Question 61957: Linear programming (maximization)
A company produced 2 products, widjets and wadjets. To produce 1 widjet requires 2 hours on machine A and 2 hours on machine b. A wadjet requires 2 hours on machine A and 2 hours machine B. " machine A can operate up to 25 hrs per day and machine b can operate up to 37 hours per day. A widjets produces a profit of 7 dollars and a wadjet produces a profit of 6 dollars. how many wadjets should be produced each day for maximum profit? what is the maximum profit?
A) Write and explain each constraint and explain each variable used in the problem.
B)solve the linear program problem using any method. round final answer down to the next smallest integer if necessary
Answer by specialityservices15(1)   (Show Source):
You can put this solution on YOUR website! Let W1= number of widgets manufactured
w2= number of wadgets manufactured
z = profit
clearly, z=7w1 + 6w2 subject to the constraints,
2w1+2w2<=25
2w1+2w2,=37
since 25 places a constraint on the number of hours and both w1 and w2 require equal time hence the company should produce 12 w1 for a profit of $84
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