Sunglasses manufacturer Oakley, Inc. produces high-end and low-end versions of their performance sunglasses. They estimate that the demands for their products are given by: High-end sunglasses: P= 130 - 20H , and Low-end sunglasses: P = 80 - QL, where Q is measured in 1000 sunglasses, "H" denotes High-end and "L" denotes Low-end Both types of sunglasses are produced on the same production line in the same facility, so the marginal cost of producing and selling both types of sunglasses is constant at $30. Supposing that () the two demands are independent and (i) Oakley can produce and market the sunglasses charge for each version? that the high- and low-end markets are successfully segmented, what are the profit-maximizing prices Oakley would OPH= $80 and PL- $55. O By the "midpoint rule", PH= $65 and PL- $40. OPH= $130 and PL- $80. O Oakley will set price equal to marginal cost for both versions, i.e., P = $30.
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- The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: 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. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54…The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: 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. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54…The ATV Company produces a specialty cement used in the construction of roads. ATV is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: 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. The manager of ATV obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54…
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- A company produces and sells a consumer product and thus far has been able to control the volume of the product by varying the selling price. The company is seeking to maximize its net profit. It has been concluded that the relationship between price and demand, per month, is approximately D = 800 - 8p, where p is the price per unit in dollars. The fixed cost is $1,000 per month, and the variable cost is $20 per unit. Obtain the answer mathematically to the following questions: a. What is demand that will maximize revenue per month and the maximum revenue b. What is the optimal number of units that should be produced and sold per month? c. What is the maximum profit per month? d. What are the breakeven sales quantities and the range of profitable demand (volume)?Using regression analysis on data from a field experiment, the demand curve for a product is estimated to be QXd = 1,200 − 3PX − 0.1PZ where Pz = $300. What is the own price elasticity of demand when Px = $240? Is demand elastic or inelastic at this price? What would happen to the firm’s revenue if it decided to charge a price above $240? Enter your response rounded to one decimal place. Own price elasticity: Demand is: . If the firm prices above $240, revenue will:Recently, Verizon Wireless ran a pricing trial in order to estimate the elasticity of demand for its services. The manager selected three states that were representative of its entire service area and increased prices by 5 percent to customers in those areas. One week later, the number of customers enrolled in Verizon’s cellular plans declined 4 percent in those states, while enrollments in states where prices were not increased remained flat. The manager used this information to estimate the own price elasticity of demand and, based on her findings, immediately increased prices in all market areas by 5 percent in an attempt to boost the company’s 2012 annual revenues. One year later, the manager was perplexed because Verizon’s 2012 annual revenues were 10 percent lower than those in 2011—the price increase apparently led to a reduction in the company’s revenues. Did the manager make an error? Explain