Question is in the description because it was to big

Question

A furniture factory has 2610 machine hours available each week in the cutting department, 2650 hours in the assembly department, and 2210 in the finishing department. Manufactoring a chair requires .3 hours of cutting, .6 hours of assembly, and .2 hours of finishing. A cabinet requires .7 hours of cutting, .4 hours of assembly, and .1 hours of finishing. A buffet requires .4 hours of cutting, .5 hours of assembly, and .9 hours of finishing. How many chairs, cabinets, and buffets shouLd be produced in order to use all available production capacity ?

Answer 1

Let x,y,z be number of chairs, cabinets and buffets.

 

Then in terms of cutting hours:

.3x+.7y+.4z<=2610

assembly hours:

.6x+.4y+.5z<=2650

finishing hours:

.2x+.1y+.9z<=2210

 

You could do this by hand by eliminating the x variable but I suspect you have many of these problems in your assignment. After plugging into Excel Solver:

x=1500

y=2000

z=1900