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- Prove that price elasticity of demand is not the same as the slope of a demand curve.Explain the logic that guides the construction of a linear demand function.Suppose that you are a staff economist with an economic consulting firm. The operator of a local harbour has commissioned your firm to do a market analysis of the demand for berths (parking spaces) for boats. Your firm finds that the price elasticity of demand for berths is –0.8. If the price of a berth in the area decreases by 6%, how will the quantity of berths that people demand change? The number of berths demanded will: Increase by 0.8% Decrease by 7.5% Increase by 6% Increase by 4.8%
- You start a business making decorative reusable water bottles. Suppose the demand for the bottles is modeled by the equation q = V15 – 2p where p is the price per bottle and q is the number of bottles sold per week. Suppose that your cost of materials for each bottle is 3 dollars. a) Calculate the price elasticity of demand when p = 3. Write a sentence explaining what this means in terms of the demand and the price. b) Find the range of prices for which demand is inelastic (assume p < 0) c) Find the price that would maximize your revenue. d) Find the price that would maximize your profit. (Include steps justifying that this is a maximum).Suppose you are given the following data on demand for a product. The price elasticity of demand (based on the midpoint formula) when price decreases from $8 to $6 is Price Quantity Demanded $ 10 30 9 40 8 50 7 60 6 70 Multiple Choice 0.86. 0.33. 1.14. 1.33.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.
- Viking Publishing House observed that in the recent years books on nature conservation and climate change have been very popular. As a matter of fact, Jane Goodall's latest book, "The Book of Hope: A Survival Guide for an Endangered Planet" has been a best-seller and Viking estimates the following demand curve for the book: P= 150 -Q In this equation, P is the price of the book and Q denotes yearly sales in thousands of books. In other words, 20,000 books would be expressed as Q = 20. Viking estimates that it incurs a cost of $40 for printing and shipping of each book and pays a $10 royalty to Jane Goodall for each book sold. Calculate the profit-maximizing OUTPUT and PRICE for this book. Also, calculate the TOTAL а. PROFITS. Show all calculations. No calculations, no points. b. Viking's CEO, Mr. Brian Tart, receives a yearly bonus from the company based on the size of the total revenue generated by Jane Goodall's book. Mr. Tart believes that his bonus is going to be satisfactory only…Denzil's Fried Chicken estimates its demand function for Chicken Dinners to be (see image) a. Given current price and income variables, how many chicken dinners are sold each month? b. What is the income elasticity of demand? Q = 5000 – 5P Find out i) Demand curve