(c) Find the optimal price and the maximum revenue.The optimal price:dollarsThe maximimum revenue:dollars(d) Sketch the graph of the parabola that is used in solving this problem. Label the vertex of theparabola. Indicate x-intercepts on paper, scan/take a picture or your work and upload it into spacebelow. The marketing department at XYZ Company has found that, when Product ABC is sold at a price of pdollars per unit, the number x of Product ABC sold is given by the demand equation260 — 13р.(a) Find the model that expresses the revenue R as a function of the price p. (Note that R = xp, theunit price times the number of units sold)R(p) =(b) Explain how would you find the price that will maximize the revenue (the optimal price), and themaximum revenue. Use the box below to type your answer.

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Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter4: Estimating Demand

Section: Chapter Questions

Problem 7E

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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. 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 10. Write the resulting regression equation.
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:
A charity is considering operating a lemonade venture for the summer. The assumption is that they can sell up to 9,000 units of lemonade at a price of $3.00. In addition, it is assumed that if lemonade is sold for $4.00 that sales would decline to 6,500 units. Consider a simple demand curve for the lemonade venture. To develop a demand curve from these estimates, it is assumed that the relationship between price and quantity is linear, meaning that the change in quantity will be proportional to the change in price. Graphically, you can infer this relationship by plotting the two price-quantity pairs on a graph and connecting them with a straight line. Using intermediate algebra, you can derive an equation for the linear demand curve P=6.6-(-0.0004Q) Please assist me to plot he graphs for the scenarios above. I don't know what to do. (Thanks so much for your help)
Imagine that you work for the maker of a leading brand of low-calorie, frozen microwavable food that estimates the following demand equation for its product using data from 26 supermarkets around the country for the month of April. Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets. QD = - 5200 - 42P + 20PX + 5.2I + 0.20A + 0.25M (2.002) (17.5) (6.2) (2.5) (0.09) (0.21) R2 = 0.55 n = 26 F = 4.88 Your supervisor has asked you to compute the elasticities for each independent variable. Assume the following values for the independent variables: Q = Quantity demanded of 3-pack units P (in cents) = Price of the product = 500 cents per 3-pack unit PX (in cents) = Price of leading competitor's product = 600 cents per 3-pack unit I (in dollars) = Per capita income of the standard metropolitan statistical area (SMSA) in…
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 = 500 - 5p, 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 the optimal number of units that should be produced and sold per month? b. What is the maximum profit per month? c. What are the breakeven sales quantities and the range of profitable demand volume?
The marketing department at XYZ Company has found that, when Product ABC is sold at a price of pp dollars per unit, the number xx of Product ABC sold is given by the demand equation x=300−15px=300-15p. (a) Find the model that expresses the revenue RR as a function of the price pp. (Note that R=xpR=xp, the unit price times the number of units sold)
A manufacturer of computer workstations gathered average monthly sales figures from its 56 branch offices and dealerships across the country and estimated the following demand for its product: Q = +15,000 - 2.80P + 150A + 0.3Ppc + 0.35Pm + 0.2Pc The variables and their assumed values are Q = Quantity P = Price of basic model = 7,000 A = Advertising expenditures (in thousands) = 52 Ppc = Average price of a personal computer = 4,000 Pm = Average price of a minicomputer = 15,000 Pc = Average price of a leading competitor’s workstation = 8,000 Compute the elasticities for each variable. On this basis, discuss the relative impact that each variable has on the demand. What implications do these results have for the firm’s marketing and pricing policies?
After an analysis of a large number of small businesses with two to nine employees, it was determined that, in a certain market sector, the operating costs C, in thousands of dollars, could be modeled by the function(pic#2)...., where p is the number of employees working for the firm. On the other hand, the realized revenue, R, of a firm could be determined as a function of the operating costs C, where R=(pic#1)... R and C are expressed in thousands of dollars. a) Based on the analysis, what would be the operating costs for a business with three employees? b) What would be the revenue for a company with three employees? c) Determine the equation that would model the realized revenue, R, as a function of the number of employees.
demand for a product is related to its selling price P (in dollars) by the equation n=2800-100p where n is the number of fans that can be sold per month at a price P. Find the selling price that will maximize the revenue.
The multivariate demand function below will be needed for questions 12-18. Setting: Grapple, Inc. is a leading seller of laptop personal computers. However, they want to become a leading tablet seller, too. Your marketing department, aided by your economics staff, has estimated a function to help you in the quest for market leader in tablets. The variables are defined after the function. Qg = the number of Grapple tablet computers demanded per week. Pg = the price of each new Grapple tablet (in $). Ph = the price of each Hewpaq tablet (in $). Pr = the price of each Ronova tablet. Pdv = the price to equip a tablet with Holographic digital video (in $, this is an upgrade option that enables three-dimensional graphics on a tablet. Two-dimensional graphics is standard equipment). Psc = the price of various screen sizes (in $, a 8 inch is standard, but upgrade options are 10 inch extra sharp, 12 inch, 12 inch extra sharp, Each also has a touch-screen option. The upgrades…
Agnes, a General Manager in XXX Company, estimated a multiplicative demand function of the form: using a cross-section data collected in the company sales on 30th June, 2019. The estimation results are as follows: (SEE IMAGE) Write down the estimated demand equation Interpret the coefficients and R2 value Describe any three managerial decisions that can be applied by the manager from the estimated demand function

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