A shop has four machinists to be assigned to four machines. The hourly cost of having each machine operated by each machinist is as follows:

Machine (cost/hr.)

Machinist A B C D 1 $12 $11 $ 8 $14 2 10 9 10 8 3 14 8 7 11 4 6 8 10 9 However, because he does not have enough experience, machinist 3 cannot operate machine B.

a. Determine the optimal assignment and compute total minimum cost.

b. Formulate this problem as a general linear programming model. LO.1