Given the demand equation: D(x)= -.2x +.9 and the supply equation is S(x)= .8x+-.8 find equilibrium price.

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: Consider the price-demand equation given by p=6,000−x/ 1,200. For which value of p is the elasticity…

A: P = (6,000 - X) / 1,200Hence, X = 6,000 - 1,200PdX / dP = -1,200

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

A: The producer's surplus for a supply function g(x) at equilibrium is as follows. PS=p1x1-∫0x1gxdx

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: Given the given cost function C(x) = 7100+ 710x + 0.8x² and the demand function p(x) = 2130. %3D…

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Q: The demand for watches is given by p = 7000 − 2q dollars, and the supply of watches is given by p =…

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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…

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Q: If the demand equation for an item is D(x) = -5.0x + 80 and a supplier is willing to supply 10 items…

A: Given problem:- If the demand equation for an item is D(x) = -5.0x + 80 and a supplier is willing to…

Q: If, in a monopoly market, the demand for a product is p = 2800 − x and the revenue is R = px, where…

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Q: Given the demand function p=20-0.0002x and x=30 , What is the price elasticity of demand at x=30?

A: The given function                      p=20-0.0002x

Q: Suppose that the price-demand and the price-supply equations are given respectively by the…

A: At equilibrium demand and supply (price and quantity sold ) will be equal  Amount saved by buyer  is…

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: The supply function of a form is given as p=x^2+4x+5. Find the Producer’s Surplus given that the…

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Q: The demand for a particular item is given by the demand function D(x) = 1100 - x² %3D Find the…

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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: Find the consumers' surplus at a price level of $8 for the price-demand equation p = D(x) – 0.05x

A: Solution is given below : Answer: 1440

Q: Given: (x is number of items) Demand function: d(x) = 264.6 – 0.2x? Supply function: s(x) = 0.4x?…

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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: The demand equation for the Cold Spot compact refrigerator is 3x + 9p − 2520 = 0, where x is the…

A: The demand equation for cold spot compact refrigerator, 2x+9p-2520=0 The bubbly equation for the…

Q: given the demand equation p=300-x/30 and cost equation C(x)=150,000+30x, find the marginal profit at…

A: Given Find out the revenue function using demand equation Revenue = p times x

Q: The demand function for a product is p=140-2x , where p is the number of dollars and x is the number…

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Q: For the cost function C(x)=7450+190x+0.2x^2 and the demand function p(x)=570, find the production…

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Q: After extensive surveys, the research department of a company has determined that the supply and…

A: The supply equation is ,s(p)=500p-19500The demand equation is,d(p)=20000p

Q: If thẻ demand equation for a product is p= 400 – q² and the supply equation for a product is p = 20q…

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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: Given: (x is number of items) Demand function: d(x) = 841 -0.4x² Supply function: s(x) = 0.6x² Find…

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Q: (b) Given the demand function P = 120 – 3Q, fixed cost, FC of 50 and variable cost, VC of 5 per unit…

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Q: Find producer's surplus at the market equilibrium point if supply function is p= 0.7x+12 and the…

A: Given that, Supply function is, p = 0.7x + 12 and the demand function is, p = 164.7/x We have to…

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

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Q: for  a production level of x units of a commodity, the cost function is C(x)=100x+2500 the demand…

A: Obtain the revenue function as follows.

Q: Given the given cost function C(x)=4200+180x+0.2x^2 and the demand function p(x)=540p Find the…

A: Given cost function is Cx=4200+180x+0.2x2 and the demand function is px=540 We have to find the…

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 function D(p) = 200 – 4p, Find the Elasticity of Demand at a price of $2

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Q: Please answer in complete solutions: Find the equilibrium price p and the equilibrium quantity x…

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Q: Find consumer's surplus at the market equilibrium point given that the demand function is p=V529 68x…

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Q: suppose the supply function for a product is 2p - q - 20 = 0, while the demand function for the same…

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Q: Consider the price-demand equation given by 6,000 – x 1, 200 For which value of p is the elasticity…

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Q: The demand for watches is given by p = 7000 − 2q dollars, and the supply of watches is given by p =…

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Q: A fried chicken franchise finds that the demand equation for its new roast chicken product, "Roasted…

A: The demand for chicken serving is given as follows:                               q=38p0.6 where p…

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: A camera company estimates that the demand function for its new consumer digital camera is p=312e^…

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Q: The monthly demand for insulated coffee mugs is given by q= 4400 − 200p, where p is the price of a…

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Q: Find the market equilibrium price for the demand function D(X) = 2x? – x + 6 And the supply function…

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Q: given a demand equation p=(900+31x-x2)/2000 and a cost equation C=600+3x, find the marginal profit…

A: We have given

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: The demand for watches is given by p = 7000 − 2q dollars, and the supply of watches is given by p =…

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Q: All consumens share a common valuation of 50 and face (there and back) transport costs of t0 per…

A: 40 is the correct answer that is the option c

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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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.