Final answer:
The question involves a linear programming problem where the goal is to minimize a cost function subject to certain constraints. It's a mathematical problem typically solved with the Simplex algorithm or Graphical method, and is relevant to college-level studies.
Step-by-step explanation:
The student has presented a linear programming (LP) problem which involves minimizing an objective function subject to a set of constraints. This is a common type of optimization problem in mathematics encountered in fields such as economics, engineering, and management science. The objective here is to minimize the cost function z = 9.00x1 + 5.90x2, given the linear constraints:
- 5x1 + 3x2 ≤ 30,
- 2x1 + 5x2 ≤ 33,
- x1, x2 ≥ 0.
All variables, namely x1 and x2, must be greater than or equal to zero, reflecting a real-world scenario where negative quantities are not possible. To solve this LP problem, one would typically use methods such as the Simplex algorithm or Graphical method, depending on the number of variables and the complexity of the constraints.