Question

a florist makes three special flower arrangements. one uses three lilies. the seco carnations cost $0.80 each, and daisies cost $1.20 each. complete parts (a) throu (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 the cost of each flower

Lilies cost is not given in the problem description. But since we are to make a matrix for the cost of each type of flower (Lilies, Carnations, Daisies), and we know Carnations cost $0.80 each and Daisies cost $1.20 each. Let's assume the cost of lilies is not relevant here (maybe a typo in problem statement, but following the order of Lilies - Carnations - Daisies).

Step2: Form the matrix

The matrix for the cost of each type of flower (with rows as flower types: Lilies, Carnations, Daisies) is a column matrix.

Answer:

$$\begin{bmatrix} \text{Cost of Lilies (assume if needed)}\\ 0.80\\ 1.20 \end{bmatrix}$$

If we assume the cost of lilies is not given (maybe an error in problem setup where only Carnations and Daisies costs are provided but the matrix is for three types), if we follow the order of Lilies - Carnations - Daisies and we have no value for lilies (but if we consider the problem might have missed it, but based on given data: Carnations $0.80$, Daisies $1.20$). If we assume lilies cost is $x$ (but since no data, if we follow the problem's data for Carnations and Daisies and assume the matrix is for three types with maybe a formatting error, but if we go by the given costs:

$$\begin{bmatrix} 0\\ 0.80\\ 1.20 \end{bmatrix}$$

(assuming lily cost is $0$ as no data is given for it in the problem description other than "carnations cost $0.80$ each, and daisies cost $1.20$ each")