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- The director of a recreation center in a small college town is considering changing the way he prices access cards. He has hired an economic consulting firm to estimate the demand for access cards. The firm has classified people who go the recreation center into two groups, and has come up with two demand functions. The demand curves for the general public (Q) and students (Q,) are given below: Q = 700 – 4P Q, = 1,300 – 5P a. If the current price of access cards is $100, identify the quantity demanded by each group. b. Find the price elasticity of demand for each group at the current price and quantity. c. Is the director maximizing the revenue he collects from card sales by charging $100 for each card? Explain. d. What price should he charge each group if he wants to maximize revenue collected from card sales? Check whether the new total revenue is indeed greater than the old one.Miron Floren, of Lawrence Welk Show fame, now tours the country performing at accordion concerts. A careful analysis of demand for tickets to Mr. Floren’s concerts reveals a strange segmentation in the market. Demand for tickets by senior citizens is described by Qo = 500P^–3/2 , while demand by those under 65 years old is Qy = 50P^–4. If the marginal cost of a ticket is £3, how should tickets to Mr. Floren’s concerts be priced to maximize profits? A. £3 for senior citizens and £8 for those younger B. £6 for senior citizens and £12 for those younger C. £9 for senior citizens and £4 for those younger D. £4.71 for all tickets E. £12 for senior citizens and £4.50 for those youngerSuppose that you are in charge of a toll bridge over the Mississippi River. The demand for bridge crossing Q is given by the following: 2P = 20 - Q a) How many people would cross the bridge if there were no toll? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT) b) The toll bridge operator is considering setting up a price of $5.00. At that price, how many people will cross the bridge? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT) c) How many people would cross the bridge if the toll is set at $10.00? (YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT)
- Question #2 Consider the following demand function for frozen dinners where QD is the quantity of frozen dinners demanded per week, P is the price per frozen dinner, PF is the price per fast food meal, Y is the average yearly consumer income, and A is the number of advertisements for frozen dinners. Demand Function for Frozen Dinners: QD = 1,000 – 10P + 20PF – 0.01Y + A Suppose that a frozen dinner sells for $4, a fast food meal sells for $6, average yearly consumer income is $50,000, and that there are 20 advertisements for frozen dinners. Calculate and interpret the income elasticity of demand. Calculate and interpret the cross-price elasticity of demand with respect to fast food meals.Find the price-demand equation for tickets to a particular zoo when the demand is 225 tickets per day at $15.00 per ticket, given that the marginal price-demand function, p′(x), for x number of tickets per day, is given as p′(x)=−0.015e−0.01x. If the zoo only sells 150 tickets per day, what should the price be? Do not round until the end. Round your answer to the nearest hundredth and do not include a dollar sign in your answer.A city has two neighborhoods. If the demand for lawn mowing services is QA-100-4P in one neighborhood and QB-250-10P in the other, then the total demand for lawn mowing services in this urban area is. O Q = 350-14P Q- 175-7P Q= 150-6P
- QUESTION 4 For the following demand function: Q(P) = 36,500-5P Calculate the price where the quantity demanded falls to zero 7,300 8,300 7,400 9,400Suppose we have two people in the market for good x: Adam, Barbara. Their demand functions are as follows: A = = max {0, 20 2p}, x³ = max{ — XB 0,30 - 2p). Find market demand and the price elasticity of demand at p = 40.The manager of a bicycle shop has found that, at a price (in Rands) of p(x) = 150 –x/4 per bicycle, x bicycles will be sold . Answer the following:• Find an expression for the total revenue from the sale of x bicycles. (Hint: Revenue = Demand *Price. )• Find the expression for the quantity to be sold q if the demand function demand is given byp = -10q + 3200• What is the number of bicycles x, sold if the price is R40
- Problem Number 8 Economics: Elasticity of Demand for DVD Rentals. The demand for DVD rentals at Klix Video is given by q= D(x) = 120 - 20x, where q is the number of DVDs rented per day at x dollars per rental. Find each of the following. a) The elasticity as a function of x b) The elasticity at x = 2 and at x = c) The value of x for which E(x) = 1. Interpret the meaning of this price. d) The total-revenue function, R(x) = (x) D(x) e) The price x at which total revenue is a maximum 4. Interpret the meaning of these values of the elasticity.ABC Manufacturing has determined that the demand function for their glow-in-the-dark headbands is given 2 by: D(p) = 160-p². a. Find E(p), the Elasticity of Demand as a function of price, p. E(p) b. Find the Elasticity of Demand when glow-in-the-dark headbands are selling at a price of $9. Give result accurate to at least 3 decimal places. E(9) = = c. At this price ($9): We would say the demand for glow-in-the-dark headbands is: Select an answer Based on this, in order to increase revenue we should: [Select an answer P = d. Use the Elasticity model to determine the price that maximizes revenue. (Round result to 2 decimal places.)The demand function of dog breeders for electric dog polishers is qb = max{200−p, 0}, and the demand function of pet owners for electric dog polishers is qo = max{90 − 4p, 0}. (a) At price 150, what is the price elasticity of dog breeders’ demand for electric dog polishers? (it's a negative number) (b) At price 15, what is the price elasticity of pet owner’ demand for electric dog polishers? (it's a negative number) (c) Find a nonzero price at which there is positive total demand for dog polishers and at which there is a kink in the demand curve. $_____. What is the market demand function for prices below the kink. What is the market demand function for prices above the kink? ______ + P