Factory orders for an air conditioner are about 4000 units per week when the price is $350 and about 6000 units per week when the price is $325. The supply function is given by  p = 0.0275x.  Find the consumer and producer surpluses. (Assume the demand function is linear.)

Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −2p…

A: Given that the demand function is: q = −2p + 200So the revenue function is:R(q)=pq=p(−2p + 200)=−2p2…

Q: A baseball team plays in he stadium that holds 62000 spectators. With the ticket price at $11 the…

A: Given that - A baseball team plays in he stadium that holds 62000 spectators. With the ticket price…

Q: An artist is planning to sell signed prints of her latest work. If 40 prints are offered for sale,…

A: Consider, Revenue in terms of prints produced 'x'   R(x) = x(600 - 5(x-40)) R(x) = 600x - 5x(x-40)…

Q: For the Demand Function, y = D(x) = -(x – 10)² + 50. a) To reach the maximum unit price, how many…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with the vertex…

Q: find the demand equation, express the total revenue a sa function of the price p per item. q=-2p+200…

A:

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

A:

Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $11 the…

A: Total seats in a stadium =70000 When ticket price is $11 , spectators =28000 When ticket price is $9…

Q: A baseball team plays in a stadium that holds 56,000 spectators. With the ticket price at $12, the…

A:

Q: When the price, p, charged for a boat tour was $30, she number of passengers per week, N, was 600.…

A: To find out the demand curve N(p).

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

A: To find the price that maximizes the profit.

Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $9 the…

A:

Q: Find the equilibrium point for the following pair of demand and supply functions. D(p)=786-13p,…

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 4200 – 3p2…

A: Given: Price-demand equation: x=fp=4200-3p2

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

A:

Q: Given the demand function D(p) = √325 - 2p, Find the Elasticity of Demand at a price of $17

A: We can find elasticity of demand .

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 9600 – 6p- ...…

A:

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

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

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

A:

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

A: Given: Demand function: p=40-0.1x Cost function: C(x)=25x+450 Now the revenue function is:…

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 2800 – 2p2

A: We are asked to find the elasticity of demand

Q: A baseball team plays in a stadium that holds 58,000 spectators. With the ticket price at $8 the…

A:

Q: Given the demand function D(p) = /325 – 4p, Find the Elasticity of Demand at a price of $74

A:

Q: The supply function for a product is given by p = q2 + 320, and the demand is given by p + q = 430.…

A: We have to find

Q: During the summer months Terry makes and sellsnecklaces on the beach. Last summer he sold the…

A:

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

A:

Q: The price p (in dollers) and the quantity x sold of a certain product satisfy the demand equation x=…

A:

Q: 4 C. B 10 20 30 40 Quantity Price

A: Given Graph        To find:- The slope (ms) and the supply function thru the given supply curve

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

A:

Q: Factory orders for an air conditioner are about 6,000 units per week when the price is $333 and…

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 3000 – 2p2…

A: Demand function =  x = f(p) = 3000- 2p2  f'(p) = -4p

Q: Factory orders for an air conditioner are about 6,000 units per week when the price is $337 and…

A: Here, let us assume that the demand function is d(x)=mx+c, where x is number of units per week. Now,…

Q: Find the equilibrium point for the demand and supply functions D(p)=108 – 11p and S(p) = 70+8p. %3D

A:

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

A: Topic- price demand and surplus

Q: A company manufactures and sells water bottles. Last year the company sold the water bottles for $14…

A: given that price of water bottle is $14 and the sales average 90 bottles when price is increased by…

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

A:

Q: A baseball team plays in a stadium that holds 58000 spectators. With the ticket price at $11 the…

A:

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

A:

Q: demand

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Q: The supply function product is given by p = q^2 + 360 and the demand is given by p + q = 780. Find…

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Q: During the 1950s the wholesale price for chicken for a country fell from 25¢ per pound to 14¢ per…

A:

Q: A baseball team plays in a stadium that holds 66000 spectators. With the ticket price at $12 the…

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 15,000 -175p…

A:

Q: Find p1 and P2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

A:

Q: ) You are provided with a supply curve and a demand curve, where p is the unit price for a items.…

A:

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: When the price, p, charged for a boat tour was $30, the average number of passengers per week, N,…

A: Given query is to find the function for demand.

Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $8 the…

A: a) Given:         Let x be the average attendance               y be the price    The two points are…

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

A: SOLUTION-

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 9600 – 6p2…

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.