Solve the problem.
-Your screen print operation is doing extremely well at the craft shows. Last week you sold 50 tie-dyed shirts for $15 each, 40 Cheraw-Tech crew shirts for $10 each and 30 handpainted T-shirts for $12 each. Use matrix
Operations to calculate your total revenue for the week.
A) $1480
B) $1510
C) $1151
D) $1750

Question

Quizplus · Accepted Answer

Let's represent the number of each type of shirt sold as a matrix:

$$\begin{bmatrix}50\40\30\end{bmatrix}$$

We can also represent the price of each type of shirt as a matrix:

$$\begin{bmatrix}15\10\12\end{bmatrix}$$

To calculate the total revenue, we can use matrix multiplication. However, since we need to multiply the price matrix with the number of shirts matrix, we need to transpose the number of shirts matrix first:

$$\begin{bmatrix}50 & 40 & 30\end{bmatrix}$$

Now, we can multiply the two matrices:

$$\begin{bmatrix}15&10&12\end{bmatrix} \cdot \begin{bmatrix}50 & 40 & 30\end{bmatrix} = \begin{bmatrix} 750+400+360\end{bmatrix} = \begin{bmatrix}1510\end{bmatrix}$$

This means the total revenue for the week was $1510. Therefore, the best choice is B.

Solve the Problem. -Your Screen Print Operation Is Doing Extremely Well at the Well