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Thursday, October 30, 2008

Matrix competition group 2 (Lediana)

A fashion factory produces clothes in 4 types and delivers them to three shops. the types of the clothes are dresses (d), T-shirt (T) pants (p) and skirt (S)

Giordano receives 15 of (d), 30 of (T), 10 of (p), 8 of (s)
Hang ten receives 20 of (d), 35 of (T), 12 of (p), 10 of (s)
Baleno receives of 18 (d), 40 of (T), 15 of (p), 6 of (s)

The cost of one dress, T-shirt, pant and skirt are $14.00, $8.00, $16.00 and $13.00 respectively. They made deliveries to each store in one week. Giordano has 5 deliveries, Hang ten has 8 deliveries, and Baleno has 11 deliveries.

(i). Write down two matrices, such that the elements of their product, under matrix multiplication will give the cost of the clothes delivered to each store per delivery. Find the product of these matrices.

(ii). Write down two matrices such that the elements of their product under matrix multiplication, will give the total number of clothes of each type leaving the factory in one week. obtain the product and write down the total number of clothes supply by the factory in one week time.

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