8. Two software companies sell competing products. These products are substitutes so that the number of units that either company sells is a decreasing function of its own price and an increasing function of the other product's price. Let P1 and X1 be the price and quantity sold of product 1, and P2 and X2 the price and quantity sold of product 2. We have that X1 = 1,000 90-P1+P2) and X2 = 1,000 90P2+P1). Each company has 2 incurred a fixed cost for designing their software and writing programmes, but the cost of selling to an extra user is zero. As the firms compete in prices, each company will choose a prico +hat mavimisos its profite

8. Two software companies sell competing products. These products are substitutes so that the number of units that either company sells is a decreasing function of its own price and an increasing function of the other product's price. Let P1 and X1 be the price and quantity sold of product 1, and P2 and X2 the price and quantity sold of product 2. We have that X1 = 1,000 90-P1+P2) and X2 = 1,000 90P2+P1). Each company has 2 incurred a fixed cost for designing their software and writing programmes, but the cost of selling to an extra user is zero. As the firms compete in prices, each company will choose a prico +hat mavimisos its profite

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question #2 Consider the following demand function for frozen dinners where QD is the quantity of frozen dinners demanded per week, P is the price per frozen dinner, PF is the price per fast food meal, Y is the average yearly consumer income, and A is the number of advertisements for frozen dinners. Demand Function for Frozen Dinners: QD = 1,000 – 10P + 20PF – 0.01Y + A Suppose that a frozen dinner sells for $4, a fast food meal sells for $6, average yearly consumer income is $50,000, and that there are 20 advertisements for frozen dinners. Calculate and interpret the income elasticity of demand. Calculate and interpret the cross-price elasticity of demand with respect to fast food meals.
An analyst for FoodMax estimates that the demand for its “Brand X" potato chips is given by: InQx = 10.34 – 3.2 In Px+ 4Py+ 1.5 In Ax where Qx and Px are the respective quantity and price of a four-ounce bag of Brand X potato chips, Pyis the price of a six-ounce bag sold by its only competitor, and Ax is FoodMax's level of advertising on brand X potato chips. Last year, FoodMax sold 5 million bags of Brand X chips and spent $0.25 million on advertising. Its plant lease is $2.5 million (this annual contract includes utilities) and its depreciation charge for capital equipment was $2.5 million; payments to employees (all of whom earn annual salaries) were $0.5 million. The only other costs associated with manufacturing and distributing Brand X chips are the costs of raw potatoes, peanut oil, and bags; last year FoodMax spent $2.5 million on these items, which were purchased in competitive input markets. Based on this information, what is the profit-maximizing price for a bag of Brand X…
8. Substitutes, complements, or unrelated? You work for a marketing firm that has just landed a contract with Run-of-the-Mills to help them promote three of their products: penguin pops, flopsicles, and kipples. All of these products have been on the market for some time, but, to entice better sales, Run-of-the-Mills wants to try a new advertisement that will market two of the products that consumers will likely consume together. As a former economics student, you know that complements are typically consumed together while substitutes can take the place of other goods. Run-of-the-Mills provides your marketing firm with the following data: When the price of penguin pops decreases by 10%, the quantity of flopsicles sold decreases by 9% and the quantity of kipples sold increases by 9%. Your job is to use the cross-price elasticity between penguin pops and the other goods to determine which goods your marketing firm should advertise together. Complete the first column of the following…
2) Imagine that you have started a firm and own the patent for a new technology that allows for the 3D printing of food. This is a huge nutritional breakthrough since the printer can provide nutritional food for years. Since you are the first with this technology and have patented it, your firm is the only firm that can produce and sell this type of printer. There are no close substitutes for your printer and your data indicates weekly demand is given by the equation Qa = 9000 - 2P. a) Your production analysis indicates that your firm's cost function is C(Q) = F +Q². Illustrate the market, 2 showing the inverse demand curve, the MR curve and the MC curve. Then, compute and illustrate your firm's profit maximizing price and quantity of the printer. How low must the fixed cost be to ensure that the firm is making positive profits? Make sure to clearly label all relevant curves. Finally, what is the markup on the printer (measure markup in the following way: Price/MC)? b) Redraw the…
