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)
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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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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