# 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.

 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