Final answer:
The question seeks to find the maximum value of a linear programming objective function, but the feasibility region is not provided, which is essential for solving the problem.
Step-by-step explanation:
The question appears to be about linear programming in mathematics. The student is asked to find the maximum value of the objective function C = 7x + 2y based on a given feasibility region. However, the feasibility region is not provided in the question, so it is impossible to determine the maximum value without it. Typically, to find the maximum of the objective function, one would graph the constraints to determine the feasibility region and then evaluate the objective function at each vertex of this region. The point with the highest value would give the maximum of the objective function.