A sporting goods store has estimated the demand for a popular brand of running shoes as given in the table below. Price per unit (OMR) Shoe sales per week 60 100 50 200 40 300 30 400 20 500 10 600
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A sporting goods store has estimated the
|
|
Shoe sales per week |
|
60 |
100 |
|
50 |
200 |
|
40 |
300 |
|
30 |
400 |
|
20 |
500 |
|
10 |
600 |
Graphically present the table to get a demand curve. If the store charges a price of 50 OMR, then increases this price to 60 OMR, estimate
Analyze the total revenue before and after the price change.
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- The Stopdecay Company sells an electric toothbrush for $25. Its sales have averaged 8,000 units per month over the past year. Recently, its closest competitor, Decayfigh ter, reduced the price of its electric toothbrush from $35 to $30. As a result, Stopde cays sales declined by 1,500 units per month. What is the arc cross elasticity of demand between Stopdecays toothbrush and Decayfighters toothbrush? What does this indicate about the relationship between the two products? If Stopdecay knows that the arc price elasticity of demand for its toothbrush is 1.5, what price would Stopdecay have to charge to sell the same number of units as it did before the Decayfighter price cut? Assume that Decayfighter holds the price of its toothbrush constant at $30. What is Stopdecays average monthly total revenue from the sale of electric toothbrushes before and after the price change determined in part (b)? Is the result in part (c) necessarily desirable? What other factors would have to be taken into consideration?Define the price elasticity of demand. Explain the relationship between total revenue and the price elasticity of demand.Worldwide annual sales of smartphones over two year period were approximately q=-5p+3040 million phones at a selling price of $p per phone. (a) Obtain a formula for the price elasticity of demand E. E=_______ (b) in one of the years the actual selling price was $375 per phone. What was the corresponding price elasticity of demand? E=_______ The demand was going down by about _____% per 1% increase in price at that price level. (c) Use your formula for E to determine the selling price that would’ve resulted in the largest annual revenue. $_______ What would’ve been the resulting annual revenue? (Round your answer to two decimal places) $_____billion
- Worldwide annual sales of smartphones over a two year period were approximately q=-4p+3020 million phones at a selling price of $p per phone. (a) obtain a formula for the price elasticity of demand E E=_____ (b) in one of the years the actual selling price was $305 per phone. What was the corresponding price elasticity of demand? E=_____ (c) The demand was going down by about _____% per 1% increase in the price at that price level. (d) use your formula for E to determine the selling price that would have resulted in the largest annual revenue. $____ What would’ve been the resulting annual revenue? $____ billionThe demand schedule of the product is given below Price $ (P) Quantity (Q) 100 1 90 2 80 3 70 4 60 5 50 6 40 7 30 8 20 9 10 10 Calculate the arc price elasticity as the price decrease from 40 to 30$ and interpret the result. What are the determinants of price elasticity of demand?The demand function for a product is modeled by p = 400 − 2x, 0 ≤ x ≤ 200, where p is the price per unit (in dollars) and x is the number of units. Determine when the demand is elastic and inelastic. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Determine when the demand is of unit elasticity.
- You own the only pharmacy in the small town of Jackson City, which has 40,000 residents. You would like to get a sense of what the local demand is for seasonal allergy medicine so you can determine how many packages to keep in stock and what price to charge. You conduct a survey of four residents of Jackson City, asking them about the quantity of allergy medicine they would buy each allergy season at various prices. Their responses are shown in the accompanying table. Estimate and graph the demand for the entire town of Jackson City. Price Lee June Carlotta Eric $8 8 5 6 9 $10 6 4 5 5 $12 4 3 4 3 $14 2 2 2 1 $18 0 1 1 0 I submitted this question earlier and I understand how to add up the market demand for each individual but I don't understand how to estimate the entire market demand for Jackson city which has 40,000 residents including the individuals listed in the chart. If you could please answer this specifically I would appreciate it.You own the only pharmacy in the small town of Jackson City, which has 40,000 residents. You would like to get a sense of what the local demand is for seasonal allergy medicine so you can determine how many packages to keep in stock and what price to charge. You conduct a survey of four residents of Jackson City, asking them about the quantity of allergy medicine they would buy each allergy season at various prices. Their responses are shown in the accompanying table. Estimate and graph the demand for the entire town of Jackson City. Price Lee June Carlotta Eric $8 8 5 6 9 $10 6 4 5 5 $12 4 3 4 3 $14 2 2 2 1 $18 0 1 1 0For this question and the next few following, you should use the dataset below. Over the range from $4 to $6, Qd goes from 48 to 44. Using this range of prices and quantities, you should calculate the coefficient of price elasticity of demand. In the box labeled A1, the coefficient of price elasticity of demand is: 4 .22 2 .33
- DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 9. Calculate the price elasticity, cross-price elasticity, and income elasticity of demand for cement. Explain these figures. Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard.Worldwide annual sales of smartphones over a two year period were approximately q=-5p+3030 million phones at a selling price of $p per phone. (a) Obtain a formula for the price elasticity of demand E. (b) in one of the years the actual selling price was $365 per phone. What was the corresponding price elasticity of demand? The demand was going down by about _____% per 1% increase in price at the price level. (c)Use your formula for E to determine the selling price that would’ve resulted in the largest annual revenue. $______ What would’ve been the resulting annual revenue? (Round your answer to two decimal places.) $______billionThe equation of an estimated demand function is as follows: - QdA (Quantity demand for A) = 200.5 - 2.5 Pa - 1.5Pb + 3.5 I where, Pa = Price of A Pb = Price of B [It is a related product] I = Income (i) Determine the demand when Pa = $ 500, Pb = $ 100 and I = $ 3000 (ii) Estimate the price elasticity, cross-price elasticity and income elasticity of the demand according to point method. (iii) Estimate the elasticity of the demand according to proportion method if Pa2 = $ 515, Pb2 = $ 105 and I = $ 3500.
