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A shop has 4 machinists to be assigned to four machines. The hourly cost of having each machine managed by each machinist is as follows:

	Machine
Machinist	A	B	C	D
1	$10	$2	$8	$6
2	9	5	11	9
3	12	7	14	14
4	3	1	4	2

a. Formulate a linear programming model for this problem.

b. Find out the optimal assignment and compute total minimum cost.

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