Problema Solution

Superbats manufacture two different quality wood baseball bays, the Wallbanger and the Dingbat. The Wallbanger takes 8 hours to trim and turn on a lathe and 2 bourse to finish it. It has a profit of $17. The Dingbat takes 5 hours to trim and turn on a lathe and 5 hours to finish, but it's profit is $29. The total time per day available for trimming and lathing is 80 hours and for finishing is 50 hours. How many of each type should be produced to have the maximum profit? What is the maximum profit?

Answer provided by our tutors

8x+5y<=80.

2x+5y<=50.

Objective function is to maximize Z=17x+29y.

Solving the two constraint equations

6x=30.

x=5, y=(50-2x)/5 =(50-10)/5=8.

x=5,y=8.

Z=17*5+29*8.

=$317.