Joe Henderson runs a small metal parts shop. The shop contains three machines-a drill press, a lathe, and a grinder. Joe has three operators, each certified to work on all three machines. However, each operator performs better on some machines than on others. The shop has contracted to do a big job that requires all three machines. The times required by the various operators to perform the required operations on each machine are summarized as follows:

Joe Henderson wants to assign one operator to each machine so that the total operating time for all three operators is minimized.
a. Formulate a linear programming model for this problem.
b. Solve the model by using the computer.
c. Joe's brother, Fred, has asked him to hire his wife, Kelly, who is a machine operator. Kelly can perform each of the three required machine operations in 20 minutes. Should Joe hire hissister-in-law?

Transcribed Image Text:

Operator Drill Press (min.) Lathe (mi Grinder (min.) 41 25 18 30 36 35 28 18