A car-detailing service estimates that its daily cost of waxing q cars is C(q) = 0.04q2 + 37q + 350. If the service collects $60 for each car waxing, find the number of cars the service should wax daily in order to maximize profit.

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

A:

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

A: Solution is given below

Q: If P(x) = 3+ 5x – x represents the profit in selling x thousand Boombotix speakers, how many…

A:

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: A firm’s revenue after selling q items is given by R(q) = 2q3 +36q while the firm’s costs after making…

A: R(q) = 2q3 +36qC(q) = 3q2 −10Profit, P(q) = R(q) - C(q) = 2q3 +36q - (3q2 −10) = 2q3 - 3q2 +…

Q: Travon is a landscape architect who has received a ​$300,000 budget from the city to build a new…

A: Simple calculation problem....

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…

Q: What is the general solution to: y''' - 4y'' = 0

A: Given y"'-4y''=0

Q: The marketing department of a local shoe company found that approximately 600 pairs of running shoes…

A:

Q: The Penn State Math Club has determined that in order to successfully tutor x Math 110 students in…

A:

Q: show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

Q: ood morning, may you help me please. Thank you If a company has total costs C(x) = 16,000 +…

A: Given that, Total cost C(x) = 16,000 + 25x + 0.2x2 Total Revenue R(x) = 305x − 0.8x2, We have to…

Q: The world price of zinc has increased to the point where “moth balled” zinc mines in east Tennessee…

A: The total production mine producing 20,000 tons per year (which is at 100% capacity) when zinc sells…

Q: The manufacturer of a CD player has found that the revenue R (in dollars) is R(p)=-5p^2+1,920p,when…

A:

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: You have a choice between going to an in-state college where you would pay $7500 per year for…

A: To find the yearly expenses in state college and out state college.

Q: A bus service carries 10 000 people daily between Ajax and Union Station. and the company has space…

A:

Q: A farmer, in the business of growing fodder for livestock, has 90 acres available for planting…

A: Total area of land available to a farmer = 90 acres.The cost of seed of alfalfa per acre = $32.The…

Q: f in a monopoly market the demand for a product is p=1600-x and the revenue is R=px, where x is the…

A: Given,  The demand for a product is  p=1600-x Revenue is R = px  where x is the number of units sold…

Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?

A:

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

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: Find the number of units x that produces a maximum revenue R for R=450x-0.25x^2  A.) The feasible…

A: taking first derivative of equation as 0 to get the maximum revenue

Q: A bus service carries 10 000 people daily between Ajax and Union Station and the company has space…

A:

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: The estimated monthly profit realizable by the Cannon Precision Instruments Corporation for…

A:

Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

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

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Q: A food manufacturing company wants to hire an auditing firm to assess their food safety performance.…

A: Suppose x hours be the break evn point, so for calculating total cost of a firm we need to add flat…

Q: a) Solve the following LP using Simplex Method. Max z = 1500x₁ + 2000x₂ + 2400x3 Subject to 3x₁ + x₂…

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Q: A recipe for a berry smoothie, which sell for $3 each, uses 6 oz of berries and 2 oz of bananas. A…

A: We need to maximize revenue.

Q: A certain manufacturer of Blu-ray players will make x thousand units available in the market per…

A:

Q: A tire manufacturing company fixed costs of $20,000 and production cost of $60 per tire. If the…

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Q: manufacturer has RM8,000 to spend on the development and promotion of a new product. It is estimated…

A:

Q: A vegetable farmer in Bulacan ships 1,000 baskets of vegetables on a freight car daily to  Sampaloc…

A:

Q: 2. A management company is going to build a new apartment complex. They know that if the complex…

A:

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

A: Here we find the minimize cost.

Q: Jack is an aspiring freshman at Ulern University. He realizes that ”all work and no play make Jack a…

A: Solution :-

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

Q: If a company has total costs  C(x) = 35,000 + 55x + 0.1x2  and total revenues given by  R(x) =…

A: Given: C(x) = 35,000 + 55x + 0.1x2   R(x) = 625x − 0.9x2

Q: a cost function of C=16x2−133x+9878C=16x2-133x+9878, where CC is the cost in dollars and xx is the…

A: Given query is to find the units to minimize the cost.

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

Q: For a certain company, the cost function for producing x items is C(x)=30x+250 and the revenue…

A:

Q: The cost, in thousands of dollars, of airing x 30-second television commercials during a major…

A: Given: The cost, in thousands of dollars, of airing x 30-second television commercials during  a…

Q: division of Ditton Industries manufactures the Futura model microwave. The daily cost (in dollars)…

A:

Q: I am alrdy consume hamburger at my optimal bundle, my friend gave me 2 free hamburger out of…

A: Yes,U will get benefit from getting another 2 free hamburger.

Q: The Penn State Math Club has determined that in order to successfully tutor x Math 110 students in…

A:

Q: A marketing firm has calculated that the total profits P of a product with x-dollars invested in…

A:

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.