You are a new entrant in a market with just one Incumbent, who sells a roughly equivalent product. You Initially take on the follower role when it comes to choosing the amount of your product to manufacture. In researching your market, you've collected substantial data on prices and quantities, and asked your firm's analysts to determine as closely as possible the Inverse demand curve for the market. They've reported back to you the following table.
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- Yummy Yummy Popcorn, Inc. sells bags of flavored popcorn in a popular mall. As shop owner and operator, you have observed that weekly popcorn sales are well-described by the demand equation: Q = 1,200 - 800P + 2.0A, where A denotes advertising weekly spending (in dollars). You are currently charging $1.50 per bag of popcorn (for which the marginal cost is $.75) and spending $500 per week on advertising. a) Compute the store’s price elasticity and advertising elasticity. Please do fast ASAP fast pleaseSuppose your firm owns a retirement development that is composed of a gated housing community and a championship level private golf course designed to appeal to retirees that are avid golfers. The development is somewhat isolated and there are no other golf courses within easy driving distance. Obviously, one of the main revenue sources for your company is golf course operations. Suppose the annual individual demand for avid golfers is represented by the following inverse demand function (Q is in annual rounds played): P=100-1.250 Most of the cost to maintain the golf course is fixed in the sense that it is not related to the number of rounds played. Your firm has estimated that the variable cost per round is the result of the cost of leasing and maintaining golf carts and is $20 per round. That is, the variable cost function is: VC (Q) = 200 a. If your firm decides to charge a single price per round of golf, what price should it charge and how many rounds of golf can you expect an…Joe has just moved to a small town with only one golf course, the Northlands Golf Club. His inverse demand function is p = 140-2q, where q is the number of rounds of golf that he plays per year. The manager of the Northlands Club negotiates separately with each person who joins the club and can therefore charge individual prices. This manager has a good idea of what Joe's demand curve is and offers Joe a special deal, where Joe pays an annual membership fee and can play as many rounds as he wants at $40, which is the marginal cost his round imposes on the Club. Joe marries Susan, who is also an enthusiastic golfer. Susan wants to join the Northlands Club. The manager believes that Susan's inverse demand curve is p = 120-2q. The manager has a policy of offering each member of a married couple the same two-part prices, so he offers them both a new deal. What two-part pricing deal maximizes the club's profit? Will this new pricing have a higher or lower access fee than in Joe's original…
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- As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 400,000 −400Q and P = 900,000 −250Q, respectively. Your cost function is C(Q) = 125,000 + 430,000Q. How many new homes should you build, and what profits can you expect? Number of homes you should build: homes Profits you can expect: $Joe has just moved to a small town with only one golf course, the Northlands Golf Club. His inverse demand function is p=140-2q, where q is the number of rounds of golf that he plays per year. The manager of the Northlands Club negotiates separately with each person who joins the club and can therefore charge individual prices. This manager has a good idea of what Joe's demand curve is and offers Joe a special deal, where Joe pays an annual membership fee and can play as many rounds as he wants at $20, which is the marginal cost his round imposes on the Club. Joe marries Susan, who is also an enthusiastic golfer. Susan wants to join the Northlands Club. The manager believes that Susan's inverse demand curve is p=120-2q. The manager has a policy of offering each member of a married couple the same two-part prices, so he offers them both a new deal. What two-part pricing deal maximizes the club's profit? Will this new pricing have a higher or lower access fee than in Joe's original deal?…Suppose you’re relatively new in business and want to launch your product in the market.You have a great deal of flexibility in how you set your prices, you may want to considerpricing for optimum market penetration. This means that you initially sell your product ata low introductory price P0 (say) to attract new customers, then raise prices once you’vesecured your share in the market. Determining the most appropriate pricing model for yourbusiness is tricky and takes considerable research.If it is known that change in price P depends upon the demand D and Supply S of yourproduct, where both D and S are linearly related to price P.(a) Write the differential equation the describes the change in price.(b) Describe the pattern of change of price for different phases.(c) For what values of parameter, you have equilibrium price (Hint: Recall equilibriumsolution of differential equations)
- Question: As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 300,000 − 400Q and P = 500,000 − 275Q, respectively. Your cost function is C(Q) = 140,000 + 240,000Q. How many new homes should you build, and what profits can you expect?A firm sells its product to two groups of buyers: daytime buyers and nighttime buyers. There are 50 daytime buyers, all of whom have identical demands given by DD in the figure. There are 50 nighttime buyers, all of whom have identical demands given by DN in the figure. The firm's variable costs are constant (SMC = AVC = $12) and its total fixed cost is $250,000. The marketing director must devise a two-part pricing plan that will maximize the firm's profit. Price and cost ($ per unit) 100 12 0 Do: PD 100 -0.5Q, Multiple Choice Quantity Panel A - One Daytime buyer's demand A* = $1,472 A* = $2,178 A* = $3,872 SMC = AVC A* = $4,356 200 A* = $7,744 100 Assuming both daytime and nighttime markets are served, the optimal fixed access charge (4*) is 0 DN: PN 100 - QN SMC=AVC 100 Quantity Panel B - One Nighttime buyer's demandAs a manager of a chain of movie theaters that are monopolies in their respective markets, you have noticed much higher demand on weekends than during the week. You therefore conducted a study that has revealed two different demand curves at your movie theaters. On weekends, the inverse demand function is P= 200.001Q; on weekdays, it is P= 15 -0.002Q. You acquire legal rights from movie producers to show their films at a cost of $25,000 per movie, plus a $2.50 "royalty" for each moviegoer entering your theaters (the average moviegoer in your market watches a movie only once). What type of pricing strategy should you consider in this case? First degree price discrimination O Block pricing O Second degree price discrimination O Third degree price discrimination What price should you charge on weekends? Instructions: Enter your response rounded to two decimal places. What price should you charge on weekdays? Instructions: Enter your response rounded to two decimal places.