Question: . A hospital ER needs to keep doctors on call, so that a qualified individual is available to perform every medical procedure that might be

. A hospital ER needs to keep doctors on call, so that a qualified individual is available to perform every medical procedure that might be required (there is an official list of such procedures). For each of several doctors available for on-call duty, the additional salary they need to be paid, and which procedures they can perform, is known.

The goal to choose a minimum number of doctors so that each procedure is covered at a minimum cost. The table below indicates which doctors are able to perform each procedure.

	Doc 1	Doc 2	Doc 3	Doc 4	Doc 5	Doc 6
Procedure 1	x			x
Procedure 2	x				x
Procedure 3		x	x
Procedure 4	x					x
Procedure 5		x	x			x
Procedure 6		x

Write the 0/1 integer programming formulation to determine which doctors should be hired in order to ensure that all procedures are covered.

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