The demand equation for a certain make of toys is given by p=160–0.2x, where p is the unit price in dollars and x is the quantity demanded in units of a hundred. The supply function for these toys is given by p = 4x , where pis the unit price in dollars and x stand for the number of toys that the supplier will put on the market, in units of a hundred. Determine a) the market equilibrium. b) the consumers' surplus at market equilibrium

Q: Suppose that the monthly demand function of a particular commodity is given by P= 200 -0.4x and the…

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

A: The price-demand equation is p=Dx=40-0.2x and the price-supply equation is p=Sx=27.5+0.001x2. (a)…

Q: An automobile manufacturer finds that the demand equation of producing a certain product is p = 350…

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Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by q = (84 -…

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

A:

Q: The management of Lorimar Watch Company has determined that the daily marginal revenue function…

A:

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (106 −…

A: Given: The consumer demand is q = (106 − 2p)2, where p is the price per dumbbell, and q is the…

Q: (b) The demand curve for a swivel chair is given by p 4000(3ª) dollars per swivel chair, where p is…

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Q: If the demand function for a commodity is given by the equation p2 + 169 = 1200 and the supply…

A: Here is the solution of the given problem.

Q: Suppose the supply-demand equations for a logo sweatshirt in a particular week are p-55-0.10q for…

A: Given: Demand function: p=55-0.10q   ……1   Supply function: p=25+0.20q   ……2

Q: Suppose that the supply function for honey is p=​S(q)=0.2q+2.2​, where p is the price in dollars…

A: Given supply function P=S(q)=0.2q+2.2 →         1    equilibrium prize=$4.40→            2    So…

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

A:

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

A:

Q: The relationship between sales S and the amount x and y spent on two advertising media is given by…

A: Given: S=200x5+y+100y10+y To find: Solution

Q: The price-demand equation and the cost function for the production of table saws are given,…

A: A) Price demand equation x=6000-20p Express p in terms of x p=6000-x20 Domain of p 0≤x≤6000   option…

Q: Based upon market research, the Hawthorne Company has determined that consumers are willing to…

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Q: The management of Lorimar Watch Company has determined that the daily marginal revenue function…

A:

Q: The demand and supply functions for your college newspaper are, q = −9,000p + 4,000 and q = 2,000p +…

A:

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

A:

Q: (b) The demand curve for a swivel chair is given by p 4000(3") dollars per swivel chair, where p is…

A:

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

A: At the equilibrium point, the demand function and supply function must be equal.

Q: Suppose that the price p​ (in dollars) and the weekly sales x​ (in thousands of​ units) of a certain…

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

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Q: 4. The price-demand equation and the cost function for the production of infrared thermometers are…

A: The price-demand equation and the cost function for the production of infraredthermometers are…

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: Suppose that the demand curve for corn has the equationp= -0.14q + 8.012 and the supply curve for…

A: Solution is here

Q: The relationship between sales S and the amount x and y spent on two advertising media is given by…

A: Here, the sales, S is related to the amount x and y spent on two advertising media as follows:…

Q: When a wholesaler sold a product at $40 per unit, sales were 248 units per week. After a price…

A: To find the the price

Q: A real estate office handles an apartment complex with 60 units. When the rent per unit is $98 per…

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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: Suppose that a price p and demand x are related through the price-demand equation x+400p=8,000.…

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Q: When a wholesaler sold a product at $50 per unit, sales were 208 units per week. After a price…

A: Given that  The demand function is linear. A product is sold at $50 per unit and the sales is 208…

Q: Suppose that the supply function for honey is p​=S(q)=0.2q​+22, where p is the price in dollars for…

A: The supply function for honey is p​=S(q)=0.2q​+2.2 Where, p is the price in dollars for an ​8-oz…

Q: The demand curve for a product is given by q= 120, 000 – 500p and the supply curve is given by q=…

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Q: The table below contains price-demand and total cost data for the production of treadmills, where p…

A: Given information: The data represents the values of the variables x = annual demand of treadmills,…

Q: (b) The demand curve for a swivel chair is given by p= 4000(3ª) dollars per swivel chair, where p is…

A: NOTE: Refresh your page if you can't see any equations. . here we have p=256.6

Q: The demand equation for a manufacturer's product is p= 100 – q, 0<q< 60, where q is the number of…

A:

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

A:

Q: When a wholesaler sold a product at $50 per unit, sales were 240 units per week. After a price…

A: Given: When a wholesaler sold a product at $50 per unit, sales were 240 units per week. After a…

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: price

A: At Equilibrium, Demand = Supply,

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

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Q: The weekly demand and supply functions for a special tent are given by p = −0.1x 2 − x + 40 p =…

A: Please find attachment for the details solution

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (98 −…

A: Given : The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q =…

Q: The weekly demand and supply functions for Woolmayer are given by p = d(x) = 320 - 4x , and p = s…

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Q: A company that conducts bus tours found that when the price was $9.00 per person, the average number…

A: Here, $2 decrease in the price results in 500 increase in the number of customers.

Q: The demand and supply functions for your college newspaper are, q = −11,000p + 2,200 and q = 3,000p…

A:

Q: An automobile manufacturer finds that the demand equation of producing a certain product is p = 350…

A: According to question given that Demaind Equation p=350-qCost function c=12q2+50q+500 where 50≤q≤120

Q: Assume that the linear cost model applies. If the total cost of producing 1600 items at $15 each is…

A: here we want linear relation  for 1600 item cost for each is $15 1600*15 = $24000 so extra is 24410…

Q: The management of Lorimar Watch Company has determined that the daily marginal revenue function…

A: Given: The management of Lorimar Watch Company has determined that the daily marginal revenue…

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.