A company manufactures two types of appliances, manual and electric. Each of them requires the use of three machine centers A, B, and C in its manufacture. A manual artifact requires 3 hours of machine center A, one hour of machine center B and 1 hour of machine center C. An electrical appliance requires 2 hours from machine center A, 2 hours from machine center B and 1 hour from machine center C. The maximum number of hours available per month for the use of machine centers is 24 hours per day for A, 16 hours for B and 9 hours for C. The profit obtained with manual appliances is $500 and $350 for electric ones. If the company sells all the gadgets it makes, how many of each type should be made in order to maximize daily profit?
Correct formulation 10 points, correct graph 5 points, correct solution 5 points.