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ISEE Upper Level
Quantitative Reasoning

Gadget Production Optimization Problem

Hard Word Problems Advanced Algebra

A factory produces two types of gadgets: Type A and Type B. The factory operates 8 hours a day. Each Type A gadget requires 2 hours of labor to produce, while each Type B gadget requires 3 hours of labor. The factory has a maximum of 20 hours of labor available each day. If the factory can produce a maximum of 10 Type A gadgets and 5 Type B gadgets in a day, which combination of gadgets will maximize the use of labor hours while adhering to the production limits?

Hint

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