A marketing research firm would like to do a survey for one oftheir clients. The survey is for a local newspaper that would liketo know how effective its advertising strategy has been for a newpublication. The cost for surveying is $11 for a low-incomehousehold, $8.5 for a mid-income household, and $9.5 for ahigh-income household. The survey must include at least 300households. At least 75 must be high-income homes and at least 145should be low and mid-income households. The ratio of mid-income tolow-income household should not be greater that 3 to 1. Formulate alinear programming model that will minimize surveying costs.

How many decision variables are in this problem?

		None of the amswers given here
		5
		4
		3
		0
		2

How many constraints are there in this problem (do not includethe trivial constraints)

		None of the answers given here
		2
		4
		3
		5
		1

1. How many of the constraints are ? constraints?

   		3
   		5
   		2
   		1
   		6 or more
   		0

Which of the following is the correct ratio constraint, giventhat X1 represents low income and X2 mid income?

		-3X1 + X2 ? 0
		X1 – 3X2 ? 0
		None of the answers given here
		X1 – 3X2 ? 0
		3X1 – X2 ? 0

The objective function is

		11X1 + 8.5 X2 + 9.5 X3
		None of the answers given here
		11X1 + 8.5 X2
		X1 + X2 + X3
		X1 + X2
		X1 + X2 + X3 ? 300

Which constraint belongs to this model?

		None of the answers given here
		X1 + X3 ? 145
		X1 + X2 + X3 ? 75
		X3 ? 75
		X1 ? 145