If we substitute the constraint y = 10,000,000 / x^0.1 into the objective function C = 30,000x + y, we are left with having to minimize C = 30,000x + 10,000,000 / x^0.1, with x > 0.

The minimum value of C is 7,997,406, and it occurs when x = 24 and y = 7,270,370.