Factory orders for an air conditioner are about 6,000 units per week when the price is $337 and about 8,000 units per week when the price is $305. The supply function is given by p = 0.0273x. Find the consumer and producer surpluses (in dollars). (Assume the demand function is linear.)   consumer surplus? producer surplus?

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: Discount Stereo's most popular model has been found to have a monthly demand of 185 when the price…

A:

Q: The supply function for a product is given by p = q2 + 340, and the demand is given by p + q =…

A: Equilibrium occurs when price equals demand.   Substitute the supply function in the demand function…

Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $10 the…

A:

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: 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: 24. Let p 500 0.025 and C(z) = 350x + 50000 be the price-demand equation and the monthly cost,…

A: Given thatPrice – demand function

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: 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: For the demand equation, express the total revenue R as a function of the price p per item. q = −8p…

A: revenue function is R=pq

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

A: Please refer to the image below.

Q: A bookstore owner can sell 15 magazines at a price of $1.48 per magazine. If the price is $1.30, she…

A:

Q: The price p and the quantity x sold of a certain product obey the demand equation 1 p= -7x+140,…

A: Given that  p=-14x+140, 0≤x≤560 where x is the quantity. The Revenue is given by…

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

A:

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

A:

Q: The supply function for a product is given by p = q2 + 340, and the demand is given by p + q = 760.…

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: If the revenue function for a particular commodity is R(p) = −5 q(p) = -56p² + 62p, what is the…

A:

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

A:

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

A: Dp=108-11p & Sp=70+8p

Q: Mary sells bottles of lemonade. The demand function for her lemonade is given by D(q)=100−1.5q, and…

A:

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: You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the…

A: General linear demand equation of function y with variable x, where m is the slope and c is the…

Q: Factory orders for an air conditioner are about 4000 units per week when the price is $350 and about…

A:

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

A: When the cost of the necklace is $10 then average sale is 20 per day. When he increased the price by…

Q: During the summer months Terry makes and sells necklaces on the beach. Last summer she sold the…

A:

Q: The price p (in dollars) and the quantity q sold of a certain product obey the demand Equation : q…

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

A:

Q: Use the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 4500 -3p E(p)…

A: The Elasticity of demand is defined by  E(p) = p * f ' (p) / f(p)

Q: commodity has a demand function modeled byp = 80 − 0.2x and a total cost function modeled byC = 30x…

A:

Q: 52,000 spectators. With the ticket price at $11 the average attendence has been 19,000. When the…

A: In this question we will use basic of calculus. We will use the concept of linear function and then…

Q: You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover…

A:

Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

A:

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

A:

Q: A bicycle tire inner tube producer can sell 22 inner tubes at a price of $2.12 per inner tube. If…

A:

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

A:

Q: A baseball team plays in he stadium that holds 64000 spectators. With the ticket price at $12 the…

A:

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: Maximurm Revenue When a wholesaler sold a product at $30 per unit, sales were 380 units per week.…

A: Maximum revenue at a price = $53

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.