Suppose that 50 students are able to raise $250 for a gift when each one contributes $5. Furthermore, they figure that for each additional student they can find to contribute, the cost per student will decrease by a nickel. How many additional students will they need to maximize the amount of money they will have for a gift?

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A: The manager of a large apartment complex knows from experience that 80 units will be occupied if the…

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A: Given query is to find the number of trees for maximum harvest.

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Q: A walnut grower estimates from past records that if 20 trees are planted per acre, then each tree…

A: to find : (i) no. of trees to be planted for maximum yield per acre. (ii) maximum yield per acre.

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A: NOTE: Refresh your page if you can't see any equations. . A merchant can sell 60 items per day when…

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A: This question can be solved using the concept of maxima and minima.

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A: We will find the total production cost as following .

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Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 75 bushels of fruit. She…

A: A farmer finds that if she plants 80 trees per acre, each tree will yield 75 bushels of fruit. She…

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A: given that , cost of cloth dryer = $ 30 per month cost of new efficient dryer =$ 305 operating cost…

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Q: Suppose that you currently own a clothes dryer that costs $30 per month to operate. A new efficient…

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Q: An apple grower finds that if she plants 20 trees per acre, each tree will yield 90 bushels of…

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Q: Bubba, a farmer, wants to fence-in a three-sided area next to his barn, using the side of the barn…

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Q: The owner of an orange grove must decide when to pick one variety of oranges. She can sell them for…

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Q: A farmer finds that if she plants 75 trees per acre, each tree will yield 50 bushels of fruit. She…

A: Given this problem we find how many trees should she plant per acre to maximize her harvest.   Here…

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Q: Phi Ms. Kaye of the Lakwatsera tours offers a group rate of Php 24000 per person for a week in Cebu…

A: Concept: Maximum and minimum value: To find the maximum and minimum value of a function using first…

Q: A financier plans to invest up to $500,000 in two projects. Project A yields a return of 10% on the…

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Q: An apple grower finds that if she plants 70 trees per acre, each tree will yield 164 bushels of…

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Q: A person is an apple tree farmer. She currently has 40 apple trees per acre, and each tree will…

A: Let “x” be the additional number of trees that should be planted per acre to maximize her harvest.…

Q: A 60 room hotel is filled to capacity every night at a rate of​ $40 per room. The management wants…

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Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

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Q: The manager of a large apartment complex knows from experience that 80 units will be occupied if the…

A: Let us assume he has to increase 3 dollars x times.So, the new rent= 396-3x Number of units will be…

Q: You are assigned a task to design three rectangular cubicles lined up and sharing walls as in the…

A: We can solve the given problem by using the second derivative test.

Q: An automobile dealer can sell 12 cars per day at a price of $20,000. He estimates that for each $300…

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