For this linear programming problem, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables. i.e: Max Z = 500x + 300y Subject to: 4x + 2y <= 60 (1st constraint) 2x + 4y <= 48 (2nd constraint) x, y >= 0 (non-negativity) Problem: Madam Dorie owns a perfume shop where she mixes her own brands. Currently, she is offering two brands - Halimuyak and Sweet Smell. Halimuyak gives her a profit of ₽20 an ounce while Sweet Smell gives her ₽16 of profit per one ounce. These two brands are at mixed from two essences, E1 and E2. Mixing requirements are given in the following table: E1 E2 Halimuyak 0.3 oz 0.1 oz Sweet Smell 0.1 oz 0.4 oz Madam Dorie discovered that for a particular day, she had 30 ounces of E1 and 60 ounces of E2. What should she mix to maximize her profit?
For this linear programming problem, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables.
i.e:
Max Z = 500x + 300y
Subject to:
4x + 2y <= 60 (1st constraint)
2x + 4y <= 48 (2nd constraint)
x, y >= 0 (non-negativity)
Problem: Madam Dorie owns a perfume shop where she mixes her own brands. Currently, she is offering two brands - Halimuyak and Sweet Smell. Halimuyak gives her a profit of ₽20 an ounce while Sweet Smell gives her ₽16 of profit per one ounce. These two brands are
at mixed from two essences, E1 and E2. Mixing requirements are given in the following table:
| E1 | E2 | |
| Halimuyak | 0.3 oz | 0.1 oz |
| Sweet Smell | 0.1 oz | 0.4 oz |
Madam Dorie discovered that for a particular day, she had 30 ounces of E1 and 60 ounces of E2. What should she mix to maximize her profit?
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