Maximizing Production of Type A Gadgets

A manufacturer produces two types of gadgets: Type A and Type B. The production cost of each Type A gadget is $400, and the production cost of each Type B gadget is $300. The manufacturer plans to produce a total of 200 gadgets, with the total production cost not exceeding $70,000. Let $x$ represent the number of Type A gadgets produced and $y$ represent the number of Type B gadgets produced.

Using the constraints provided, determine the maximum number of Type A gadgets that can be produced.

Note: Express your answer as an improper fraction, i.e., if your answer is 2.5, write 5/2.