60. The number of apples produced by each tree in an orchard depends on how densely the trees are planted. If n trees are planted on an acre of land then each tree produces 900-9n apples. So, the number of apples produced per acre is A(n)=n(900– 9n). How many trees should be planted per acre to obtain the maximum yield of apples? What is the maximum number of apples produced per acre?

Q: Suppose that the price per unit in dollars of a cell phone production is modeled by p=60-0.0125z,…

A: Given: the revenue function is R=x·px and px=60-0.0125x. To be find: the production level that will…

Q: 6. Find two numbers whose sum is a, if the product of the square of the one by the cube of the other…

A:

Q: A weight lifter wants to mix two types of protein powder. One is a whey protein and one is a soy…

A:

Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A:

Q: the number of mango trees that leads to a maximum yield

A: We have to find the maximize yield of mangoes yield = amount of trees * average yield per tree. Let…

Q: 10. A wire of length 20m is cut into two parts, one of which is bent into a circle and the other…

A:

Q: 2. Suppose an airline policy states that all baggage must be rectangle-shaped with the sum of the…

A: We first calculate the side of square box then calculate its volume. Using formula Volume of cube…

Q: How do I find the minimum number for the upper quarter of the time to pass a kidney stone  .…

A: Obtain the minimum number for the upper quarter of the time to pass a kidney stone. The minimum…

Q: 3. If 100x units of a particular commodity are demanded when p dollars is the price per unit, x² +p²…

A:

Q: 8. The area of a rectangle whose perimeter is a fixed 80 feet is given by A 40w – w² , where w is…

A: Perimeter of rectangle is 80 feet p=80 2(l+w)=80 l+w=40l=40-w Area of rectangle:- A=lw =(40-w)w…

Q: 4. A company finds that the total cost of manufacturing x units of a certain product is given by…

A: 4 a) Given that, the cost function is Cx=12x2+100x+125000. Obtain the average cost function Cx=Cxx.…

Q: 2. Find two numbers whose sum is 50 and whose product is a maximum.

A:

Q: 1. The sum of two numbers is 12. What are these numbers if the product of the first and the cube of…

A: Given problem Given that   The sum of two numbers = 12 Let the two numbers be x and y. We have to…

Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A:

Q: It costs a company $15 to purchase an hour of labor and $20 to purchase an hour of capital. If L…

A: Let the function denoting number of machines produced is fL,K=0.075L2/3K1/3 for the constraint…

Q: A company has $24000 to spend on the development and promotion of a new product. The company 5 1…

A: It is given that x dollars is spent on development and y dollars is spent on promotion Total amount…

Q: A rectangular poster is to contain 200 square inches of print. The margins at the top and bottom of…

A: Given ,A rectangular poster is to contain 200 square inches of print.The margins at the top and…

Q: 8. The area of a rectangle whose perimeter is a fixed 80 feet is given by A= 40w– w² , where w is…

A:

Q: 11. What is the minimum product of two numbers whose difference is 18?

A: lets' numbers are x,x-18 where; x>x-18 so, productp of them will be p=xx-18=x2-18x now, product…

Q: If the nuts vendor has a fixed cost of $550 and every pack of nuts cost him $2.50 to produced. By…

A: Given problem is  :

Q: A company manufacture two different types of call phone F and E , each unit of call phone S costs (D…

A: From the given information, it is required to determine the number of products companies manufacture…

Q: A movie theater wants to determine the price per ticket that should be charged in order to maximize…

A:

Q: An energy-drink manufacturer has a daily production cost of ? = 70,000 − 120? + 0.055?2, where C is…

A: The cost function is C(x)=70000-120x+0.055x2, where C is the total cost (in dollars) and x is the…

Q: 1. The Jalopy Car Rental can rent 95 cars per day at a rate of $12 per day. For each $1 decrease n…

A: Given query is to find the maximum revenue.

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…

Q: The number of patrol officers needed on staff depends on the crime rate of the county, which is…

A: Given information: County Population Yearly total Cases Crime rate Number of officers currently…

Q: #4. Suppose the profit from the sale of x units of a product is P = 6400x – 18x² – 400. - a. What…

A:

Q: 6. The sum of two numbers is k. Find the minimum value of the sum of their cubes.

A: Minimum value of the sum of their cubes is

Q: 8. A box is to be made with an open top from a sheet of cardboard by cutting four equal squares out…

A:

Q: An open box of maximum volume is to be made from a square piece of material, 24 inches on a side, by…

A:

Q: 1. A private telephone company serving a small community makes a profit of *12.00 per subscriber, if…

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

Q: 2. In a certain type of soil, if 20 mango trees are planted, each will yield 100 mangoes. But if…

A:

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

A: Let x1 acre of land is allocated to corn, x2 to wheat and x3 to soybean. Then constraint equations…

Q: 9. A student wishes to maximize the amount of poster space for an art exhibit. The requirements are…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Exponent Industries has determined that the cost of labor for producing x coffee tables is 0.4x2 +…

A: Given : Cost of labor for producing x coffee tables is 0.4x2 + 300x + 500 pesos while the cost of…

Q: 1. The sum of two numbers is 21. If the product of one of the numbers by the square of the other is…

A: Since you have posted multiple questions I can do first question as per our company guidelines…

Q: 1. A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

A: The solution is given in the next steps.

Q: 1. Amazon wants to create an open-top box with a square bottom with only 149 in2 cardboard (the…

A:

Q: 6) A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

A:

Q: 4.6.29-BE Question Help A commercial cherry grower estimates from past records that if 25 trees are…

A: Given informationPlanted trees per acre = 25Average yield for each trees = 41 poundsAdditional trees…

Q: A car rental agency rents 440cars per day at a rate of $30 per day. For each $1 increase in​ rate,…

A:

Q: 2. A small generator burns two types of fuel: low sulfur and high sulfur to produce electricity. For…

A: The following steps are used to find the solution of the linear programming problem by graphical…

Q: A car rental agency rents 200 cars per day at a rate of $20 per day. For each $1 increase in rate, 5…

A: Given that the car rental agency rents 200 cars per day at a rate of $20 per day. Also, for each $1…

Q: 4.6.29-BE Question Help A commercial cherry grower estimates from past records that if 25 trees are…

A: Let x be the number of trees more than 25.Then total number of trees becomes,

Q: 19. Suppose an airline policy states that all baggage must be box-shaped with a sum of length,…

A:

Q: In a G/G/3 system with average service time equal to 6.9 minutes, average time in system equal to…

A:

Q: 2. In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number…

A:

Q: 11. Determine three positive numbers whose sum is 21, so that your product is the maximum possible…

A:

Q: A company manufacture two different types of call phone F and E, each unit of call phone S costs (D…

A: Given that the company manufacture two types of call phone F and E. Consider the given condition as…