A furniture factory has 4050 machine hours available each week in the cutting department, 1470 hours in the assembly department, and 2230 in the finishing department. Manufacturing a chair requires 0.6 hour of cutting, 0.5 hour of assembly, and 0.1 hour of finishing. A cabinet requires 0.8 hour of cutting, 0.1 hour of assembly, and 0.3 hour of finishing. A buffet requires 0.5 hour of cutting, 0.1 hour of assembly, and 0.7 hour of finishing. How many chairs, cabinets, and buffets should be produced in order to use all the available production capacity? Write a linear system of equations. Let x represent the number of chairs created, y represent the number of cabinets created, and z represent the number of buffets created. Choose the correct answer below. O A. 0.5x + y + 0.6z = 4050 O B. 0.6x + 0.7y + 0.3z =4050 0.1x + 0.5y + 0.1z=2230 0.5x + 0.6y + 0.1z =2230 0.1x + 0.3y + z=1470 0.1x + 0.5y + 0.8z =1470 O C. 0.6x + 0.8y +0.5z=1470 OD. 0.6x + 0.8y + 0.5z =4050 0.5x + 0.1y + 0.1z =2230 0.5x + 0. 1y +0.1z=1470 0.1x + 0.3y + 0.7z =4050 0.1x + 0.3y + 0.7z=2230 The furniture company should produce chairs, cabinets, and buffets