A farmer has decided to make his own feed by combining alfalfa and corn by the truckload. A truckload of corn costs $400 and a truckload of alfalfa costs $200. The farmer's animals have a minimum daily requirement of vitamin K (500 milligrams) and iron (400 milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other grain. A unit of corn contains 150 milligrams of vitamin K and 75 milligrams of iron. A unit of alfalfa contains 250 milligrams of vitamin K and 50 milligrams of iron. Part1: Which constraint(s) will have surplus? a) none of the constraints b) only iron c) only vitamin K Part2: Determine the optimal solution by hand. Include every step of the process and clearly label your final answer (put back into the context of the problem)
A farmer has decided to make his own feed by combining alfalfa and corn by the truckload. A truckload of corn costs $400 and a truckload of alfalfa costs $200. The farmer's animals have a minimum daily requirement of vitamin K (500 milligrams) and iron (400 milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other grain. A unit of corn contains 150 milligrams of vitamin K and 75 milligrams of iron. A unit of alfalfa contains 250 milligrams of vitamin K and 50 milligrams of iron. Part1: Which constraint(s) will have surplus? a) none of the constraints b) only iron c) only vitamin K Part2: Determine the optimal solution by hand. Include every step of the process and clearly label your final answer (put back into the context of the problem)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A farmer has decided to make his own feed by combining alfalfa and corn by the truckload. A truckload of corn costs $400 and a truckload of alfalfa costs $200. The farmer's animals have a minimum daily requirement of vitamin K (500 milligrams) and iron (400 milligrams), but it doesn't matter whether those elements come from corn, alfalfa, or some other grain. A unit of corn contains 150 milligrams of vitamin K and 75 milligrams of iron. A unit of alfalfa contains 250 milligrams of vitamin K and 50 milligrams of iron.
Part1: Which constraint(s) will have surplus?
a) none of the constraints
b) only iron
c) only vitamin K
Part2: Determine the optimal solution by hand. Include every step of the process and clearly label your final answer (put back into the context of the problem).
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