Final answer:
To find the minimum value of C = 3x+10y, subject to the given constraints, use linear programming to graph the inequality constraints and find the region where they are satisfied. The minimum value of C will occur at one of the corner points of the feasible region.
Step-by-step explanation:
To find the minimum value of C = 3x+10y, subject to the constraints:
- 2x+4y ≥ 20
- 2x+2y ≤ 16
- x ≥ 2
- y ≥ 3
We can use the method of linear programming. First, graph the inequality constraints on a coordinate grid. Find the region where all the constraints are satisfied. The minimum value of C will occur at one of the corner points of the feasible region. Calculate the value of C at each corner point to determine the minimum.
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