10.61 The per-store daily customer count (i.e., the mean number of customers in a store in one day) for a nationwide convenience store chain that operates nearly 10,000 stores has been steady, at 900, for some time. To increase the customer count, the chain is considering cutting prices for coffee beverages. The question to be determined is how much to cut prices to increase the daily customer count without reducing the gross margin on coffee sales too much. You decide to carry out an experiment in a sample of 24 stores where customer counts have been running almost exactly at the national average of 900. In 6 of the stores, the
selling the coffee at the new price, the daily customer count in the stores was recorded and stored in .
- At the 0.05 level of significance, is there evidence of a difference in the daily customer count based on the price of a small coffee?
to generate a solution
a solution
- The formula for the arc price elasticity can be written (where AQ denotes the change in Q) as: h=[AP/(P₁ + P₂)]/[AQ/(Q₁ + Q₂)]. h=[AQ/(P₁+P₂)]/[AP/(Q₁ + Q₂)]. h=[AQ/(Q₁ + Q₂)]/[AP/(Q₁ + Q2)]. h=[AQ/(Q₁ + Q₂)]/[AP/(P₁ + P₂)].arrow_forwardAfter a careful statistical analysis, the Chidester Company concludes the demand function for its product is Q = 500 - 3P + 2Pr + 0.1I where Q is the quantity demanded of its product, P is the price of its product, Pr is the price of its rival’s product, and I is per capita disposable income (in dollars). At present, P = $10, Pr = $20, and I = $6,000. What is the current output level Q? a. 1030 b. 1100 c. 610 d. 1110arrow_forwardHanna Corporation markets a compact microwave oven. In 2010 they sold 23,000 units at $375 each. Per capita disposable income in 2010 was $6,750. Hanna economists have determined that the arc price elasticity for this microwave oven is −1.2. Which the following statement is wrong? 1. A price decrease in 2011 will help company revenue growth 2. If all other things remain equal, sales volume for 2011 are 27,312 if price is reduced to 325. 3. Assume that arc income elasticity for microwave ovens is 2.5 and price and income effects are independent and additive. Given that the price is reduced to $325, and that per capita disposable income increases to $7,000, sales volume for 2011 will be 29,032. 4. A price increase in 2011 will help company revenue growth.arrow_forward
- SUMMARY OUTPUT Excel Exercises Regression Statistics Multiple R R-Square Adjusted R-Square Standard Error Observations Analysis of Variance Regression Residual Total Intercept Price of X Income 7. An econometrics expert from your firm used a linear demand specification to estimate the demand for its product and sent you a hard copy of the results. (LO6) a. Based on these estimates, write an equation that summarizes the demand for the 0.38 0.14 0.13 20.77 150 How much Will y increase the price of good X by 2 percell Coefficients 58.87 -1.64 1.11 firm's product. b. Which regression coefficients are statistically significant at the 5 percent level? c. When price is $10, what is the income elasticity for this product for an income level of 35? Degrees of Freedom 2 147 149 Sum of Squares 10,398.87 63,408.62 73,807.49 Standard Error 15.33 0.85 0.24 8. Suppose the true in Mean Square 5199.43 431.35 t-Statistic 3.84 -1.93 4.64 F 12.05 P-Value 0.00 0.06 0.00 Significance F 0.00 Lower 95% 28.59…arrow_forwardAfter a careful statistical analysis, the Chidester Company concludes the demand function for its product is Q = 500 - 3P + 2Pr + 0.1I where Q is the quantity demanded of its product, P is the price of its product, Pr is the price of its rival’s product, and I is per capita disposable income (in dollars). At present, P = $10, Pr = $20, and I = $6,000. What is the implicit assumption regarding the population in the market?arrow_forwardIn one month, a Pizza Hut restaurant sold 5500 personal pizza at RO 4.50 per pizza. When this restaurant increased its price by 30%, its total revenue for the next month increased to RO 18,720. As a result of this price increase, however, the monthly sales of POP decreased from 3500 to 3000 cans. Using the arc elasticity method: (i) Find the own price elasticity of demand for this restaurant’s pizza. (ii) Find the cross elasticity of demand for pop with respect to the price of the pizzas. Are the two substitutes or compliments?arrow_forward
