BUS 640 Week 4 Market Structures and Pricing Decisions Applied Problems.docx

This archive file of BUS 640 Week 4 Market Structures and Pricing Decisions Applied Problems includes:
Problem 1
Problem 2
Please complete the following 2 applied problems in a Word or Excel document. Show all your calculations and explain your results. Submit your assignment in the drop box by using the Assignment Submission button.
A small business which produces plastic vacuum-suction covers for round household dishes has a monopoly that is protected by a utility patent. The market demand curve for this product is estimated to be: 25P where Q is the number of plate covers per year and P is in dollars. Cost estimation processes have determined that the firms cost function is represented by + 2500Q -0.25*Q2.
(i) What is the profit-maximizing price and output level? Solve this algebraically for equilibrium P and Q and also plot the MC D and MR curves and illustrate the equilibrium point.
(ii) What profit do you expect that the firm will make in the first year?
(iii) Do you expect this profit level to continue in subsequent years? Why or why not?
2. Greener Grass Company (GGC) competes with its main rival Better Lawns and Gardens (BLG) in the supply and installation of in-ground lawn watering systems in the wealthy western suburbs of a major east-coast city. Last year GGCs price for the typical lawn system was $1995 compared with BLGs price of $2100. GGC installed 9130 systems or about 55% of total sales and BLG installed the rest. (No doubt many additional systems were installed by do-it-yourself homeowners since the parts are readily available at hardware stores.)
GGC has substantial excess capacityit could easily install 25000 systems annually as it has all the necessary equipment and can easily hire and train installers. Accordingly GGC is considering expansion into the eastern suburbs where the homeowners are less wealthy. In past years both GGC and BLG have installed several hundred systems in the eastern suburbs but generally their sales efforts are met with the response that the systems are too expensive. GGC has hired you to recommend a pricing strategy for both the western and eastern suburb markets for this coming season. You have estimated two distinct demand functions as follows:
Qw =1035.548 – 6.07164Pgw + 2.83Pbw + 2100Ag – 1500Ab + 0.2348Yw
for the western market and
Qe = 49714.29 – 30.7692Pge + 6.984Pbe + 1180Ag – 950Ab + 0.0825Ye
for the eastern market where Q refers to the number of units sold; P refers to price level; A refers to advertising budgets of the firms (in millions); Y refers to average disposable income levels of the potential customers; the subscripts w and e refer to the western and eastern markets respectively; and the subscripts g and b refer to GGC and BLG respectively. GGC expects to spend $1.5 million on advertising this coming year and expects BLG to spend $1.2 million on advertising. The average household disposable income is $55000 in the western suburbs and $25000 in the eastern suburbs. GGC does not expect BLG to change its price from last year since it has already distributed its glossy brochures (with the $2100 price stated) in both suburbs and its TV commercial has already been produced. GGCs cost structure has been estimated as TVC 5 755.363Q 1 0.005Q2 where Q represents single lawn watering systems.
a. Derive the demand curves for GGCs product in each market.
b. Plot graphically the demand and MR curves for each market and also show GGCs combined marginal revenue curve (MR) and its MC curve. Show graphically the quantities that should be produced and sold and the prices that should be charged in each market.
c. Confirm your quantity and price results algebraically.
d. Calculate the price elasticities of demand in each market and discuss these in relation to the prices to be charged in each market.