5. Consider the following price-demand equation: Find the revenue function R(p) Sketch a graph of the revenue function on the interval 0 ≤p≤24 Find the intervals for which the demand is elastic and inelastic. Label these regions on your graph in part (b) x=f(p) 54(p-24) (0 sp≤24)
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- Using the following equation for the demand for a good or service, calculate the price elasticity of demand (using the point form), cross-price elasticity with good x and income elasticity. Q=82P+0.10I+Px Q is quantity demanded, P is the product price. P1 is the price of a related good, and I is income. Assume that P= $10, I = 100, and Px = 20.Suppose the demand function for product X is estimated by the equation: QDX= -2PX + 0,5PY - 0,2PZ + 1,2I. In there:QDX is the quantity demanded of product XPX is the price of product XPY is the price of product YPZ is the price of product ZI is the average income of consumersa/ Please make an argument to determine the relationship between two products X and Y, X and Z.b/ Please make an argument to determine whether product X is an ordinary good or a low-end goodAssume that the following table represents the demand schedule for the product of your company: Price 0 10 20 30 40 50 60 70 80Quantity 160 140 120 100 80 60 40 20 0per day TotalRevenue (TR) Use your knowledge about the relationship between elasticity, prices and revenue how you would maximise the total revenue of a company that produces an inelastic good. Substantiate your answer with appropriate diagrams.
- Compute a slope and elasticity of the demand curve, which goes through coordinate points (6,0) and (0,10). Illustrate your results by a graph of this function. Provide a written interpretation of your results.According to economic theory, the demand x for a quantity in a free market decreases as the price p increases (see the figure). Suppose that the number x of DVD players people are willing dx (A) Find 9,000 to buy per week from a retail chain at a price of $p is given by x = 10 sp<70. 0.3p + 1' dx Answer parts (A), (B), and (C). dp 4500- (B) Find the demand and the instantaneous rate of change of demand with respect to price when the price is $30. Write a brief interpretation of these results. The demand is x = when the price is $30. 2250- 9,000 The instantaneous rate of change of demand with respect to price is when the price is X = 0.3p + 1 $30. Write a brief interpretation of these results. p. 0- 40 80 At a price level of $30, the demand is DVD players per week and demand is Price (dollars) V at the rate of (C) Use the results from part (B) to estimate the demand if the price is increased to $31. Demand .....Compute for price elasticity of demand when the price increased from 120 to 250 and the quantity demanded decreased from 750 to 500 units. Show in a graph where P is on the Y axis and QD on the X axis. Use the formula below and interpret the result.
- Assume the demand function of gasoline is QD = 500 – 50P, in which QD is at a unit of thousand gallons and P denotes the price per gallon. What is the (point) price elasticity of demand ED when the price is $2.50/gal? Please show your work and define the demand is either elastic or inelastic at the price. No graph is required.Suppose that your demand schedule for pizza is as follows: Price (Dollars) 8 10 12 14 16 Quantity of Pizzas Demanded (Income = $20,000) 40 32 24 16 8 Quantity of Pizzas Demanded (Income = $24,000) 50 45 30 20 12 Using the midpoint method, your price elasticity of demand as the price of pizzas increases from $8 to $10 is if your income is $24,000. If the price of a pizza is $12, your income elasticity of demand is pizza is $16, your income elasticity is if your income is $20,000 and as your income increases from $20,000 to $24,000. However, if the price of a Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Suppose the following table describes Anns’s weekly chocolate candies purchases, which vary depending on the price of a bags of candies: Price of chocolate candies ($) Bags of chocolate candies Chewing gum Apple pie cake Milk pack 2 4 3 2 3 2,5 2 3 4 2 Compute the cross price elasticity of chewing gum with respect to the price of a bag of chocolate candies. Compute the cross price elasticity of apple pie cake with respect to the price of a bag of chocolate candies. Compute the cross price elasticity of milk pack with respect to the price of a bag of chocolate candies. Are chocolate candies and chewing gum substitutes or complements? How do you know? Are of chocolate candies and apple pie substitutes or complements? How do you know? Are of chocolate candies and milk substitutes or complements? How do you know?
- A TV channel has estimated the demand for its service to be givenby the following function: Q=9.83p-1.2A2.5Y1.6P0-1.4whereQ = monthly sales in unitsP = price of the service in $A = promotional expenditure in $’000Y = average income of the market in $’000P0 = price of ‘home movies’ in $ The current price of the TV channel is $60, promotional expenditure is$120,000, average income is $28,000, and the price of ‘homemovies’ is$45.Indicate whether the following statements are true or false, givingyour reasons and making the necessary corrections h. Current sales are over a million units a month. i. The demand curve for the channel is given by:Q=9.83p-1.2j. The channel’s sales are more affected by the price of ‘home movies’ than by the price of its own service.k. If the channel increases its price this will reduce its profit.The inverse demand function for a product is defined as: Px = -0.5 Qx + 4. what is the slope and the midpoint elasticity of demand respectively? Hint: to calculate draw a table or draw the demand curve. O-0.5, -0.6 O-0.5, -0.5 O-0.5, +0.6 O-0.5, +0.51. It is known that the number of lunches demanded is 80 units when the price is GH¢S5.00 and 45 units when the price is GH¢12.00 Determine the equation of the demand function in the form Q=f(P) Use the equation of the demand function to calculate the change in demand when the price; increases by GH¢3.00; decreases by GH¢2.00 Estimate the decrease in price for each lunch when the number of lunches demanded (quantity demanded) increases by GH¢15