A clothing manufacturer has factories in Altanta Chicago and

A clothing manufacturer has factories in Altanta, Chicago, and New York, Sales (in thousands) during the first quater are summarized in the matrix below. During this period, the selling price of a cost was dollar 125, of a shirt dollar 50, of a pair of pants dollar 50, and of a tie dollar 25. Use matrix multiplication to find the total revenue received by each factory. Atlanta dollar13,100,000; Chicago dollar 11,300,000; New Yoric dollar6,750,000; Atlanta dollar9,725,000; Chicago dollar11,825,000; New York dollar4,950,000; Atlanta dollar13,100; Chicago dollar11,300; New York dollar6,750; Atlanta dollar9,723; Chicago dollar11.825; New York dollar4,950; Atlanta dollar975,000; Chicago dollar1,157,500; New York dollar495,000.

Solution

Cost matrix is column matrix : [125 , 50 , 50 , 25]

Now multiply given matrix with the above column matrix...

Atlanta :
40*125 + 85*50 + 6*50 + 7*25
= 9725
Notice the sales is in thousands....
So, atlanta\'s is 9725000

Chicago :
63*125 + 56*50 + 18*50 + 10*25
11825000

New York :
18*125 + 42*50 + 8*50 + 8*25
4950000

So, option B ----> ANSWER