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 brand of feed contains, in varying proportions, some or all of the three nutritional ingredients essentials for fattening turkeys. Each kilogram of brand 1 contains 5 grams of ingredients A, 4 grams of ingredient B and 0.5 grams of ingredient C. Each kilogram of brand 2 contains 10 grams of ingredient A, 3 grams of ingredient B but nothing of ingredient C. The brand 1 feed costs the Ranch ksh20 a kilogram, while the brand 2 feed costs ksh30 a kilogram.The minimum monthly requirement per turkey is 90 grams of ingredient A, 48 grams of ingredient B and 15 grams of ingredient C.a) Formulate an LP model to help the rancher decide how to mix the two brands of turkey feed so that the minimum monthly intake requirement for each nutritional ingredient is met at minimum cost. b) Use the graphical approach to solve this mode

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 brand of feed contains, in 
varying proportions, some or all of the three nutritional ingredients essentials for fattening 
turkeys. Each kilogram of brand 1 contains 5 grams of ingredients A, 4 grams of ingredient B and 
0.5 grams of ingredient C. Each kilogram of brand 2 contains 10 grams of ingredient A, 3 grams 
of ingredient B but nothing of ingredient C. The brand 1 feed costs the Ranch ksh20 a kilogram, 
while the brand 2 feed costs ksh30 a kilogram.
The minimum monthly requirement per turkey is 90 grams of ingredient A, 48 grams of 
ingredient B and 15 grams of ingredient C.
a) Formulate an LP model to help the rancher decide how to mix the two brands of turkey 
feed so that the minimum monthly intake requirement for each nutritional ingredient is 
met at minimum cost. 
b) Use the graphical approach to solve this mode

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