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Calculus/simplex algorithm

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Expert: - 3/24/2008


Question
I need to find the inequalities that must be satisfied.

A furniture-finishin plant finishes two kind of tables A and B,
Table A requiers 8 minutes of stainin and 9 minutes of vanishing,
whereas table B requirs 12 minutes of stainin and 6 minutes of
varnishing. The staining facility is available at most 480 minutes
per day and the varnishing facility is available at most 360 minutes
per day. The plant has to finish at least as many B tables as half
the number of A tables. The profit is $5 on each A table and $3 on
each B table. Find the maximum profit for the plant.

Answer
The profit equation is given by 5A + 3b.
The two constraints are
8A + 12B <=480 and
9A + 6B <= 360.
It is a standard assumption that A>=0 and B>=0.

That should be enought to construct the simplex tableau and solve the problem.  If not, once the equations are written down, input A first and then see if any B can be added.

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