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 4 units of drug B .how many grams of substance M and N can be mixed to meet the minimum daily requirements ?
Answers
Given : 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
To Find : How many grams of substances M and N can be mixed to
meet the minimum daily
Explanation:
M , N ≥ 0
10M + 2N ≥ 84
=> 5M + N ≥ 42
8M + 4N ≥ 120
=> 2M + N ≥ 30
M = 0 , N = 42
M = 4 , N = 22
M = 15 N = 0
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