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Instructions: Given the following problem statement: 1. Define the decision variables, objective function, and constraints as listed in the LP Model Formulation Steps section. Insert

Instructions:
Given the following problem statement:
1. Define the decision variables, objective function, and constraints as listed in the LP Model Formulation Steps section. Insert answers per guidance and highlight cell in light green.
2. Use the results of the LP Model Formulation Steps to create an Objective Table and Constraint Table in the Results section.
3. Solve the Linear Programming Problem using "Solver."
4. Create a Answer Report.
5. Create a Limits Report.
6. Create a Limits Report.
Variables
Problem Statement
The Holiday Meal Turkey Ranch is considering buying two different brands of turkey feed and blending them to provide a good, low-cost diet for its turkeys. Each feed contains, in varying proportions, some or all of the three nutritional ingredients essential for fattening turkeys. Each pound of brand 1 purchased, for example, contains 5 ounces of ingredient A, 4 ounces of ingredient B, and 0.5 ounce of ingredient C. Each pound of brand 2 contains 10 ounces of ingredient A, 3 ounces of ingredient B, but no ingredient C. The brand 1 feed costs the ranch $0.02 per pound, while brand 2 feed costs $0.03 per pound. Determine the lowest-cost diet that meets the minimum monthly intake requirement for each nutritional ingredient.
Table 1.
Product Resource Requirements
Ingredient Brand 1 Feed (B1) Brand 2 Feed (B2) Min Monthly Requirement per Turkey Oz
A 5 10 90
B 4 3 48
C 0.5 0 1.5
Cost per pound $0.02 $0.03
LP Model Formulation Steps
1. Define the decision variables - one variable per row. Format: Variable label = Variable name
B1 = brand 1
B2 = brand 2
2. Define the objective function - Format: Max/Min = equation using variable labels and values
Minimum Cost = 0.02*B1 + 0.03*B2
3. Define the constraints - one constraint per row. Provide a title for the constraint. Format = Title: equation
INGREDIENT A: 5*B1 + 10*B2 >= 90
INGREDIENT B: 4*B1 + 3*B2 >= 48
INGREDIENT C: 0.5*B1 + 0*B2 >= 1.5
Results
Objective Table
Decision Variables
B1 B2 Minimize
Objective Function 0.02 0.03 Cost
Pounds of feed 8.4 4.8 0.312
Constraints Table
Cell Reference See Table Above Constraint
Constraint Variables Technical Coefficients LHS (units used) Constraint Sign RHS (constraint) Slack (-) or Surplus (+)
Ingredient A 5 10 90 >= 90 0
Ingredient B 4 3 48 >= 48 0
Ingredient C 0.5 0 4.2 >= 1.5 -2.7
Answer Report
Instructions
1. Relabel the "Answer Report" tab to "Task 4_Answer Report"
2. Place immediately after the "Task 4_MinAndReports" tab.
Questions to interpret the results of the Answer Report Type answer in the box
1. What is the minimum cost? 0.312
2. How many units of surplus are available for Ingredient C? 0
3. How many units of slack are available for Ingredient C? 2.7
4. Which ingredients are binding? A&B
5. Which ingredients are not binding? C
Sensitivity Report
Instructions
1. Relabel the "Sensitivity Report" tab to "Task 4_Sensitivity Report"
2. Place immediately after the "Task 4_Answer Report" tab.
Questions to interpret the results of the Sensitivity Report Type answer in the box
6. What is the allowable increase in B1's reduced cost? 0.02
7. What is the allowable decrease in B2's reduced cost? 0.005
8. What is B1's reduced cost? 0
9. What is the allowable increase in ingredient C's shadow price? 2.7
10. What is the allowable decrease in ingredient B's shadow price? 13.5
11. What is ingredient A's shadow price? 0.0024
Limits Report
Instructions
1. Relabel the "Limits Report" tab to "Task 4_Limits Report"
2. Place immediately after the "Task 4_Sensitivity Report" tab.
Questions to interpret the results of the Limits Report Type answer in the box
12. What is the lower limit for B1? 8.4
13. What is the upper limit for B2? N/A

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