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The Following Tables Give Annual Production Costs and Profits at Gauss

Question 155

Multiple Choice

The following tables give annual production costs and profits at Gauss Jordan Sneakers.
 Production costs 200120022003 Gauss Grip $1,100$2,700$3,500 Air Gauss $1,000$1,800$2,900 Gauss Gel $1,900$2,800$1,200 Profits 200120022003 Gauss Grip $17,000$13,000$24,000 Air Gauss $8,000$16,000$13,000 Gauss Gel $6,000$12,000$20,000\begin{array}{l}\begin{array} { | l | l | l | l | } \hline \text { Production costs } & \mathbf { 2 0 0 1 } & \mathbf { 2 0 0 2 } & \mathbf { 2 0 0 3 } \\\hline \text { Gauss Grip } & \$ 1,100 & \$ 2,700 & \$ 3,500 \\\hline \text { Air Gauss } & \$ 1,000 & \$ 1,800 & \$ 2,900 \\\hline \text { Gauss Gel } & \$ 1,900 & \$ 2,800 & \$ 1,200 \\\hline\end{array}\\\\\begin{array} { | l | l | l | l | } \hline \text { Profits } & \mathbf { 2 0 0 1 } & \mathbf { 2 0 0 2 } & \mathbf { 2 0 0 3 } \\\hline \text { Gauss Grip } & \$ 17,000 & \$ 13,000 & \$ 24,000 \\\hline \text { Air Gauss } & \$ 8,000 & \$ 16,000 & \$ 13,000 \\\hline \text { Gauss Gel } & \$ 6,000 & \$ 12,000 & \$ 20,000 \\\hline\end{array}\end{array}
Write the matrix algebraic formula to compute the revenues from each sector each year.


A) [1,1002,7003,5001,0001,8002,9001,9002,8001,200]+[15,90010,30020,5007,00014,20010,1004,1009,20018,800]=[17,00013,00024,0008,00016,00013,0006,00012,00020,000]\left[ \begin{array} { l l l } 1,100 & 2,700 & 3,500 \\1,000 & 1,800 & 2,900 \\1,900 & 2,800 & 1,200\end{array} \right] + \left[ \begin{array} { c c c } 15,900 & 10,300 & 20,500 \\7,000 & 14,200 & 10,100 \\4,100 & 9,200 & 18,800\end{array} \right] = \left[ \begin{array} { c c c } 17,000 & 13,000 & 24,000 \\8,000 & 16,000 & 13,000 \\6,000 & 12,000 & 20,000\end{array} \right]

B) [18,10013,00027,5009,00017,80015,9007,90014,80021,200][17,00013,00024,0008,00016,00013,0006,00012,00020,000]=[1,1002,7003,5001,0001,8002,9001,9002,8001,200]\left[ \begin{array} { r r r } 18,100 & 13,000 & 27,500 \\9,000 & 17,800 & 15,900 \\7,900 & 14,800 & 21,200\end{array} \right] - \left[ \begin{array} { c c c c } 17,000 & 13,000 & 24,000 \\8,000 & 16,000 & 13,000 \\6,000 & 12,000 & 20,000\end{array} \right] = \left[ \begin{array} { l l l } 1,100 & 2,700 & 3,500 \\1,000 & 1,800 & 2,900 \\1,900 & 2,800 & 1,200\end{array} \right]

C) [17,00013,00024,0008,00016,00013,0006,00012,00020,000][1,1002,7003,5001,0001,8002,9001,9002,8001,200]=[15,90010,30020,5007,00014,20010,1004,1009,20018,800]\left[ \begin{array} { c c c } 17,000 & 13,000 & 24,000 \\8,000 & 16,000 & 13,000 \\6,000 & 12,000 & 20,000\end{array} \right] - \left[ \begin{array} { l l l } 1,100 & 2,700 & 3,500 \\1,000 & 1,800 & 2,900 \\1,900 & 2,800 & 1,200\end{array} \right] = \left[ \begin{array} { c c c } 15,900 & 10,300 & 20,500 \\7,000 & 14,200 & 10,100 \\4,100 & 9,200 & 18,800\end{array} \right]

D) [1,1002,7003,5001,0001,8002,9001,9002,8001,200]+[17,00013,00024,0008,00016,00013,0006,00012,00020,000]=[18,10015,70027,5009,00017,80015,9004,10014,80021,200]\left[ \begin{array} { l l l } 1,100 & 2,700 & 3,500 \\1,000 & 1,800 & 2,900 \\1,900 & 2,800 & 1,200\end{array} \right] + \left[ \begin{array} { c c c } 17,000 & 13,000 & 24,000 \\8,000 & 16,000 & 13,000 \\6,000 & 12,000 & 20,000\end{array} \right] = \left[ \begin{array} { c c c } 18,100 & 15,700 & 27,500 \\9,000 & 17,800 & 15,900 \\4,100 & 14,800 & 21,200\end{array} \right]

E) [17,00013,00024,0008,00016,00013,0006,00012,00020,000][15,90010,30020,5007,00014,20010,1004,1009,20018,800]=[1,1002,7003,5001,0001,8002,9001,9002,8001,200]\left[ \begin{array} { c c c c } 17,000 & 13,000 & 24,000 \\8,000 & 16,000 & 13,000 \\6,000 & 12,000 & 20,000\end{array} \right] - \left[ \begin{array} { c c c } 15,900 & 10,300 & 20,500 \\7,000 & 14,200 & 10,100 \\4,100 & 9,200 & 18,800\end{array} \right] = \left[ \begin{array} { l l l } 1,100 & 2,700 & 3,500 \\1,000 & 1,800 & 2,900 \\1,900 & 2,800 & 1,200\end{array} \right]

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