document.write( "Question 61957: Linear programming (maximization)
\n" ); document.write( "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?
\n" ); document.write( "A) Write and explain each constraint and explain each variable used in the problem.
\n" ); document.write( "B)solve the linear program problem using any method. round final answer down to the next smallest integer if necessary \n" ); document.write( "

Algebra.Com's Answer #42694 by specialityservices15(1) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let W1= number of widgets manufactured
\n" ); document.write( " w2= number of wadgets manufactured
\n" ); document.write( " z = profit
\n" ); document.write( "clearly, z=7w1 + 6w2 subject to the constraints,
\n" ); document.write( " 2w1+2w2<=25
\n" ); document.write( " 2w1+2w2,=37
\n" ); document.write( "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 \n" ); document.write( "

\n" );