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Problem 3 (30 Points) Express the following systems of equations in matrix form, then solve each system using matrix operations A) (assume a, B, and y are constants) _ai_ = 0.4 B)0.6 X1 +X2 Problem 4 (25 Points) Represent the following word problem as a system of linear equations, then solve the problem using any technique taught in class. A furniture manufacturing company makes tables, chairs, and stools. Each table requires 100 board-feet of plywood and 12 labor hours and profits S100 per unit. Each chair requires 60 board-feet of plywood and 10 labor hours and profits S50 per unit. Each stool requires 25 board feet of plywood and 5 hours of labor and profits S30 per unit. If the furniture company used 2,300 board-feet of plywood and 356 labor hours and made a profit of S2,160, how many of each product did the furniture manufacturing company make?
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