Worldwide annual sales of smartphones over a five year period were projected to be approximately  q = −10p + 4,360  million phones at a selling price of $p per phone. (a) Obtain a formula for the price elasticity of demand E. E =  10p−10p+4360​       (b) In one year the actual selling price was $289 per phone. What was the corresponding price elasticity of demand? (Round your answer to two decimal places.) E =

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A: Formula: If p=d(q) is demand function and p=sq is supply function and the equilibrium point is q*,…

Q: Worldwide annual sales of smartphones over a five year period were projected to be approximately q…

A:

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

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

A: Given q=-5p+1077

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A: Given,  p=300x+1 and equilibrium quantity is 9 units.

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A: Consider the given function, q=5p-12-1 The increase in consumer surplus is defined as,…

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: QUESTION 3 If the demand equation is D(x) = 96 - 1.98x and the supply equation is S(x) = 0.65x+10,…

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

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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

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Q: Given the demand function D(p) = √300-2p. Find the Elasticity of Demand at a price of $14 0 X

A: We can find elasticity of demand.

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.

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Q: Consider the following demand and supply functions. D(x) = 200 – 0.9x, S(x) = 0.7x + 160, 0 < x < 60…

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A: Topic:- application of integration

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

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Q: QUESTION 3 Given the demand equation D(x) = -0.2x + 0.9 and the supply equation S(x) = 0.8x + -0.8,…

A: The equilibrium price is where the supply of goods matches demand.

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…

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Q: In 1798 the English political economist Thomas R. Malthus claimed that, unchecked by environmental…

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Q: The demand and supply functions for a commodity are given below P: = e0.1q = 100 - D(q) = p = S(q) =…

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Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

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Q: Calculate the consumers' surplus at the indicated unit price  p  for the demand equation. (Round…

A: Let's find.

Q: Given the demand curve p = 35 – q and the supply curve p = 3+ q, find the producer surplus when the…

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

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Q: Answer the given problem. 1. Annie bought one dozen smartphones for P200,000.00 with a discount of…

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Q: A study of about 1,800 U.S. colleges and universities resulted in the demand equation q = 10,000 -…

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Q: Dorothy Wagner is currently selling 80 "I ♥ Calculus" T-shirts per day, but sales are dropping at a…

A: Assume the function St be the number of T-shirts sold in 1 day. As 80 T-shirts are sold in 0th day.…

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Q: Calculate the consumers' surplus (in dollars) at the indicated unit price  p  for the demand…

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Q: Dorothy Wagner is currently selling 40 "I ♥ Calculus" T-shirts per day, but sales are dropping at a…

A: In the question it is asked calculate increasing or decreasing rate of revenue.

Q: lera Calculate the consumers' surplus at the indicated unit price p for the demand equation. q= 90 -…

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Q: If worldwide annual sales of smartphones in 2014-2016 were projected to be approximately q=-4p+1,955…

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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.