The demand function for a particular pair of sunglasses is p = 155 – 0.045q. %3D (a) If the sunglasses are priced at $65, how many pairs can be sold? (Round your answer to the nearest integer.) pairs (b) Compute the elasticity of demand when the sunglasses are priced at $65. (Round your answer to two decimal places.) At this price, is the demand elastic or inelastic? The demand is elastic. The demand is inelastic.

Q: Find E(p) for the demand function q = 4000 - 40p2, and determine if demand is elastic or inelastic…

A: Consider the given demand function q=4000-40p2 Now, find dq dq=0-80pdpdq=-80pdp

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: Suppose the demand for a product is given by D(p) = - 4p + 118. || - A) Calculate the elasticity of…

A:

Q: Consider the price-demand equation given by 2, 500 Calculate E(p), the elasticity of demand, and use…

A: Given:      p=85-12500x       x=250085-p      Ep=dxdp×px      Ex=dxdp              =ddp250085-p

Q: Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the…

A:

Q: (where Determine the point elasticity of demand of the demand function p k > 0).

A: Given, Demand function p= k/x where k>0.

Q: The demand curve for product a is given as Q = 2000 - 20P. How many units will be sold at $10?…

A: Q =2000-20P  (4)   at P =$ 70                          Marginal Revenue          Q =2000-20×70…

Q: Homework help I think I got the answer just want to make sure

A:

Q: Given the demand function P=400-3x and quantity demanded at x=25,000. Is the demand elastic,…

A: To find the price elasticity of demand, differentiate the demand function P=400-3x with respect to x…

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: For a particular commodity, the demand function is q=4000/4^√p^5. a. Find ε when p=16. ε=   b. Is…

A: The demand function is q=4000p54. Calculate elasticity using following formula, e=dqdp×pq. Obtain…

Q: Consider the price-demand equation given by p= 6,000−x/1,200. Which of the following give values of…

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

Q: If worldwide annual sales of smartphones in 2014-2016 were projected to be approximately q-3p+1,642…

A:

Q: nd price (demand) functions C(q) = 100q+43,700 and p(q) = 2q + 890, what is the marginal revenue at…

A: Please refer to the image below

Q: The demand for a particular item is given by the demand function D(x) = 1400 – r2 %3D Find the…

A: The demand for a particular item is given by the demand function D(x)=1400-x2. Find the consumer's…

Q: The demand for a particular item is given by the function D(x) = 1, 500 – 3x² . Find the consur the…

A: The consumer's surplus: - The term "consumer surplus" refers to the monetary value of a person's…

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

A:

Q: Suppose the demand for a product is given by D(p) = - 6p + 158. A) Calculate the elasticity of…

A:

Q: 12) Find the elasticity of demand when the price is 20 for the demand function 10x + 2p = 100

A: 12. The given demand function is 10x + 2p = 100 To find demand for price 20   13. Given y = 5x2 To…

Q: If worldwide annual sales of smartphones in 2014-2016 were projected to be approximately q=-3p+1,389…

A: Given: q=fp=-3p+1,389, where p is the selling price in dollars.

Q: Suppose the demand function for a product is given by  p=1/3 ln(5,000-q/(q+1) where p is hundreds…

A: Formula used. If p=fq is the demand for the q units and price p, then at the points qA,pA , the…

Q: Consider the following demand function: Step 1 of 2: Find the elasticity function. Answer E(x) = p =…

A:

Q: Suppose the demand function for a product is given by 5,000 - where p is in hundreds of dollars and…

A: The value of elasticity is given by: E(p)=pq·dqdp

Q: Suppose the demand function for a product is given by p= In 5,000 - g q + 1 where p is in hundreds…

A: Given demand function: p=14ln5000-qq+1 Solution:…

Q: Is demand elastic, inelastic, or unit elastic at a price of p = 100? 875 — р — 0.05р? -

A: x=875-p-0.05p2 When p = 100, x=875-100-0.051002=275 Now differentiating x=875-p-0.05p2 with respect…

Q: Suppose that a price p and demand x are related through the price-demand equation 40p+x=5,000.…

A: We have given,Price-demand equation: 40p + x = 5000We need to find elasticity of demand

Q: The demand function for a particular pair of sunglasses is p = 135 – 0.095q. (a) If the sunglasses…

A: The given demand function for a particular pair of sunglasses is: p=135-0.095q...(1) where q is the…

Q: A company has determined that its price-demand function for its sale of its product is given by…

A: Price - demand function :  p + 0.05 x = 85  x =  ( 85 - p ) / 0.05

Q: If worldwide annual sales of smartphones in 2014-2016 were projected to be approximately q=-4p+1,521…

A: Solve the following

Q: If worldwide annual sales of smartphones in 2014-2016 were projected to be approximately q=-5p+1,077…

A: Given that the annual sales was approximated by q=-5p+1077. We need to find the price elasticity of…

Q: For the following demand equation compute the elasticity of demand and determine whether the demand…

A:

Q: Given the demand function D(p) : 350 — Зр", Find the Elasticity of Demand at a price of $6 At this…

A:

Q: 5P+ P? and Find the demand function Q = f (P) if elasticity of demand is Q = 500 when P = 10

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: For the following demand equation compute the elasticity of demand and determine whether the demand…

A:

Q: A firm faces a demand function of the form P = 90 – 2Q? (a) Plot the graph for their total revenue…

A:

Q: Consider the price-demand equation given by 8 x. 2, 500 Calculate E(0.25), where E is the elasticity…

A:

Q: Consider the price-demand equation given by p=8/5 − 1/2500x. For which value of p is the elasticity…

A: As a first step, let's express demand "x" as a function of price "p"p=8/5 − 1/2500x.Hence, 1 / 2500x…

Q: In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the…

A: follow next step

Q: For a particular commodity, the demand function is q=1/4 (400-p^3). a. find e when p=1. e=________…

A:

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

A: To work out the formula for the elasticity of demand at price p

Q: If worldwide annual sales of smartphones in 2014-2016 were projected to be approximately q=-3p+1,887…

A: Given q=−3p+1887 We have to find the price elasticity of demand when the price is 150 The elasticity…

Q: For the following demand equation compute the elasticity of demand and determine whether the demand…

A:

Q: Find the elasticity of demand (E) for the given demand function at the indicated values of p. Is the…

A:

Q: A bakery works out a demand function for its chocolate chip cookies and finds it to be q = D(x) =…

A: we have to find the elasticity.

Q: Suppose the demand function for a product is given by 1 p = 5,000 – q q + 1 where p is in hundreds…

A: Given Demand function,  P=13ln5000-qq+1Differentiating with respect to q  dpdq=ddq13ln5000-qq+1…

Q: 1. The demand curve for snow-cones at a local shop is given by q(p) = 420 – 3p. a. Sketch a graph of…

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A software entertainment company recently ran a holiday sale on its popular software program. Using…

A:

Q: For the following demand equation compute the elasticity of demand and determine whether the demand…

A:

Q: Suppose the demand for an item is x=10 +1/p2   Evaluate the elasticity at E(0.5)

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.