When sold for $790.00, a certain desktop has an annual supply of 129.5 million computers and an annual demand of 155.5 million computers. When the price increases to $865.00, the annual supply increases to 147.5 million computers, and the demand drops to 134.5 million computers. NOTE: Round slope and vertical intercept to 4 decimal places and use those rounded values to the end. (a) Assuming that the supply and demand equations are linear, find the supply and demand equations. Supply Equation p = Demand Equation p = esc (Note: The equations should be in the form p = mq + b where p denotes the price (in dollars) and q denotes the quantity (in billions). The slope and y-intercept should be accurate to 4 decimal places). (b) Find the Equilibrium price and quantity. Equilibrium price p = Equilibrium quantity q = 9- F2 A (Note: The equilibrium price should be accurate to 2 decimal places and quantity should be rounded to the nearest whole number, and the equilibrium price should include a…
When you compare the absolute value of the price elasticity of demand for most products [Hint, oil is one product that works this way.] in the long run (20 years) vs absolute value of the elasticity of demand for the products in the short run (6 months), the absolute value of the long run price elasticity of demand is... [Note: we consider demand elasticity positive, even though they're technically negative. In other words, for purposes of this question, "greater" means farther away from zero] a) less than that of the short run. In the long run, this elasticity will always be very close to zero b) not zero, but less than that of the short run c) equal to that of the short run d) greater than that of the short run
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1. The demand function for a certain brand of CD is given by p = -0.01x² - 0.2x + 10 where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. The supply function is given by p = 0.01x² + 0.2x + 4 where p is the unit price in dollars and x stands for the quantity that will be made available in the market by the supplier, measured in units of a thousand. Determine the producers' surplus if the market price is set at the equilibrium price. (Round your answer to the nearest dollar.)
8. Substitutes, complements, or unrelated? You work for a marketing firm that has just landed a contract with Run-of-the-Mills to help them promote three of their products: penguin patties, frizzles, and kipples. All of these products have been on the market for some time, but, to entice better sales, Run-of-the-Mills wants to try a new advertisement that will market two of the products that consumers will likely consume together. As a former economics student, you know that complements are typically consumed together while substitutes can take the place of other goods. Run-of-the-Mills provides your marketing firm with the following data: When the price of penguin patties decreases by 5%, the quantity of frizzles sold increases by 4% and the quantity of kipples sold decreases by 6%. Your job is to use the cross-price elasticity between penguin patties and the other goods to determine which goods your marketing firm should advertise together. Complete the first column of the…
At a particular street corner are two competing sandwich shops: Tony’s and Diana’s. Both have been doing well selling delicious veggie sandwiches, so much so that they both increase their prices in response to rising demand. Use the data shown in the table below to calculate both Tony’s and Diana’s supply elasticity for veggie sandwiches. Which sandwich shop seems better situated to meet the rising demand for veggie sandwiches? QS1 Price1 QS2 Price2 Tony's 100 $5.00 125 $6.00 Diana's 65 $6.95 75 $8.50 Please answer both questions, as I am unsure of how to go about them
Johnson's Household Products has a division that produces two types of toothpaste: a regular toothpaste and a whitening tooth paste. The demand equations that relate the prices, p and q (in dollars per thousand units), to the quantities demanded weekly, x and y (in units of a thousand), of the regular toothpaste and the whitening toothpaste are given by p=3000-20 x-10 yp=3000−20x−10y and q=4000-10 x-30 yq=4000−10x−30y respectively. The fixed cost attributed to the division is $20,000/week, and the cost for producing 1000 tubes of regular and 1000 tubes of whitening toothpaste is$400 and $500, respectively. a. What is the weekly total revenue function R(x, y)? b. What is the weekly total cost function C(x, y)? c. What is the weekly profit function P(x, y)? d. How many tubes of regular and whitening toothpaste should be produced weekly to maximize the division's profit? What is the maximum weekly profit?