2. A patient in a hospital is required to have at least 84 units of drug A and 120 units of drug B each day (assume that an over-dosage of either drug is harmless). Each gram of substance M contains 10 units of drug A and 8 units of drug B, and each gram of substance N contains 2 units of drug A and 4 units of drug B. Now suppose both M and N contain an undesirable drug C, 3 units per gram in M and 1 unit per gram in N. a) How many grams of each substances M and N should be mixed to meet the minimum daily requirements and at the same time minimize the intake of drug C? b) How many units of the undesirable drug C will be in the mixture?

2. A patient in a hospital is required to have at least 84 units of drug A and 120 units of drug B each day (assume that an over-dosage of either drug is harmless). Each gram of substance M contains 10 units of drug A and 8 units of drug B, and each gram of substance N contains 2 units of drug A and 4 units of drug B. Now suppose both M and N contain an undesirable drug C, 3 units per gram in M and 1 unit per gram in N. a) How many grams of each substances M and N should be mixed to meet the minimum daily requirements and at the same time minimize the intake of drug C? b) How many units of the undesirable drug C will be in the mixture?

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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Question

This question is about Linear Programming. Please provide me with the full solutions for the question a) and b). Thanks in advance :D

2. A patient in a hospital is required to have at least 84 units of drug A and 120 units of drug
B each day (assume that an over-dosage of either drug is harmless). Each gram of
substance M contains 10 units of drug A and 8 units of drug B, and each gram of substance
N contains 2 units of drug A and 4 units of drug B. Now suppose both M and N contain an
undesirable drug C, 3 units per gram in M and 1 unit per gram in N.
a) How many grams of each substances M and N should be mixed to meet the
minimum daily requirements and at the same time minimize the intake of drug C?
b) How many units of the undesirable drug C will be in the mixture?

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