The Tennessee Jack Distillery produces custom-blendedwhiskey. A particular blend consists of rye and bourbonwhiskey. The company has received an order for a minimumof 400 gallons of the custom blend. The customer specifiedthat the order must contain at least 40 percent rye and notmore than 250 gallons of bourbon. The customer also speci-fied that the blend should be mixed in the ratio of two partsrye to one part bourbon. The distillery can produce 500 gal-lons per week, regardless of the blend. The production man-ager wants to complete the order in one week. The blend issold for $12 per gallon. The distillery company’s cost pergallon is $4 for rye and $2 for bourbon. The company wantsto determine the blend mix that will meet customer require-ments and maximize profits.a. Formulate and solve a linear programming model forthis problem.b. Solve the problem using the graphical method.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
The Tennessee Jack Distillery produces custom-blendedwhiskey. A particular blend consists of rye and bourbonwhiskey. The company has received an order for a minimumof 400 gallons of the custom blend. The customer specifiedthat the order must contain at least 40 percent rye and notmore than 250 gallons of bourbon. The customer also speci-fied that the blend should be mixed in the ratio of two partsrye to one part bourbon. The distillery can produce 500 gal-lons per week, regardless of the blend. The production man-ager wants to complete the order in one week. The blend issold for $12 per gallon. The distillery company’s cost pergallon is $4 for rye and $2 for bourbon. The company wantsto determine the blend mix that will meet customer require-ments and maximize profits.a. Formulate and solve a linear programming model forthis problem.b. Solve the problem using the graphical method.
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