Tracksaws, Inc. makes tractors and lawn mowers. The firm makes a profit of $30 on each
tractor and $30 on each lawn mower, and they sell all they can produce. The time
requirements in the machine shop, fabrication, and tractor assembly are given in the table.
Tractor
Lawn Mower
I-Irs.Available
Machine Shop
2 hours
1 hour
60 hours
Fabrication
2 hours
3 hours
120 hours
Assembly
1 honr
o honr
45 hours
Formulation:
Let
x = number of tractors produced per period
y = number of lawn mowers produced per period
graphical solution is shown below.
70 •..-- ....
----
..-.---------.-------.-
70
~i.U~iI-'7
16) How many tractors ant saws should be produced to maximize profit, and how much
profit will they make?
17) What is the formulation for this problem?