Complete these activities. Consider the following information from Tiger Oil Company: By multiplying matrices, calculate the matrix for total dollar volume of sales.

Given the matrix

[tex] \left[\begin{array}{cc}20&30\\15&5\\5&2\end{array}\right] [/tex]

representing the number of thousands of gallons of regular and premium oil sold by the three stations of Tiger oil company and the matrix

[tex] \left[\begin{array}{c}500\\600\end{array}\right] [/tex]

representing dolloars per thousands of gallons of regular and premium oil sold by Tiger oil company.

The matrix for total dollar volume of sales using matrix multiplication is given by:

[tex] \left[\begin{array}{cc}20&30\\15&5\\5&2\end{array}\right] \left[\begin{array}{c}500\\600\end{array}\right]= \left[\begin{array}{c}20(500)+30(600)\\15(500)+5(600)\\5(500)+2(600)\end{array}\right] \\ \\ = \left[\begin{array}{c}10000+18000\\7500+3000\\2500+1200\end{array}\right] =\left[\begin{array}{c}28000\\10500\\3700\end{array}\right][/tex]

Therefore, the total dolar volume of sales is per thousand of gallons of oil is given by:

[tex]\left[\begin{array}{c}28000\\10500\\3700\end{array}\right][/tex]