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Matrix addition – Refinery Oil Distribution










































An oil refinery in Terengganu sent 215,500 liters of oil to distributors in Johor, 65,200 liters to Malacca and 130,400 liters to Penang. Another refinery in Kuching sent 195,500 liters, 90,300 and 252,100 liters to the same distributors in the month of January. The next month’s delivery from Terengganu and Kuching to the same distributors are 202,100 , 176,300 and 282,400 ; 190,300 , 305,100 and 408,000 respectively.
(i) write the shipments in January and February from the 2 refineries to the distributors in the 3 states as matrices, respectively.
(ii) Use matrix addition to find the total amounts sent to the distributors from the refineries.

Comments for Matrix addition – Refinery Oil Distribution

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Sep 22, 2012
Matrix addition
by: Staff

Answer:

(i) write the shipments in January and February from the 2 refineries to the distributors in the 3 states as matrices, respectively.





January Shipments
Johor Malacca Penang

Terengganu 215,500 65,200 130,400
Kuching 195,500 90,300 252,100


Matrix J = January





│ 215,500 65,200 130,400 │
J = │ │
│ 195,500 90,300 252,100 │





February Shipments
Johor Malacca Penang

Terengganu 202,100 176,300 282,400
Kuching 190,300 305,100 408,000



Matrix F = February



│ 202,100 176,300 282,400 │
F = │ │
│ 190,300 305,100 408,000 │





(ii) Use matrix addition to find the total amounts sent to the distributors from the refineries.

January + February = J + F




│ 215500 65200 130400 │ │ 202100 176300 282400 │
J + F = │ │ + │ │
│ 195500 90300 252100 │ │ 190300 305100 408000 │




│ 215500+202100 65200+176300 130400+282400 │
J + F = │ │
│ 195500+190300 90300+305100 252100+408000 │




│ 417600 241500 412800 │
J + F = │ │
│ 385800 395400 660100 │





January + February Shipments
Johor Malacca Penang

Terengganu 417,600 241,500 412,800
Kuching 385,800 395,400 660,100





Thanks for writing.

Staff
www.solving-math-problems.com

Oct 10, 2012
J+F has an error
by: Annoymous

Dear Staff,

How come your J+F where J matrix second row figures is the same as F second row figures? Is there a typing error?

Oct 10, 2012
Error Correction
by: Staff


Hello Anonymous,

Thanks for pointing out the error.

It has been corrected.



Thanks for writing.

Staff
www.solving-math-problems.com


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