Respuesta :
The chip manufacturer can maximize the monthly profit by using the objective function: z = 6X₁ + 7X₂ + 10 X₃
An objective function is a function that has the goal of maximizing or minimizing the model's value based on the relationship between the variables in the function.
The term "decision variables" refers to a group of variables that are responsible for regulating the objective function.
The decision variable for the quantity of the product 1, 2, 3 manufactured can be expressed as:
- X₁, X₂, X₃
The objective function used in maximizing the profit is:
- z = 6X₁ + 7X₂ + 10 X₃
This is subjected to the constraint:
- 2X₁ + 3X₃ ≤ 120 (Tech A time and manufacturing limitation)
- 2.5X₁ + 3X₂ ≤ 120 (Tech B time and manufacturing limitation)
- 4X₂ ≤ 120 (Tech C time and manufacturing limitation)
- 3.5X₂ ≤ 120 (Tech D time and manufacturing limitation)
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