A corporation has four factories,each of which manufactures sport utility vehicles and pickup trucks.The number of units of vehicle i produced at factory j in one day is represented by a_ij in the matrix $$A = \left[ \begin{array} { c c c c } 90 & 100 & 80 & 50 \ 100 & 100 & 70 & 50 \end{array} \right]$$ . Find the production levels if production is increased by 10%. A) $$\left[ \begin{array} { c c c c } 99 & 110 & 88 & 55 \ 110 & 110 & 77 & 55 \end{array} \right]$$ B) $$\left[ \begin{array} { l l l l } 113 & 110 & 88 & 55 \ 110 & 110 & 77 & 55 \end{array} \right]$$ C) $$\left[ \begin{array} { l l l l } 118 & 110 & 88 & 55 \ 110 & 110 & 77 & 55 \end{array} \right]$$ D) $$\left[ \begin{array} { l l l l } 123 & 110 & 88 & 55 \ 110 & 110 & 77 & 55 \end{array} \right]$$ E) $$\left[ \begin{array} { l l l l } 128 & 110 & 88 & 55 \ 110 & 110 & 77 & 55 \end{array} \right]$$

Question

Quizplus · Accepted Answer

Increasing each element of the matrix by 10% means multiplying each element by 1.1. Doing this calculation for each element in the given matrix $$A$$ results in the matrix given in option A.

A Corporation Has Four Factories,each of Which Manufactures Sport Utility A=[9010080501001007050]A = \left[ \begin{array} { c c c c } 90 & 100 & 80 & 50 \\100 & 100 & 70 & 50\end{array} \right]A=[90100​100100​8070​5050​]

A Corporation Has Four Factories,each of Which Manufactures Sport Utility $A = \left[ \begin{array} { c c c c } 90 & 100 & 80 & 50 \\100 & 100 & 70 & 50\end{array} \right]$