A home gardener estimates that 19 apple trees will have an average yield of 147 apples per tree. But because of the size of the garden, for each additional tree planted the yield will decrease by three apples per tree. (a) How many additional trees should be planted to maximize the total yield of apples?   (b) What is the maximum yield?

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Q: A real-estate firm owns 100 apartments. At 700 OMR per month, each apartment can be rented. However,…

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

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

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A: First make equation and then differentiate

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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: What toll should be charged to maximize the revenue?

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Q: An espresso stand finds that at a price of $4.00, demand is 440 cups. For every $0.25 increase in…

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Q: A 350-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: Given Number of Units: 350  Daily Room Rent: $94  Rent after increasing x dollars: 94 + x  Units…

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Q: Assume that each small sandwich uses 4 inches of bread and 3 ounces of meat, and that each large…

A: Given:  The given information is summarized in following table:   Small Large   Bread 4 in 12…

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

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Q: maximize The Saddle Mine costs $14,000/day to operate, and it vields 50 oz of gold and 3000 oz of…

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Q: a manufacturer finds that for the first 500 units of its product that are produced and sold, the…

A: Let x be the number of additional units produced beyond 500 units.  Therefore total profit p =…

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A: Given: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 6…

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A: Here I am attaching image so that you understand each and every step.

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Q: 2. From Wikipedia, the number of people on Earth in the years 1970, 1980, and 1990 was 3710 million,…

A: Consider the provided question, Year                       Population In million1970…

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

Q: makes a profit of $11 on each oversized racket and $2 on each standard racket. To meet dealer…

A: Profit function p=2x+11y

Q: A real-estate firms owns 100 apartments. At 700 Dollars per month, each apartment can be rented.…

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Q: Afarmer finds that if she plants 100 trees per acre,, each tree will yield 40 bushels of fruit. She…

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Q: 4) A 200-room hotel in Reno is filled every night at rate of $40 per room. For each $1 increase in…

A: we have been given that A 200-room hotel in Reno is filed every night at rate of $40 per room. For…

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

A: Let X be the number of additional trees planted  The expression for the yield Y is  Y =…

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Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: Apartment complex contains 100 units  All units will be occupied if the rent is $900 per month if…

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Q: A farmer has 1000 acres of land on which he can grow corn, wheat, and soybean. The following table…

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

A:

Q: A rectangular box without lid is to be made from a square cardboard of sides 18 cm by cutting equal…

A: This question is based on application of derivative.

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Q: An apartment complex can rent all 150 of its one-bedroom apartments at a monthly rate of $600. For…

A: Let us suppose that $20x be the increase in rent, then the monthly rent of the apartment is…

Q: c) What is the loss the company incurs when it tries to maximize sales (that is, produce the maximum…

A: Find out the loss the company when it tries to maximize the sales.

Q: A 470-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: answer is in next step. please give a like !!!

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Q: A 40-room hotel is fully occupied if $3000 is charged per day per room. For every x hundred-dollar…

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

A: I am attaching image so that you understand each and every step.

Q: 2. A rectangular area is enclosed with fencing on three sides, with the fourth side along a house.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The school director of Saint Louis School of Pacdal, Inc, wants to construct a rectangulr wants to…

A: To find: The dimensions of the garden to be maximized: Given information: The school director wants…

Q: A strawberry farmer will receive $30 per bushel of strawberries during the first week ofharvesting.…

A: A strawberry farmer will receive $30 per bushel of strawberries during the first week ofharvesting.…

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…