Solution-Define decision variables

Define decision variables

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The Queen City Nursery manufactures two types of potting soil Soil A and Soil B. Each cubic foot of Soil A contains 4 pounds of sand, 3 pounds of clay, and 5 pounds of humus. Each cubic foot of Soil B contains 3 pounds of sand, 6 pounds of clay, and 12 pounds of humus. Profit contributions for one foot of Soil A is 10 cents and that for Soil B is 14 cents. Queen city has bought 120 lbs of sand, 120 lbs of clay and 100 lbs of humus. The problem is to find the cubic feet of Soil A and Soil B to maximize the profit under the material constraints given. Formulate the problem as a linear program and solve using graphical method.

Define Decision Variables.
What is the objective function?
What are the constraints?
Solve the problem. (You have to solve this problem using the graphical method or you will not get any credit for finding the solution. Show all steps including end points and points of intersection)
What are the optimal values of decision variables?
What is the optimal value of the objective function?

Reference no: EM133262433

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Define decision variables

Reference no: EM133262433

Reference no: EM133262433

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