A factory manufactures two types of gadgets, regular and premium. Each gadget requires the use of two operations, assembly and finishing, and there are at most 120 hours available for each operation. A regular gadget requires 1 hour of assembly and 2 hours of finishing, while a premium gadget needs 3 hours of assembly and 1 hour of finishing. Due to other restrictions, the company can make at most 70 gadgets a week.
If a profit of 20 is realized for each regular gadget and 30 for a premium gadget, how many of each should be manufactured to maximize profit each week? Enter the ordered pair (x, y).
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Jeri finds a pile of money with at least 200. If she puts 50 of the pile in her left pocket, gives away 2/3 of the rest of the pile, and then puts the rest in her right pocket, she'll have more money than if she instead gave away 200 of the original pile and kept the rest. What are the possible values of the number of dollars in the original pile of money? (Give your answer as an interval.)
