Write a system of linear equations in three variables, and then use matrices to solve the system.
-A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A tree takes 15 hours to prepare, 3 hours to paint, and 4
Hours to fire. A sleigh takes 4 hours to prepare, 16 hours to paint, and 7 hours to fire. If the workshop has
93 hours for prep time, 74 hours for painting, and 107 hours for firing, how many of each can be made?
A)7 wreaths; 4 trees; 3 sleighs
B)4 wreaths; 3 trees; 7 sleighs
C)3 wreaths; 7 trees; 4 sleighs
D)8 wreaths; 5 trees; 4 sleighs

Question

Quizplus · Accepted Answer

The system of linear equations based on the given information is:- For preparation time: $3w + 15t + 4s = 93$- For painting time: $2w + 3t + 16s = 74$- For firing time: $10w + 4t + 7s = 107$Solving this system using matrices (or any other method), we find that the workshop can make 7 wreaths, 4 trees, and 3 sleighs.

Write a System of Linear Equations in Three Variables, and Then