Maximizing Gadgets Production

A manufacturer produces two types of gadgets, Type A and Type B. Each Type A gadget requires 3 hours of labor and costs $50 to produce, while each Type B gadget requires 4 hours of labor and costs $70 to produce. The manufacturer has a maximum of 120 hours of labor available and wants to spend no more than $1,100 on production costs. If the manufacturer wishes to produce at least 10 gadgets in total, how many Type A gadgets can be manufactured if the maximum number of Type B gadgets is produced?