A company is dedicated to the production of different vegetable-flavored milks. The company currently produces two types of milk: almond and coconut, which it sells for $ 5,000 and $ 2,000 / liter respectively. Milk production is subject to the use of machine hours in the production plant and of water as a fundamental resource. It takes 1 machine-hour and 2 liters of water to produce 1 liter of almond milk, while it takes 3 machine-hours and 1 liter of water to produce 1 liter of coconut milk. The company currently has 100 machine-hours and 50 liters of water to make the milk, and it is also required to make at least 30 liters of milk in total. 1. Determine the optimal solution to the problem using phase II. In each of the iterations, write the resulting model in dictionary format and analyze what happens graphically. (simplex two-phase method)
A company is dedicated to the production of different vegetable-flavored milks. The company currently produces two types of milk: almond and coconut, which it sells for $ 5,000 and $ 2,000 / liter respectively. Milk production is subject to the use of machine hours in the production plant and of water as a fundamental resource. It takes 1 machine-hour and 2 liters of water to produce 1 liter of almond milk, while it takes 3 machine-hours and 1 liter of water to produce 1 liter of coconut milk. The company currently has 100 machine-hours and 50 liters of water to make the milk, and it is also required to make at least 30 liters of milk in total.
1. Determine the optimal solution to the problem using phase II. In each of the iterations, write the resulting model in dictionary format and analyze what happens graphically. (simplex two-phase method)
To find the optimal solution, first, formulate the linear programming problem using the given information.
The given information can be tabulated as follows.
| Almond Milk | Coconut milk | Total hours available | |
| Machine hour | 1 | 3 | 100 |
| Amount of water | 2 | 1 | 50 |
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