3.) 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 mutritional ingredients essential for fattening turkeys. Each pound of brand I purchased, for example, contains 5 ounces of ingredient A. 4
3.) 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 mutritional ingredients essential for fattening turkeys. Each pound of brand I purchased, for example, contains 5 ounces of ingredient A. 4 ounces of ingredient B, and ½ ounces 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 I feed costs the ranch 2 cents a pound, while the brand 2 feed costs 3 cents a pound. The minimun monthly requirement per turkey are 90 ounce of A, 48 ounce of B and 1% of C. The owner of the ranch would like to use LP to determine the lowest-cost diet that meets the minimum monthly intake requirement for each nutritional ingredient.
a) Make a table summary from the problem
b) Formulate the problem and solve it using graphical method.
c)Find the maximum value and minimum value using primal and dual problem.
4.) Consider Fred Sahara's following linear programming formulation
Minimize Z = $1X₁ + $2X₂
Subject to:
X₁ + 3X₂ ≥ 90
8X₁ + 2X₂ ≥ 160
3X₁ +2X₂ ≥ 120
X₁ ≤ 70
X₁, X₂ ≥ 0
a) Graphically illustrate the feasible region and which corner point produces the optimal solution. b) What is the cost of this solution?
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