The weekly revenue from the production and sale of x units of salt is given by R(x)=54x−x^2 thousand dollars. The cost function is given by C(x)=2x^2+6x+5thousand dollars. Find the number of units of salt that are to be produced to maximize the profit if 0≤x≤11.

Q: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

A: Solution is given below

Q: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

A: RTT and Sally are the two major companies that operate in Turkish pencil manufacturing industry.…

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200,…

A:

Q: . What is the value of the coefficient c of the equation y = ax³ + bx² + cx + d so that it will have…

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Q: The total cost of producing a type of boat is given by C(x) = 17000 – 20x + 0.02x², where x is the…

A: Given:- The total cost of producing a type of boat is given by C(x) = 17000 - 20x + 0.02x2 where x…

Q: Find two positive numbers whose sum is 15 so that the sum of their square is minimum,

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Q: A manufacturer estimates that it's product can be produced at a cost of C(X)=40000-100x+x^3. If the…

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Q: Find the Break Even Point for the Firm whose cost function C and revenue function R are given.…

A: The given data is: Cost function is given as: Cx=13x+6000  Revenue function is given as: Rx=19x…

Q: suppose a baby food company has determined that its total revenue R for its food is given by R=…

A:

Q: If the price for smoothie supplies which is $35 increases by 5%, what is the minimum price that a…

A: Price of smoothie=$35 After 5% increase in price = 35+35×5100=$36.75

Q: A manufacturer's total cost equation per day is given by the equation TC = 440+4q+,00010². If each…

A:

Q: An ice cream company is designing fancy glass containers for their ice cream. The containers will be…

A: Please see the explanation below

Q: A firm can produce only 3000 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: For a certain company, the cost function for producing x items is C(x)=40x+200 and the revenue…

A: Consider the given: Cx=40x+200Rx=-0.5x-1102+6050Find the…

Q: or a certain company, the monthly profits earned by investing x dollars per month in publication are…

A: Given profit function is,  U=−0.12x2+510x−25000

Q: A fence must be built to enclose a rectangular field with an area of 200 square meters. If the cost…

A: Given, Area of rectangular field = 200 square meters  cost of materials for one pair of parallel…

Q: Find two positive numbers whose sum equals 100 and who maximize the square root of their product. X…

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Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 500 – 0.1x dollars per…

A: Given:       Price p=500-0.1x      Revenue =price times quantity sold         R(x)=500x-0.1x2  cost…

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find out the number of apple trees and number of peach trees that will maximize the revenue.

Q: a company that makes and sells digital cameras has found that the total weekly cost of producing…

A: We have given the cost function C(x)=0.5x^2-210x+26250

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A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 3500 – 0.7x dollars per…

A: Given that the selling price per unit is, p=3,500-0.7x dollars. The total production cost is,…

Q: A manufacturing firm estimates that its total production of automobiles batteries in thousands of…

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Q: Find the number of units that must be produced to maximize the revenue function R = –æ³ + 150z² +…

A: We have to find the number of units and maximum revenue.

Q: In a world where people's happiness is the product of the square of the amount of one's food which…

A:

Q: A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 21,600 square meters.…

A: Given: The Land with an area of 21,600 square meters. One-third of it will be used for a picnic area…

Q: A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate…

A: Given savings rate is  S'x=60-4x                       (i) From eq. (i)…

Q: Plz solve

A: Given: Where x is unit cost of chips, y is cost of unit of labor.

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000+ 100x +…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 1500 – 0.3x dollars per…

A: GIVEN: p = 1500 - 0.3x C(x) = 45000 + 375x + 0.075x2

Q: The fixed costs of a business for production of a particular item over a period are $1000 while the…

A: Solution:-

Q: The sum of two positive integers is 25. What is the minimum sum of their squares ?​

A: Given that, the sum of two positive integers is 25. Let x and y be the two positive numbers whose…

Q: Suppose that the revenue and cost functions for a particular company are given by R(x) = – 3x² +…

A:

Q: The City Council proposed to utilize a government-owned land with an area of 21,600 square meters.…

A: Definition used -                 The maximum value of a function using the second derivative -…

Q: The City Council proposed to utilize a government-owned land with an area of 21,600 square meters.…

A: Given information:  The City Council proposed to utilize a government-owned land with an area of…

Q: A firm can produce only 2900 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Since, A firm can produce only 2900 units per month. where, the monthly total cost is given by  C(x)…

Q: landscape architect wished to enclose a rectangular garden on one side by a brick wall costing…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 3000 – 0.6x dollars per…

A:

Q: The marginal profit from selling x chairs is P'(x)=-10x2 +100x+50 dollars per chair. There are no…

A: The marginal profit from selling x chairs is P'(x)=-10x2 +100x+50 dollars per chair. There are no…

Q: A firm can produce only 1100 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A: Cost  is given by 400 + 200x Revenue is given by 350x -1100x2 We have to find the units to be sold…

Q: A farmer wants to fence an area of 24 million square feet in a rectangular field and then divide it…

A: let the fencing done on a rectangular field with half of a fence done on a parallel side of a…

Q: A management company is going to build a new apartment complex. They know that if the complex…

A: To find the number of apartments for which the cost is minimum and also find the minimum cost.

Q: A management company is going to build a new apartment complex. They know that if the complex…

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Q: A financier plans to invest up to $500,000 in two projects. Project A yields a return of 9% on the…

A: Total investment = x+y Given that the financier plans to invest up to $500,000 in two projects. So,…

Q: To prevent pests, an orchard can have no more than 9 times as many apple trees as peach trees. Also,…

A: To find the number of apple trees and number of peach trees which will maximize the revenue.

Q: A trash company is designing an open-top, rectangular container that will have a volume of 5000 ft°.…

A:

Q: suppose a baby food company has determined that its total revenue R for its food is given by R =…

A: Given:       R = - x3 + 36x2 + 540x    R is measured in dollars and X is the number of units…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.