An electronics company determines the demand function q=D(x)=sqrt(450-x5 ) for a new game where q is the number of games sold per day when the price is x dollars per game.
a) Find the elasticity.
b) Find the elasticity at nx=3
c) At x=3, will a small increase in price cause the total revenue to increase or decrease?
An electronics company determines the demand function q=D(x)=sqrt(450-x5 ) for a new game where q is...
a. High Wire Electronics determines the following demand function for a new game: 9 = D(x) = V200 – x3. Where q is the number of games sold per day when the price is x dollars per game. Find the elasticity of demand. b. At what prices is elasticity of demand inelastic? Find the elasticity when price is $3. Interpret your result. d. At what price is revenue a maximum? e. What's the maximum revenue? c.
A garden shop determines the demand function Q=D(X)= 4x+300 over 10x+11 during early summer for tomato plants where q is the number of plants sold per day when the price is x dollars per plant. A. find the elasticity B. find the elasticity when x=3 C. at $3 per plant, will a small increase in price cause the total revenue to increase or decrease?
Differentiate. 18) y 4ex2 Solve the problem. 19) Suppose that the amount in grams of a radioactive substance present at time t (in years) is given by A(t)-550e-0.79t, Find the rate of change of the quantity present at the time when t -7. Find the derivative of the function. In 7x2 20) y 21) y- Solve the problem. 22) A CD store determines the following demand function for a particular album q Dx)-V470-x2, where q- the number of CDs sold...
The demand function for a Christmas music CD is given by q=D(p)=0.25(225−p2) where qq (measured in units of a hundred) is the quantity demanded per week and pp is the unit price in dollars. (a) Find the elasticity function E(p)= (b) Evaluate the elasticity at 10. E(10)= (c) Should the unit price be lowered slightly from 10 in order to increase revenue? ? yes no (d) Use the elasticity of demand to find the price which maximizes revenue for this product. p= dollars...
10. The demand for a new computer game can be modeled by pa) 44 -9In(z) where pla) is the price consumers will pay, in dollars, and r is the number of games sold, in thousands. Find the following 1. Find the total revenue R(r) 2. Find the marginal revenue R(x): 3. At what price will the total revenue be maximized? 10. The demand for a new computer game can be modeled by pa) 44 -9In(z) where pla) is the price...
A bakery works out a demand function for its chocolate chip cookies and finds it to be q equals Upper D left parenthesis x right parenthesis equals 567 minus 22 xq=D(x)=567−22x, where qq is the quantity of cookies sold when the price percookie, in cents, is xx. Use this information to answer parts a) through f). A bakery works out a demand function for its chocolate chip cookies and finds it to be q=Dx) = 567-22x, where is the quantity...
The demand for a product can be approximated by q=D(p)=80e−0.01p, where p represents the price of the product, in dollars, and q is the quantity demanded. (a) Find the elasticity function: E(p)= (b) Evaluate the elasticity at 5. E(5)= (c) Should the unit price be raised slightly from 5 in order to increase revenue? ? yes no (d) Use the elasticity of demand to find the price pp which maximizes revenue for this product. p=p= Round to three decimal places as needed.
The demand for a new computer game can be modeled by p(x) = 58 -8 In x, for 0 5x5 800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold in thousands. Recall that total revenue is given by R(x)=x.p(x). Complete parts (a) through (c) below. a) Find R(x). R(x) = b) Find the marginal revenue, R'(x). R'(x)=0 c) How many units will be sold if the price that consumers are...
The demand for a new computer game can be modeled by p(x) = 58 -8 In x, for 0 5x5 800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold in thousands. Recall that total revenue is given by R(x)=x.p(x). Complete parts (a) through (c) below. a) Find R(x). R(x) = b) Find the marginal revenue, R'(x). R'(x)=0 c) How many units will be sold if the price that consumers are...
The demand function for specialty steel products is given, where p is in dollars and q is the number of units. p = 150 3 130 − q (a) Find the elasticity of demand as a function of the quantity demanded, q. η = (b) Find the point at which the demand is of unitary elasticity. q = Find intervals in which the demand is inelastic and in which it is elastic. (Enter your answers using interval notation.) inelastic elastic...