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Exercise 2. Alexis Grainby makes her living buying and selling grains: corn, wheat and rice. At the beginning of month 1, she has 50 tons of corn, 100 tons of wheat, 25 tons of rice and $1000. On the first day of month i, Alexis can buy corn, wheat and rice at cost of b₁i, b2i, and b3į respectively, for i = {1,..., 6}. On the last day of each month Alexis can sell corn, wheat and rice at price of $1i, $2i, and s3; respectively, for i {1,...,6}. Alexis stores her corn, wheat and rice in a warehouse that can hold at most 500 tons of grains at any point during the month. She must be able to pay cash for all grains at the time of purchase. Formulate a linear program that will enable Alexis to maximize her cash at the end of month 6. =

Exercise 2. Alexis Grainby makes her living buying and selling grains: corn, wheat and rice. At the beginning of month 1, she has 50 tons of corn, 100 tons of wheat, 25 tons of rice and $1000. On the first day of month i, Alexis can buy corn, wheat and rice at cost of b₁i, b2i, and b3į respectively, for i = {1,..., 6}. On the last day of each month Alexis can sell corn, wheat and rice at price of $1i, $2i, and s3; respectively, for i {1,...,6}. Alexis stores her corn, wheat and rice in a warehouse that can hold at most 500 tons of grains at any point during the month. She must be able to pay cash for all grains at the time of purchase. Formulate a linear program that will enable Alexis to maximize her cash at the end of month 6. =

Advanced Engineering Mathematics
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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Linear Programming:

Decision variables, objective function, constraints, sign restriction

Exercise 2. Alexis Grainby makes her living buying and selling grains: corn, wheat and rice. At the beginning of month 1, she has 50 tons of corn, 100 tons of wheat, 25 tons of rice and $1000. On the first day of month i, Alexis can buy corn, wheat and rice at cost of bii, b2i, and b3i respectively, for i = {1,...,6}. On the last day of each month Alexis can sell corn, wheat and rice at price of S1, S2i, and s3i respectively, for i {1,...,6}. Alexis stores her corn, wheat and rice in a warehouse that can hold at most 500 tons of grains at any point during the month. She must be able to pay cash for all grains at the time of purchase. Formulate a linear program that will enable Alexis to maximize her cash at the end of month 6. =
Transcribed Image Text:Exercise 2. Alexis Grainby makes her living buying and selling grains: corn, wheat and rice. At the beginning of month 1, she has 50 tons of corn, 100 tons of wheat, 25 tons of rice and $1000. On the first day of month i, Alexis can buy corn, wheat and rice at cost of bii, b2i, and b3i respectively, for i = {1,...,6}. On the last day of each month Alexis can sell corn, wheat and rice at price of S1, S2i, and s3i respectively, for i {1,...,6}. Alexis stores her corn, wheat and rice in a warehouse that can hold at most 500 tons of grains at any point during the month. She must be able to pay cash for all grains at the time of purchase. Formulate a linear program that will enable Alexis to maximize her cash at the end of month 6. =
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