- Short Grass Incorporated is a distributor of golf balls. Martin's Golf Supplies is a local retail outlet which sells golf balls. Martin's purchases the golf balls from Short Grass Incorporated at $1.15 per ball; the golf balls are shipped in cartons of 72. Short Grass Incorporated pays all incoming freight, and Martin's Golf Supplies does not inspect the balls due to Short Grass' reputation for high quality. Annual demand is 159,520 golf balls at a rate of 3,691 balls per week. Martin's Golf Supplies earns 10% on its cash investments. The purchaseminus−order lead time is one week. The following cost data are available: Relevant ordering costs per purchase order $132.00 Carrying costs per carton per year: Relevant insurance, materials handling, $0.87 breakage, etc., per year What is the economic order quantity? (Round costs to the nearest cent and quantities to the nearest whole number.)arrow_forwardYou own Earthworm Excavators. Your company is the sole manufacturer of super-sized excavators that are used in the world’s largest mining operations. The U.S. has recently lifted export restrictions on the product you sell, so you can now sell your equipment in the world market along with sales in the domestic market. You hire an economist to estimate the following (inverse) demand curves per year for these distinct markets: Domestic market : Pd = $1200 - $10QdForeign market : Pf = $600 - $5Qf where P refers to prices charged in each market in thousands of dollars and Q refers to the annual quantities demanded in each market. The total costs (in thousands of dollars) of your annual operation are given by: TC = 900 + 200Q a. If you decide to offer you machines at a single price to all potential buyers, at what price will the foreign buyers be priced out of the market?b. What is the market demand function if you decide to offer the machines to all potential buyers at a single…arrow_forwardAn estimate of the demand function for household furniture produced the following results: F = 0.0036 Y1.35 R0.19 P(-0.48) where F = furniture expenditures per household Y = disposable personal income per household R = value of private residential construction per household P = ratio of the furniture price index to the consumer price index The point price elasticity for household furniture is -0.48 T² = 0.996 and the income elasticity is ▼ According to the estimated model, a 10 percent increase in the value of private residential construction per household demanded by percent. the quantityarrow_forward
- Q3. Refer to the diagram. Using the midpoint formula, calculate the price elasticity of demand between the prices of $15 and $12. Accordingly, state whether demand is elastic or inelastic between these two points. P$/unit 15 12 D 18 22 Q (units/week) Ep = Damand ie ... Q4. For each case below, answer the bolded questio Classification of the Case Calculations product(s) if requested to do so 1. Suppose that a 2% increase in income in the economy decreases the quantity of gadgets demanded by 1% ar every E,= Gadgets are possible price. Find the income elasticity of demand and dassify the product accordingly (state whether gadgets is a normal, necessity, luxury or an inferior product). 2. A firm finds that its price elasticity of demand is 4.0. Currently, the firm is selling 2000 units per month at $5 per unit. Price must be lowered by= If it wishes to increases its quantity sold by 10%, by how much it must lower its price? 1 Suppose legalization-and subseque nt regulation-of products Xand…arrow_forwardThe company is considering lowering the price of Model A to $27 in an effort to increase the number of units sold. Based on the results of price changes that have been instituted in the past, Tennis Products’ chief economist estimates the arc price elasticity of demand to be –2.5. Furthermore, she estimates the arc cross elasticity of demand between Model A and Model B to be approximately 0.5 and between Model A and Model C to be approximately 0.2. Variable costs per unit are not expected to change over the anticipated changes in volume. a. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin of Model A. Based on this analysis, should the firm lower the price of Model A? Explain b. Evaluate the impact of the price cut on the (i) total revenue and (ii) contribution margin for the entire line of tennis rackets. c. Based on this analysis, should the firm lower the price of Model A? Explainarrow_forwardManning Inc. is the leading manufacturer of garage doors. Demand for residential garage doors depends, of course, on the rate at which new houses are being built, which in turn depends on changes in income per capita. During the past year, Manning sold 10 000 garage doors at an average price of R1 500 per door. In the coming year, disposable income per capita is expected to increase from R32 000 to R34 000. Without any price change, Manning expects current-year sales to rise to 12 000 units. 1. Calculate the arc income elasticity of demand. 2. The company economist estimates that in conjunction with the change in income, if the price of doors is increased by R100, they could sell 11 500 doors. What is the arc price elasticity and what would be the company’s revenue? 3. Should they raise the price even more?arrow_forward
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