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a florist makes three special flower arrangements. one uses three lilie…

Question

a florist makes three special flower arrangements. one uses three lilies. the second uses five lilies and two carnations. the third uses five daisies and two carnations. lilies cost $2.25 each, carnations cost $0.90 each, and daisies cost $1.20 each. complete parts (a) through (c) below.
(a) write a matrix to show the number of each type of flower in each arrangement.
lilies carnations daisies
arrangement 1
arrangement 2
arrangement 3
(b) write a matrix to show the cost of each type of flower.
(type integers or decimals.)

Explanation:

Step1: Identify flower types and costs

There are three types of flowers: lilies, carnations, daisies. Their costs are $2.25$, $0.90$, $1.20$ respectively.

Step2: Form the matrix

The matrix should have one column (since it's a column - vector representing costs of different flower types). The first row is the cost of lilies, the second row is the cost of carnations, and the third row is the cost of daisies.

The matrix is \(

$$\begin{bmatrix}2.25\\0.90\\1.20\end{bmatrix}$$

\)

Answer:

\(

$$\begin{bmatrix}2.25\\0.90\\1.20\end{bmatrix}$$

\)