY	W1	W2	W3	W4	W5	DUMMY	CAPACITY
F1	$3	$4	$3	$2	$5	$0	50,000
F2	$2	$3	$3	$4	$6	$0	80,000
F3	$2	$3	$4	$2	$4	$0	90,000
F4	$3	$5	$4	$5	$2	$0	40,000
DEMAND	45,000	30,000	30,000	$45,000	$50,000	$60,000	260,000

Answer 1

answer-

FACTORY	W1	W2	W3	W4	W5	DUMMY	CAPACITY
F1	$3	$4	$3	$2	$5	$0	50,000
F2	$2	$3	$3	$4	$6	$0	80,000
F3	$2	$3	$4	$2	$4	$0	90,000
F4	$3	$5	$4	$5	$2	$0	40,000
DEMAND	45,000	30,000	30,000	$45,000	$50,000	$60,000	260,000

i use the North west corner method to do this-

FACTORY	W1	W2	W3	W4	W5	DUMMY	CAPACITY
F1	$3(45000)	$4(5000)	$3(0)	$2(0)	$5(0)	$0(0)	50,000=5000=0
F2	$2(0)	$3(25000)	$3(30000)	$4(25000)	$6(0)	$0(0)	80,000=55000=25000=0
F3	$2(0)	$3(0)	$4(0)	$2(20000)	$4(50000)	$0(20000)	90,000=70000=20000=0
F4	$3(0)	$5(0)	$4(0)	$5(0)	$2(0)	$0(40000)	40,000=0
DEMAND	45,000=0	30,000=25000=0	30,000=0	$45,000=20000=0	$50,000=0	$60,000=40000=0	260,000

total cost=

3*45000+4*5000+3*25000+3*30000+4*25000+2*20000+4*50000+0*20000+0*40000

660000

I used the NWC transportation method.