Maximization Problem: Production Optimization A metallurgical company produces three types of metal products: A, B and C. Thes Products require different amounts of resources to manufacture. The company has limitations on the number of labor hours, machines available and raw Materials. The goal is to maximize total profit. Variables X₁: Quantity of products A to produce. X₂: Quantity of products B to produce. X₂: Quantity of products C to be produced. X₂: Hours of labor used. X: Hours of machines used. X: Amount of raw material used for A. x₁: Amount of raw material used for B. Xg: Amount of raw material used for C. X₂: Upper limit on total product production. X10: Upper limit on the number of work hours available. Objective Function Maximize Z = 5x₁+8x₂+6x Restrictions 2x₁+4x₂+3x3 ≤ x₂ (Labor restriction) 3x₂+2x₂+5x3 ≤X (Machine restriction) X ≤ 5x₂ (Raw material for A) 2x, ≤ 6x₂ (Raw material for B) 3x ≤ 4x3 (Raw material for C) X₂+x₂+x3 ≤ x₂ (Limit on total production) X4 SX₁0 (Limit on the number of work hours) Additional Restrictions X₁, X₂, X3, X4, X5, X₁, X₁, X, X, X1020 (Quantities cannot be negative) Solve this exercise using the scipy.optimize Python library. Define the function target correctly, along with the constraints and then implement the solution to find the optimal values of the variables.

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Topological sort is a sorting technique that sets up a hierarchy in a process. In this technique, when a directed network has nodes connected by arrows, the root node is placed before the successor node.