Radiant wants to hire planes to transport three types of goods- A, B, and C. The
ID: 423175 • Letter: R
Question
Radiant wants to hire planes to transport three types of goods- A, B, and C. They contacted VIP Transportation Company to hire Cargo planes. VIP informed that they can provide two types of Cargo Planes. In addition they provided the following Weight related information about the two types Cargo planes- WT88 and BH54:
Goods A
Goods B
Goods C
WT88 Can carry
20 tons
10 tons
20 tons
BH54can carry
25 tons
20 tons
15 tons
Radiant has to transport 100 tons of Goods A, 100 tons of Goods B, and 100 tons of Goods C. VIP charges $2000 for each WT88 and $3000 for BH54. Under the above circumstances, find out the following:
A) What will be the minimum cost to transfer the required goods?
B) How many of WT88 and BH54 Radiant should hire?
Please, Please do not use excel to solve this problem.
THanks
Goods A
Goods B
Goods C
WT88 Can carry
20 tons
10 tons
20 tons
BH54can carry
25 tons
20 tons
15 tons
Explanation / Answer
Sol. A) Minimum cost to transfer the goods.
Goods to be transported
Goods A= 100 tons
Goods B= 100 tons
Goods C= 100 tons
Total number of combination can be used to send goods will be 23=8 ie 8 cases or combination of carriers.
Goods . A B . C
Case1 WT WT BH ., i.e 100/20*2000 + 100/10*2000 + 100/15*3000 = 50,000. Similarly
Case2 WT BH WT. i.e 100/20*2000 + 100/20*3000 + 100/20*2000 = 35000.
Case 3 WT BH BH . ie 100/20*2000 + 100/20*3000 + 100/15*3000 = 45000.
case 4 BH WT WT . ie 100/25*3000 + 100/10*2000 + 100/20*2000 = 42000.
case 5 BH BH WT . ie 100/25*3000 + 100/20*3000 + 100/20*2000 = 37000.
Case 6BH BH BH . 1.e 100/25*3000 + 100/20*3000 + 100/15*3000 = 47000.
Case 7 WT WT WT ie 100/20*2000 + 100/10*2000 + 100/20*2000 = 40000.
Case 8 BH WT BH ie 100/25*3000 + 100/10*2000 + 100/15* 3000 = 52000.
Hence using case 2. Minimum cost for sending cargo will be 35000$
Sol B). Number of carrier to be hired will be
WT88 = 10 ie 100/20 for goods A + 100/20 for Goods C
BH54 = 5 ie 100/20 for goods B
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