Question

A radio station has three types of promotional items; Cds, hats and flying disks. Cd's are worth $4.50, hats are worth $3.25, and flying disks are worth $1.25. They have given away 11 CDs, 26 hats, and 53 flying disks. Organize the information using matrices. Then use matrix multiplication to find the station's cost for the promotional items.

Answer 1

`\$200.25`

Explanation:

Cost of 1 CD's
`=\$4.50`

Cost of 1 Hat
`=\$3.25`

Cost of 1 flying disk
`=\$1.25`

Number of CD's = 11

Number of hats = 26

Number of flying disks = 53

Station's cost for the promotional items is calculated as follows:
`\left[\begin{array}{ccc}4.50&3.25&1.25\end{array}\right] \left[\begin{array}{ccc}11\\26\\53\end{array}\right]=4.50(11)+3.25(26)+1.25(53)\\\\=49.5+84.5+66.25\\\\=\$200.25`