Your T-shirt operation is doing a booming trade. Last week you sold 60 tie-dyed shirts for $17 each, 75 Suburban State University crew shirts for $8 each, and 30 lacrosse T-shirts for $11 each. Use matrix operations to calculate your total revenue for the week.
A)$1,940
B) $1,945
C) $1,965
D) $1,920
E) $1,950

Question

Your T-shirt operation is doing a booming trade. Last week you sold 60 tie-dyed shirts for $17 each, 75 Suburban State University crew shirts for $8 each, and 30 lacrosse T-shirts for $11 each. Use matrix operations to calculate your total revenue for the week. ​
A)$1,940
B) $1,945
C) $1,965
D) $1,920
E) $1,950

Quizplus · Accepted Answer

To calculate the total revenue, you can use matrix multiplication where one matrix represents the quantity of each type of shirt sold and the other matrix represents the price of each type of shirt. The calculation is as follows:$$ \begin{bmatrix} 60 & 75 & 30 \end{bmatrix} \times \begin{bmatrix} 17 \ 8 \ 11 \end{bmatrix} = (60 \times 17) + (75 \times 8) + (30 \times 11) = 1020 + 600 + 330 = 1950 $$Therefore, the total revenue for the week is $1,950.

Your T-Shirt Operation Is Doing a Booming Trade