Beth plays a video game in which she starts with 0 points. In round 1, she loses 3 points;
1 answer:
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Given the matrix
![\left[\begin{array}{cc}20&30\\15&5\\5&2\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D20%2630%5C%5C15%265%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D%20)
representing the number of thousands of gallons of regular and premium oil sold by the three stations of Tiger oil company and the matrix
![\left[\begin{array}{c}500\\600\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D500%5C%5C600%5Cend%7Barray%7D%5Cright%5D%20)
representing dolloars per thousands of gallons of regular and premium oil sold by Tiger oil company.
T<span>he matrix for total dollar volume of sales using matrix multiplication is given by:
![\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]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D20%2630%5C%5C15%265%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D500%5C%5C600%5Cend%7Barray%7D%5Cright%5D%3D%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D20%28500%29%2B30%28600%29%5C%5C15%28500%29%2B5%28600%29%5C%5C5%28500%29%2B2%28600%29%5Cend%7Barray%7D%5Cright%5D%20%20%5C%5C%20%20%5C%5C%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D10000%2B18000%5C%5C7500%2B3000%5C%5C2500%2B1200%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D28000%5C%5C10500%5C%5C3700%5Cend%7Barray%7D%5Cright%5D)
Therefore, the total dolar </span><span>volume of sales is per thousand of gallons of oil is given by:
![\left[\begin{array}{c}28000\\10500\\3700\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D28000%5C%5C10500%5C%5C3700%5Cend%7Barray%7D%5Cright%5D)
</span>
representing the number of thousands of gallons of regular and premium oil sold by the three stations of Tiger oil company and the matrix
representing dolloars per thousands of gallons of regular and premium oil sold by Tiger oil company.
T<span>he matrix for total dollar volume of sales using matrix multiplication is given by:
Therefore, the total dolar </span><span>volume of sales is per thousand of gallons of oil is given by: