Homework Answers
Sol:
As mentioned in the question, the objective is to minimize cost and x=grams ingredient 1 and Y = grams of ingredient 2.
Total cost of ingredient 1 = 80x and total cost of ingredient 2 = 50Y
Minimize Cost =
80X +50Y
Subject to:
Ingredient 1 in antibiotic 1 is 3 units and ingredient 2 requirement is 1 unit. Total available antibiotic 1 is 6
3X +1Y ≥6
(antibiotic 1 requirement)
Similarly, for antibiotic 2, ingredient 1 is required 1 unit and 1 unit of ingredient 2. The minimum requirement for antibiotic 2 is 4 units.
1X +1Y ≥4
(antibiotic 2 requirement)
Antibiotic 3 minimum requirement is 12 and the ingredient 1 and ingredient 2 requirement is 6 units and 2 units respectively.
6X +2Y ≥12
(antibiotic 3 requirement)
The ingredients value cannot be negative. So we will take it greater than or qual to 0.
X, Y ≥0
(non-negativity conditions)
Add Answer to:
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