For an output level below Qr, the value of a unit to a buyer is the cost of a unit to a seller. Suppose a firm that produces for this market is able to influence the market price, which leads to an outcome that differs from the free market which is an example of equilibrium shown in the previous graph. Such a situation is characterized by
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- The garment producer faces the inverse demand function PG = 300 - 2G, where PG is the price of garment and G is the quantity of garment. For simplicity, assume that the garment producer has no other cost of production, other than the price per unit of electricity it pays to the electricity producer. 2 Suppose that the electricity producer and the garment producer interact as fol- lows. First, the electricity producer sets a price PE that the garment producer must pay for each unit of electricity. Then the garment producer decides how much elec- tricity to purchase from the electricity manufacturer and how much garment G to produce and sell. (i) Suppose that the marginal cost of a unit of electricity is $10 per unit and every unit of garment requires two units of electricity. Find the profit maximizing prices and quantities of electricity and garment, PE, PG, E and G. What is the profit of each firm? What is the total profit? (ii) Now suppose that the two firms merge together, i.e., the…A two-good economy is in a competitive equilibrium. The price of a piece of candy is $2 andthe price of a desk is $12. The marginal cost of candy is given by MCc = 2Qc and the marginalcost of a desk is MCd = 4 + 4Qd. The current production level of candy is one piece. What is theoutput of desks? A) Qd = 1B) Qd = 2C) Qd = 4D) Qd = 5Carl and Simon are two pumpkin growers who are the only sellers of pumpkins at the market. The demand function for pumpkins is Q = 16,400 - 400P, where Q is the total number of pumpkins that reach the market and P is the price of pumpkins. Suppose further that each farmer has a constant marginal cost of $1 for each pumpkin produced. Assume that Carl can tell, by looking at Simon's fields, how many pumpkins Simon planted and how many Simon will harvest in the fall. (Suppose that Simon will sell every pumpkin that he produces.) Therefore, Carl sees how many pumpkins Simon is actually going to sell this year. Carl has this information before he makes his own decision about how many to plant. If Simon plants enough pumpkins to yield Qs this year, then Carl knows that the profit maximising amount to produce this year is QCarl = Group of answer choices a. 8,000 - Qs/2. b. 16,400 - 400Qs. c. 16,400 - 800Qs. d. 4,000 - Qs/2. e. 12,000 - Qs
- Firm A and firm B are battling for market share in two separate markets.Market I is worth $30 million in revenue; market II is worth $18 million.Firm A must decide how to allocate its three salespersons between themarkets; firm B has only two salespersons to allocate. Each firm’srevenue share in each market is proportional to the number ofsalespeople the firm assigns there. For example, if firm A puts twosalespersons and firm B puts one salesperson in market I, A’s revenuefrom this market is [2/(2 1)]$30 $20 million and B’s revenue is theremaining $10 million. (The firms split a market equally if neitherassigns a salesperson to it.) Each firm is solely interested in maximizingthe total revenue it obtains from the two markets.a. Compute the complete payoff table. (Firm A has four possibleallocations: 3–0, 2–1, 1–2, and 0–3. Firm B has three allocations: 2–0,1–1, and 0–2.) Is this a constant-sum game?b. Does either firm have a dominant strategy (or dominated strategies)?What is the…COURSE: MICROECONOMICS - Cournot Model:In the market for a given good there are only 2 firms satisfying the demand, and their respective total cost functions respond to the form: CTi = 10Qi + 5 and the demand is estimated to be: P = 31 - QIf the decision variable for both firms is that the quantity they will produce and realize will be decided simultaneously it is asked to:(a) calculate the profit and reaction function of each firmb) graph market equilibriumc) calculate the profits that both companies will obtain in equilibriumCarl and Simon are two pumpkin growers who are the only sellers of pumpkins at the market. The demand function for pumpkins is Q = 16,400 – 400P, where Q is the total number of pumpkins that reach the market and P is the price of pumpkins. Suppose further that each farmer has a constant marginal cost of $1 for each pumpkin produced. Assume that Carl can tell, by looking at Simon's fields, how many pumpkins Simon planted and how many Simon will harvest in the fall. (Suppose that Simon will sell every pumpkin that he produces.) Therefore, Carl sees how many pumpkins Simon is actually going to sell this year. Carl has this information before he makes his own decision about how many to plant. If Simon plants enough pumpkins to yield Qs this year, then Carl knows that the profit maximising amount to produce this year is Qcarl = O 8,000 – Qs/2. O 16,400 – 400Qs. O 16,400 – 800Qs. O 4,000 – Qs/2. O 12,000 – Qs.
- A producer of manure is located next to a bakery. The producer of manure produces M pounds of manure daily and earns profits of 156M - M². The bakery sells C' cakes daily, and it earns profits of 312C-C²-MC (the strong smell of manure drives away the appetite of many would-be customers of the bakery). In a competitive equilibrium solution, where each business seeks to maximize profits, a total of if be sold daily. From a social point of view, the producer of manure should not produce at all. Choose one: A. true B. false pounds of manure willConsider a society consisting of just a farmer and a tailor. The farmer has 30 units of food but no clothing. The tailor has 60 units of clothing but no food. Suppose each has the utility function U=Fc, If the price of clothing is always $1, and the food price is currently $1, then we can conclude O the market is at a competitive equilibrium. the price of food will drop towards a contitive equilibrium. the price of food will increase towards a competitive equilibrium. O None of the above..You own a fast food restaurant and must decide on a pricing strategy for burgers and fries. The market you serve contains equal numbers of 3 types of consumers called "Average", "Burger Buffs", and "Fries Fiends". Each consumer will purchase at most 1 of each food type. Their valuations of the two goods are listed in the following table. Assume for this problem that the costs of production are zero. Consumer Valuations Consumer Types Average Burger Buffs Fries Fiends Burgers $5.33 $12 $3 Fries $8 $3 $11 a. What are the optimal (separate) prices for burgers and fries? b. What is the optimal (pure) bundle price for a meal? Did bundling increase your profits? Explain.
- sMary and Raj are the only two growers whoprovide organically grown corn to a local grocery store.They know that if they cooperated and produced lesscorn, they could raise the price of the corn. If theywork independently, they will each earn $100. If theydecide to work together and both lower their output,they can each earn $150. If one person lowers outputand the other does not, the person who lowers outputwill earn $0 and the other person will capture the entiremarket and will earn $200. Table 10.6 represents thechoices available to Mary and Raj. What is the bestchoice for Raj if he is sure that Mary will cooperate? IfMary thinks Raj will cheat, what should Mary do andwhy? What is the prisoner’s dilemma result? What is thepreferred choice if they could ensure cooperation? A =Work independently; B = Cooperate and Lower Output.(Each results entry lists Raj’s earnings first, and Mary'searnings second.)4