In: Advanced Math
A furniture factory has 2230 machine hours available each week in the cutting department, 1470 hours in the assembly department, and 2960 in the finishing department. Manufacturing a chair requires 0.3 hours of cutting, 0.5 hours of assembly, and 0.6 hours of finishing. A cabinet requires 0.8 hours of cutting, 0.3 hours of assembly, and 0.1 hours of finishing. A buffet requires 0.2 hours of cutting, 0.1 hours of assembly, and 0.9 hours of finishing. How many chairs, cabinets, and buffets should be produced in order to use all the available production capacity?
Please help and provide step by step so I can learn how to do this! Thank you :)