Question 61957
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