SOLUTION: maximize P = 6x = 3y
subject to:
material 20x + 5y <= 600lbs.
machinery 25x + 20y <= 1000 hrs
labor 20x + 30y <= 1200hrs
x, y > 0
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Question 1192160: maximize P = 6x = 3y
subject to:
material 20x + 5y <= 600lbs.
machinery 25x + 20y <= 1000 hrs
labor 20x + 30y <= 1200hrs
x, y > 0
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
using the desmos.com calculator, you would graph the opposite of the constraint inequalities.
the feasible region is the unshaded portion of the graph.
evaluate the objective function at the corner points of the feasible region.
the corner point with the maximum profit is your solution.
if your maximum solution have fractions, then you would need to adjust so that they come out as integers.
your constraints must all be met at the maximum solution.
my graph is shown below:
the maximum solution is at (x,y) = (25.455,18.182) = 207.276.
if the solution needs to be integer, then use (x,y) = (25,18).
maximum solution will then become 204.
all constraints will have been met.
Answer by ikleyn(53937) (Show Source): You can put this solution on YOUR website!
.
Notice that the objective function is written INCORRECTLY in your post.
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