An apple orchard yields 20 bushels of apples per tree when there are 75 trees per acre. For each additional tree per acre, it is estimated that yield will decrease by 3 bushels per tree. How many trees should be planted per acre to maximize the yield? Round to the nearest tree.

Q: You have 200 feet of fencing to enclose a rectangular plot that borders a river on two sides. "f you…

A: From the given data:

Q: When a potter sells his pots for p dollars apiece, he can sell D(p)=2500-p2 them. Suppose the pots…

A:

Q: A farmer finds that if she plants 100 trees per acre, each tree will yield 45 bushels of fruit. She…

A: Here we will find the number of trees per acre to maximise harvest,

Q: Last fall the SAC sold 80 PHS sweatshirts for $40 each. A survey shows that for every $2 decrease in…

A: Consider the provided question, Last fall the SAC sold 80 PHS sweatshirts for $40 each. A survey…

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 35 bushels of fruit. She…

A:

Q: The demand for monorail service in Las Vegas in 2005 can be approximated by q=−4500p+41500 rides…

A: The demand for monorail service in Las Vegas in 2005 can be approximated by q=−4500p+41500 rides per…

Q: A rancher wants to create two rectangular pens, as shown in the figure, using an existing fence line…

A: The following solution is given below:

Q: If the total revenue function for a hammer is R = 36x-0.001x^2, then sales of how many hammers, x,…

A:

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

A:

Q: An airline finds that if it prices a cross-country ticket at $500, it will sell 300 tickets per day.…

A: Question- An airline finds that if it prices a cross-country ticket at $500, it will sell 300…

Q: You have 120 feet of fencing to enclose a rectangular plo that borders on a river. If you do not…

A: There are 120 feet of fencing to enclose a rectangular plot which is needed to fence the 3 side of…

Q: Jane is 2 mi offshore in a boat and wishes to reach a coastal village 6 mi down a straight shoreline…

A:

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.

Q: The owner of an apartment building can rent all 50 apartments if she charges $600 per month, but she…

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

Q: An apple grower finds that if she plants 40 trees per acre, each tree will yield 230 bushels of…

A: Let x be the number of additional tress.From the given information, the total number of trees is (40…

Q: A ski resort can manufacture enough machine-made snow in 4 h to open its steepest run, whereas it…

A: The time taken for the ski resort to manufacture machine made snow is 4 hours.The time taken for the…

Q: A small radio transmitter broadcasts in a 31 mile radius. If you drive along a straight line from a…

A: Given data:     The given radius is: r=31 miles. The given north point is: a=41 miles. The given…

Q: A hunter is standing on a riverbank and wants to reach his cabin, which is 8 miles west along the…

A: Let hunter runs x miles along the riverbank Speed = 5mph Time = x5 h Diagonal distance = 32+8-x2…

Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $110 per barrel. If…

A:

Q: Please see image attached, thank you

A: Revenue function and cost function are Profit function is

Q: When a potter sells his pots for p dollars apiece, he can sell D(p) = 2500 − p 2 of them. Suppose…

A: Given Function for selling price,D(p)=2500-p2

Q: A person is an apple tree farmer. She currently has 35 apple trees per acre, and each tree will…

A: The equation can be generated from the given information by considering every situation. For the…

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

A:

Q: farmer finds that if she plants 75 trees per acre, each tree will yield 30 bushels of fruit. She…

A: A farmer finds that if she plants 75 trees per acre, each tree will yield 30 bushels of fruit. Let x…

Q: A farmer finds that if she plants 85 trees per acre, each tree will yield 65 bushels of fruit. She…

A: answer is in next step

Q: A boat on the ocean is 9 km from the nearest point on a straight shoreline; that point is 10 km from…

A:

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

A:

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

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

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…

Q: The price of a product in a competitive market is $400. If the cost per unit of producing the…

A: The cost function per unit is 70 + 0.2x in dollars and x be the number of items produced per month.

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

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

Q: A farmer finds that if she plants 55 trees per acre, each tree will yield 50 bushels of fruit. She…

A: Let x be trees per acre and y be yield.  The given data is represented in an equation,…

Q: A furniture store sells 96 coffee tables per month at $1100 each. The owners estimate that for each…

A:

Q: An oil- producing country can sell 7 million barrels of oil a day at price of $90 per barrel. If…

A:

Q: You have 300 feet of fencing to construct a rectangular pen for cattle. What are the dimensions of…

A: Let x be the length and y be the width of the pen. According to given, 2(x+y)= 300 150=x+y y=…

Q: When 300 apple trees are planted per acre, the annual yield is 1.6 bushels of apples per tree. For…

A: The number of apple trees to be planted is determined as shown below

Q: A hockey team plays in an area with a seating capacity of $15,000 spectators. With the ticket price…

A: To maximize the revenue we have to find the local maxima. There needs a small correction: average…

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

A:

Q: You want to make 3 pairs of earrings that are in the shape of isosceles triangles. Each earring will…

A: Earrings can be made of the form isosceles triangle. ie., two adjecents sides are equal. Base of the…

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…

Q: The owner of an apartment building can rent all 60 apartments if she charges $1,800 per month, but…

A:

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

A: Let x be the number of seats that is beyond 50 seats, Then the daily profit per seat is decreased by…

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

A:

Q: armer finds that if she plants 90 trees per acre, each tree will yield 75 bushels of fruit. She…

A: The maxima or minima of a function is were the first derivative is 0. For that point being maxima…

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

A: Let, y b the length of the other side of the cubicles. So, the perimeter of the rectangular…

Q: A farmer finds that if she plants 70 trees per acre, each tree will yield 30 bushels of fruit. She…

A:

Q: You have 800 feet of fencing to make a pen for hogs. If you have a river on one side of your…

A: We have to make a pen for hogs with 800 feet of fencing. There is a river on one side of the…

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

A: