The cost per hour for baking and decorating is given by the matrix below.Which product does it cost 6.50 to bake and decorate 1 unit? cost/hr baking decorating (} 4 7 ) a. 3-tired cake c.giant cookie b. sheet cake Please select the best answer from the choices provided A B c

To find the product that costs $6.50 to bake and decorate 1 unit, we need to multiply the given matrix by the vector representing the quantities of each product.<br /><br />Let's denote the matrix as A and the vector representing the quantities of each product as x.<br /><br />A = $\begin{pmatrix} 4 \\ 7 \end{pmatrix}$<br /><br />x = $\begin{pmatrix} x_1 \\ x_2 \end{pmatrix}$<br /><br />We want to find the value of x that satisfies the equation Ax = 6.50.<br /><br />Multiplying the matrix A by the vector x, we get:<br /><br />$\begin{pmatrix} 4 \\ 7 \end{pmatrix} \begin{pmatrix} x_1 \\ x_2 \end{pmatrix} = \begin{pmatrix} 4x_1 \\ 7x_2 \end{pmatrix}$<br /><br />We want this to be equal to the vector representing the cost of $6.50:<br /><br />$\begin{pmatrix} 4x_1 \\ 7x_2 \end{pmatrix} = \begin{pmatrix} 6.50 \end{pmatrix}$<br /><br />Solving for x, we get:<br /><br />4x1 + 7x2 = 6.50<br /><br />We need to find the values of x1 and x2 that satisfy this equation. Since we don't have enough information to solve for both variables, we need to check the given options.<br /><br />Looking at the options, we can see that the sheet cake is the only one that has a cost of $6.50. Therefore, the answer is B.