linear programming

timer Asked: Oct 30th, 2015

Question description

The Bluegrass Distillery produces custom-blended whiskey. A particular blend consists of rye

and bourbon whiskey. The company has received an order for a minimum of 400 gallons of the

custom blend. The customer specified that the order must contain at least 40% rye and not more

than 250 gallons of bourbon. The customer also specified that the blend should be mixed in the

ratio of two parts rye to one part bourbon. The distillery can produce 500 gallons per week,

regardless of the blend. The production manager wants to complete the order in 1 week. The

blend is sold for $5 per gallon.

The distillery company’s cost per gallon is $2 for rye and $1 for bourbon. The company wants

to determine the blend mix that will meet customer requirements and maximize profits.

Formulate a linear programming model for this problem.

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