Question
Rienzi Farms grows sugar cane and soybeans on its 500 acres of land. An acre of soybeans brings a $1000 contribution to overhead and profit;
Rienzi Farms grows sugar cane and soybeans on its 500 acres of land. An acre of soybeans brings a $1000 contribution to overhead and profit; an acre of sugar cane has a contribution of $2000. Because of a government program, no more than K acres may be planted in soybeans, where K equals to 200+last two digits of your student ID acres (e.g. if you ID is 1234567, then K=200+67=267). During the planting season, 1200 hours of planting time will be available. Each acre of soybeans requires 2 hours, while each acre of sugar cane requires 5 hours. The company seeks maximum contribution (profit) from its planting decision.
- Formulate the linear programming problem using the excel template.
- Set up the objective function using two variables: X1 and X2
- Set the parameters for X1 and X2in E2 and F2 cells.
- Set the objective function in G2 (Hint: the equation includes E2, F2, $B$2, and $B$3)
- Set up the government policy and time constraints (Hint: see the land constraint)
- Set the parameters for X1 and X2 in E6-7 and F6-7 cells.
- Enter the formula for cell references in G6 (Hint: the equation includes E6, F6, $B$2, and $B$3
- Enter the formula for cell references in G8 (Hint: the equation includes E7, F7, $B$2, and $B$3
- Set the constraints in H6-7
- Solve the problem using Excel Solver.
- Set the Objective
- Set the Changing Variable Cells
- Add constraints using G6-7 and H6-7. Do not directly enter any numbers.
- Run the solver
- Save the Answer report
Submission requirement: 1)create a pdf file, 2) include the answer report (5 points), 3) interpret the answer report (5 points).
Rienzi Farms grows sugar cane and soybeans on its 500 acres of land. An acre of soybeans brings a $1000 contribution to overhead and profit; an acre of sugar cane has a contribution of $2000. Because of a government program, no more than K acres may be planted in soybeans, where K equals to 200+last two digits of your student ID acres (e.g. if you ID is 1234567, then K=200+67=267). During the planting season, 1200 hours of planting time will be available. Each acre of soybeans requires 2 hours, while each acre of sugar cane requires 5 hours. The company seeks maximum contribution (profit) from its planting decision.
- Formulate the linear programming problem using the excel template.
- Set up the objective function using two variables: X1 and X2
- Set the parameters for X1 and X2in E2 and F2 cells.
- Set the objective function in G2 (Hint: the equation includes E2, F2, $B$2, and $B$3)
- Set up the government policy and time constraints (Hint: see the land constraint)
- Set the parameters for X1 and X2 in E6-7 and F6-7 cells.
- Enter the formula for cell references in G6 (Hint: the equation includes E6, F6, $B$2, and $B$3
- Enter the formula for cell references in G8 (Hint: the equation includes E7, F7, $B$2, and $B$3
- Set the constraints in H6-7
- Set up the objective function using two variables: X1 and X2
- Solve the problem using Excel Solver.
- Set the Objective
- Set the Changing Variable Cells
- Add constraints using G6-7 and H6-7. Do not directly enter any numbers.
- Run the solver
- Save the Answer report
Submission requirement: 1)create a pdf file, 2) include the answer report (5 points), 3) interpret the answer report (5 points).
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