A walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts per year. If, for each additional tree planted per acre, the average yield per tree drops 2 pounds, then how many trees should be planted to maximize the yield per acre? What is the maximum yield?

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A: Let each side of the square cut-off from each corner be x in. then the length of the base of the box…

Q: 3. Find two numbers whose sum is 6, such the sum of their cubes is minimum.

A: Let two numbers are x and y  and S denotes sum of their cubes of numbers  we need to use second…

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A: The following solution is given below:

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A:

Q: The manufacturer of a CD player has found that the revenue R (in dollar) is R(p)=-5p^2+1,090p, when…

A: The revenue function is R(p)=-5p2+1090p where unit price is p dollars. Differentiate with respect to…

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A: Let x = number of dollar increase in rent per day. Total room rented = (440 – x) rooms Rent per day…

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

A: Profit without increase = No.of rooms * rate per room                                  =60*40…

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A: What toll should be charged to maximize the revenue?

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Q: An apple grower finds that if she plants 60 trees per acre, each tree will yield 222 bushels of…

A: Let x be the additional number of trees planted on the 1 acre land. Let y be the total harvest of…

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: An equation of single variable having degree 2 is called quadratic equation. It is in the form of…

Q: A real-estate firm owns 100 apartments. At 400 OMR per month , each apartment can be rented.…

A:

Q: When a wholesaler sold a product at $40 per unit, sales were 248 units per week. After a price…

A: To find the the price

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A: Given: -

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A: Let x be the amount hotel should charge for each room to maximize its daily profit.

Q: A company has determined that for product A,150 units are demanded if price RM40, and 100 units are…

A: Here, given that 150 units are demanded if price RM40, and 100 units are demanded if the price is…

Q: An ecologist estimates that the island has enough food to support a maximum population of 1000…

A: I have solved this question before, the actual question says that, an island is introduced with 200…

Q: Find two numbers whose sum is 10, and the sum of whose square is minimum.

A:

Q: A small orchard yields 25 bushels of fruit per tree when planted with 40 trees. Because of…

A: The statement mentions that there are 25 bushels of fruit per tree when planted with 40 trees. Now,…

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A:

Q: A supermarket expects to sell 16,000 boxes of sugar in a year. Each box costs $2, and there is a…

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Q: (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the…

A: Hey, since there are multiple subparts posted, we will answer first question. If you want any…

Q: Suppose that the manufacturer of a gas clothes dryer has found that, when the unit price is p…

A: Solution:GivenR(p)=-4p2+4000pTo find the unit price when revenue is maximum.Also find the Maximum…

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A:

Q: Find two numbers whose difference is 6 such that the sum of their squares is a minimum.

A:

Q: A Florida citrus grower estimates that if 60 orange trees are planted, the average yield per tree…

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A: The given data is: Rent is $500 per month A market survey suggests that, on average, one additional…

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A:

Q: The manufacturer of a CD player has found that the revenue R​ (in dollars) is R (p)=-5p2 + 1920p…

A:

Q: The manufacturer of a CD player has found that the revenue R (in dollars) is  R(p)= -5p^2+1120p,…

A: We have given the revenue function R(p)= -5p^2+1120p

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Q: A company produces chocolate Easter bunnies at a cost per unit of 0.60 + 0.005x dollars, where x is…

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Q: A liquid form of penincillin manufactiured by a pharmaceutical firm is sold in bulk at a price of…

A: Total selling price of x unit of penicillin= $200x Profit, p(x)= Selling Price- Cost price…

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A: Given:Profit Function:

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A:

Q: A company handles an apartment building with So units. Experience has shown that if the rent for…

A: Solution of the problem as follows

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Q: The annual total revenue for a product is given by R(x)=30,000x−6x2 ​dollars, where x is the number…

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Q: A home gardener estimates that 19 apple trees will have an average yield of 147 apples per tree. But…

A: Total  number of apple  trees=x+19GIVEN:Additional tree planted the yield will decrease by three…

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Q: In planning a restaurant, it is estimated that a daily profit of $6 per seat will be made if the…

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Q: If, in a monopoly market, the demand for a product is p = 2100 x and the revenue is R = px, where x…

A: Maximize revenue

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A:

Q: What is the maximum profit that can be reached?

A: A linear demand curve is a graph that depicts the relationship between demand and pricing for a…