In this problem, p is in dollars and x is the number of units. The demand function for a certain product is  p = 147 − 2x2  and the supply function is  p = x2 + 33x + 12.  Find the producer's surplus at the equilibrium point. (Round x and p to two decimal places. Round your answer to the nearest cent.) $

Q: Find the equilibrium for the given supply and demand functions below. s(x) = x2 d(x) = (x - 7)2

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Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A: Given: The supply function for a good is given by, p(x)=4x2+26x+3. If the equilibrium price is $171…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: The given demand function for a certain product is p=81-x2 and the supply function is p=x2+2x+69.…

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

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Q: Given that the demand equation D(x)=-0.2x=0.9 and the supply equation S(X)=0.8x-0.8, find the…

A: Equilibrium Price: The price that makes quantity demanded equal to quantity supplied is called the…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: solution:-Given Let demand functiond(x)=143-2x2supply functions(x)=x2+33x+44

Q: The supply function for a product is given by  p = q2 + 380,  and the demand is given by  p + q =…

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Q: The demand function for a certain product is  p = 100 − x2 and the supply function is p = x2 + 6x +…

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Q: 2. A manufacturer sells magnetic phone mounts for $24. The monthly fixed costs for the company are…

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Q: (a) Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750ml size…

A: Given (a) Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for…

Q: 2. A manufacturer sells magnetic phone mounts for $24. The monthly fixed costs for the company are…

A: Given: Selling price of the phone mount is, $24. Monthly fixed cost for the company is, $31,000.…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

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Q: If the supply function for vehicle floor mats is 4p−q−152=0 and the demand function is…

A: We are given supply and demand functions. By using these functions, we have to find the equilibrium…

Q: Given the demand and supply functions by: p + q²= 1000 and p- 25q = 50, respectively. If a $50 tax…

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Q: Find the consumers surplus at a price level of p=$7 for the price -demand equation p=D(x)=25-0.4x.

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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: In this problem, p and C are in dollars and x is the number of units. A monopoly has a total cost…

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

A: At equilibrium, the demand curve crosses the supply curve . Hence, xs=xp=x . The solution of the…

Q: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, find the…

A: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, then we have…

Q: Find the consumer surplus at the equilibrium point. 29) D(x) = 5x +2; x = 0 A) $2 B) $5 C) $7 D) $0

A: Let D(x) be the demand function . Then the consumer surplus…

Q: 5- The demand equation for a monopolist's product is p = 200 – 0.98q, where pis the price per unit…

A: Let p, q, c and R be the price, quantity, cost and revenue, respectively. Then, use the following…

Q: If the demand function of a firm is Qp(p) = 50 – 3p and its supply function is Qs(p) = 14 + 6p. What…

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Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Given: The demand function for a certain product is p=144-x2 and the supply function is p=x2+2x+84.…

Q: The demand function for a certain product is p = 121 − x2 and the supply function is p = x2…

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Q: Given the demand equation p(x) = V 10000 - 0.01x2 and the supply equation P(x) = 0.1x + 20, find the…

A: Given:Demand equationpx=10000-0.01x2Supply equationp(x)=0.1x+20

Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

A: Given Px=47-x2and  equilibrium price  P=11we need to find sales level

Q: If the demand equation for a product is p = 400 – q? and the supply equation is p= 20g + 10 then,…

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Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: The demand function is D(x)=6-x, for 0≤x≤6 and supply function is S(x)=x+6. a) Find the equilibrium…

Q: Given the demand equation D(x)= -.2x +.9 and the supply equation s(x)= .8x + -.8x find equilibrium…

A: Given that, the demand equation D(x)= -.2x +.9  the supply equation s(x)= .8x + -.8x We know that…

Q: 1. The demand function for a good is shown by the equation P = 20 -Q, while the supply function is P…

A: Consider the provided question, Given, demand function, P = 20-Q and supply function, P = 2+0.5Q

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Given, The demand function = p =81 -x2  The supply function = p =x2 +2x+69    We have to find the…

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: If the demand equation of a product is p= 210-g and the supply equation for a product is p= 29+2…

A: Given :  Demand function: 210-qSupply function: 2q+2 To find Producer Surplus

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

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Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: We know at equilibrium point demand function and supply function gives equal value.

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at…

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Q: The supply and demand equations for a particular product are p= 80 + 0.18q andp=…

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Q: Find the equilibrium point if the demand equation for a product is p- 0-3 and the supply equation is…

A: We will find out the required equilibrium point.

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given that,D(x) = (x-9)2 and S(x) = x2 + 4x + 37(a) The equilibrium point ⇒ Demand Function = Supply…

Q: 25. If demand for a product is P = 80 - 3Q and the cost function is C = 2Q2 - 200 what is the profit…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A: given:- p = 4x^2 + 30x + 6.

Q: In this problem, p is in dollars and x is the number of units.Suppose that the supply function for a…

A:

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A: Note: in the given question, rounding is mentioned.. So i rounded to nearest cent

Q: Find the producers' surplus at a price level of p = $59 for the price-supply equation below. p= S(x)…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: (a) Given that, the demand function is Dx=x-92 and the supply function is Sx=x2+2x+21. In order to…

Q: If the demand function of a term is QD (p) = 50 - 3p and its supply function is Qs (p) = 14 + 6p .…

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Q: The equilibrium price of the given demand and supply functions is p = -5xp + 80 p = 2xs + 10 Select…

A: Equilibrium price is achieved when quantity demanded is equal to the quantity supplied.

Q: Suppose the demand for a product is given by p = −0.8q + 150 and the supply for the same product is…

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.