Joe Henderson runs the small metal part shop. The shop has three machines- drill press, lathe, and grinder. Joe has 3 operators, each certified to work on all 3 machines. Though every operator performs better on some machines than on other. Shop has contracted to do the big job which needs all 3 machines. Times needed by different operators to perform required operations on every machine are summarized as given below.
Operator Drill Press (min) Lathe (min) Grinder (min)
1 22 18 35
2 41 30 28
3 25 36 18
Joe Henderson wishes to allot one operator to every machine so that total operating time for all 3 operators in minimized.
Prepare the linear programming model for the problem
Solve model using computer
Joe's brother, Fred, has inquired him to hire his wife, Kelly, who is the machine operator. Kelly can perform each of the 3 required machine operations in twenty minutes. Should Joe hire his sister-in-law?