SOLUTION: ok this is a problem on linear programming Superbats makes two kinds of bats. The wallbanger takes 8 hours to trim and turn on and 2 hours to finish. it has a profit of 17 dolla

Question 65474: ok this is a problem on linear programming
Superbats makes two kinds of bats. The wallbanger takes 8 hours to trim and turn on and 2 hours to finish. it has a profit of 17 dollars. the dingbat takes five hours to trim and turn on and 5 hours to finish. it has a profit of 29 dollars. the total time per day available is in 80 hours. there are 50 hours available for finishing. what combination of bats will maximize profit
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Superbats makes two kinds of bats.
The wallbanger takes 8 hours to trim and turn on and 2 hours to finish. it has a profit of 17 dollars.
the dingbat takes five hours to trim and turn on and 5 hours to finish. it has a profit of 29 dollars.
the total time per day available is in 80 hours.
there are 50 hours available for finishing.
Comment: This combination of hours may be incorrect.
It implies 50 hrs for finishing and 30 hours for trim and turn.
The result is an indeterminate solution area as you can see
below.
-------------------------
what combination of bats will maximize profit
-----------------------
Let w be the # of wallbangers produced
Let d be the # of dingbats produced
w>=0 ; d>=0
Trim/turn Equation: 8w+5d<=80-50=30
Finish Equation: 2w+5d<=50
Profit Equation: P=17w+29d
=======================================
Solve each inequality for w, as follows:
w<=(-5/8)d+15/4
w<=(-5/2)d+25
==============================
Graph the inequalities in the 1st quadrant:

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No solution is possible with this data.
Cheers,
Stan H.

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