n this problem, p is in dollars and x is the number of units. Find the producer's surplus at market equilibrium for a product if its demand function is  p = 196 − x2  and its supply function is  p = x2 + 12x + 182.

Q: 2. Solve the following equation using LU factorization with partial pivoting. + x + 2x, + 2x, = 6 +…

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Q: Find the Producers Surplus for the price-demand and the supply-demand equations given, if the…

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Q: The demand equation for the Cold Spot compact refrigerator is 2x + 7p – 1760 = 0, where x is the…

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Q: If y" = 9x + 2x -1 then the particular solution is:

A: given differential equation  y'' =9x2+2x-1

Q: Find particular Solution of y-2y'ty =x-6x +2xe a 2.

A: Solution.  Given the differential equation                   y''-2y'+y=x2-6x+2x2 ex…

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Q: What is the particular solution of the function 6x4 – 2x2 + 9x – 1? Aa4 + Bæ³ + Ca² + Ex + F O (Aa4…

A: What is the particular solution of the function 6x4 - 2x2 + 9x - 1 ?

Q: Find the particular solution: (D^2-4)y=4x-3e^x

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Q: if the demand function of a firm is QD(P)=5-3p and its supply function is QS(p)=14+6 what is the…

A: QD(P)=5-3p QS(p)=14+6

Q: Given the supply and demand functions of good p = x3 + 2xs + 12 p = -x3 – 4xp + 68 Calculate the…

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Q: If the cost to manufacture and sell a certain product is given by C (x) = 600x + 53, 000 and the…

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 72x2/3 − 4x

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Q: find the (general and especial) solution of y" - y' - 12v = 3x2 + 1 *

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Q: Find the number of units that must be produced and sold in order to yield the maximum profit, given…

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR SOLUTIONS. 1. YOZECH Store sells two types of toys, A and…

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Q: The supply equation for the BWS Bluetooth wireless loudspeaker is p = 0.025x + 90 where x is the…

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Q: What is the particular solution for y′=6e^x+x^2−7x y(0)=6?

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Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 36x2/3 − 2x

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Q: Tim is looking at buying business cards from two different companies. Company A, charges $50 for the…

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Q: 19 Min Z= 2X1+3X2 S.t: X1 ≥ 125 X1+X2 ≥ 350 2X1+X2 ≤600 X1. X2 > 0 Using the simplex method, In the…

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Q: 3) A company sells two different types of candles, and their profit function for a week is given by…

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Q: A popular three-story dollhouse has a price-demand equation given by p=D(x)=207-0.8x and the…

A: The demand equation is: p=207-0.8x The supply equation is: p=0.2x+132

Q: a. Solve x2 + 2x-y+1%30 and x + y-1=0 using Elimination Method

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Q: A car service charges customers a flat fee per ride (which is higher during rush hour traffic) plus…

A: image is attached

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Q: General Solution of y′′ + 4y = 5ex − 4x2

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Q: in order to 14. Production for Maximum Profit produces two types of DVD player: Vista and Xtreme.…

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Q: 3. Suppose the equation a(x, y) =-4x2+80x-2y2+60y+100, models profit when xrepresents the number of…

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Q: At the start of the millennium, State A was the third most populous state in the country, followed…

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

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Q: A car service charges customers a flat fee per ride (which is higher during rush hour traffic) plus…

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Q: In the Lotka-Volterra predator-prey model, the number of foxes and rabbits in a park depend on each…

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Q: Find an approximate solution to the nonlinear algebraic equation 4x-x³ = P P=2.5

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Q: 3. Suppose the equation (x, y) =-4x2+80x- 2y2+ 60y+ 100, models profit when xrepresents the number…

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Q: find the solution of y''-2y'=x - e^3x

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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.