In 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 = 144 − x2  and its supply function is  p = x2 + 8x + 102.  (Round your answer to the nearest cent.)

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

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Q: Find the consumers and producers surplus if for a product d(x)=16-.011X^2 and s(x)equals .005X^2.…

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Q: Suppose that the total cost of producing q widgets is given by C(q) = 0.02q + 50g + 1000. Also,…

A: Given that, Total cost C(q) = 0.02q2 + 50q + 1000 Price of a widget p = 100 - 0.005q  a) Total…

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

A: Given : Demand Function : p = 121 - x2 Supply Function : p = x2 + 6x + 65 Now, 121 - x2 = x2 + 6x +…

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: Given cost and price (demand) functions C(q) =110q + 40,600 and p(q) = - 2.1q+ 900, what profit can…

A: The price for which an article is bought is called its cost price. The price at which an article is…

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: A company produces bags, each of which could be sold for $150. It has a fixed monthly cost of…

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Q: If the demand equation of a good is P = 40 − 2Q find the level of output that maximizes total…

A: Given, P= 40- 2Q

Q: Find the daily consumer surplus if the demand equation is given by p=−0.3·q+120, and the business…

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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: Find the consumers' surplus at a price level of p= $160 for the price-demand equation below. p =…

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Q: Find the consumers' surplus at a price level of p= $150 for the price-demand equation below. p= D(x)…

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Q: The demand function and the supply function of a good are given by:D=14+5p-p² and S=3p -1. %3D Find…

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Q: The demand for your hand-made skateboards, in weekly sales, is q = -3p+800  if the selling price is…

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

A: From the given supply and demand functions 81-x2=x2+6x+25 2x2+6x-56=0 x2+3x-28=0 x=-7, 4

Q: The supply function for a product is 2p − q − 50 = 0, while the demand function for the same product…

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

A: GivenDemand functionp = 196 − x2Supply functionp = x2 + 12x + 182where p is in dollars and x is the…

Q: Find the consumers' surplus at a price level of p = $130 for the price-demand equation below. p=…

A: p=400-0.02xat p =130130=400-0.02x0.02x=270x=2700.02=13500x=13500TE=px =130(13500)TE=1755000

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: The demand function for a product is  p = 112 − x2.  If the equilibrium price is $12 per unit, what…

A: Consumer's surplus= $1,152

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

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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: Consider the given demand function and supply function, p=183-2x2 and p=x2+33x+24 respectively the…

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

A: Demand function is:  p=100-x2 Supply function is: p=x2+6x+44

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

A: Given that:                   Demand function, p=149-x2Equilibrium price = $5 per unit

Q: For a manufacturer's product, the demand function is p = 240 + 57q - q² At what level of output…

A: Let the demand function is p=240+57q-q2   To determine: The value of q at which the revenue function…

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

A: Given demand function q=4000-250p  and the cost function C(q)= 500+0.2q So, Profit…

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: Find the consumers' surplus at a price level of p= $120 for the price-demand equation below. p= D(x)…

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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: the supply function for a product is given by p = 100eq q + 1 , where q represents the number of…

A: the supply function for a product is given by  p =  100eq q + 1 ,  where q represents the…

Q: Find the producer's surplus at market equilibrium for a product if its demand function is p = 169 −…

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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 = p =81 -x2  The supply function = p =x2 +2x+69    We have to find the…

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

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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…

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

A: Given problem:- In this problem, p is in dollars and x is the number of units. Find the producer's…

Q: In this problem, p is the price per unit in dollars and q is the number of units. If the weekly…

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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: Given the given cost function C(x) = 5500 + 840x + 0.8 and the demand function p(x) = 2520. Find the…

A: Explanation and solutions is given below....

Q: The supply function for a product is 2p – q - 30 = 0, while the demand function for the same product…

A: The supply and demand function are  2p-q-30=0              ⋯⋯1p+10 q+30=6000  ⋯⋯2   Substitute…

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…

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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: Suppose that the demand function is p=90-3x and the cost function is C(x)=150 + 24x. Find the value…

A: Revenue function = R= px

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.