Consider the profit getting from selling x and y units of two commodities is given by as follows: i. P(x, y) = −0.1x2 - 0.2xy - 0.2y2 + 47x + 48y - 600. Find out the production levels for x and y that maximizes the profit. ii. Now assume that the total production is limited to 200 units. Find out the production levels that maximizes the profits
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Consider the profit getting from selling x and y units of two commodities is
given by as follows:
i. P(x, y) = −0.1x2 - 0.2xy - 0.2y2 + 47x + 48y - 600. Find out the
production levels for x and y that maximizes the profit.
ii. Now assume that the total production is limited to 200 units. Find out the
production levels that maximizes the profits.
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- Consider a regional with a uniform distribution of population where every household consumes the same amount of a good. The regional government recently stated its policy for the location of factories making the good: “A factory should reach the minimum point of its average production cost curve at an output of 1000 units. Since the total demand for the good is 4000 units, we should have 4 factories in the region. Since the distribution of the population is uniform, the factories should be distributed uniformly throughout the region” Comment on this policy as to in particular whether there should be more or fewer factories for efficiency?In mid-2010, Saudi Arabia and Venezuela (both members of OPEC)produced an average of 8 million and 3 million barrels of oil a day,respectively. Production costs were about $20 per barrel, and the price ofoil averaged $80 per barrel. Each country had the capacity to producean extra 1 million barrels per day. At that time, it was estimated that each1-million-barrel increase in supply would depress the average price of oilby $10.a. Fill in the missing profit entries in the payoff table.b. What actions should each country take and why?Venezuela3 M barrels 4 M barrels8 M barrels _____, _____ _____, _____ Saudi Arabia9 M barrels _____, _____ _____, _____c10GameTheoryandCompetitiveStrategy.qxd 9/29/11 1:33 PM Page 430Summary 431c. Does the asymmetry in the countries’ sizes cause them to take differentattitudes toward expanding output? Explain why or why not. Commenton whether or not a prisoner’s dilemma is present.Consider the market for coffee in the small, isolated country of Krakozhia. Within Krakozhia, the domesticdemand for coffee is:Qd = 500 − 2pand the domestic supply of coffee is:Qs = −150 + 3p(a) Suppose Krakozhia is closed to trade with the rest of the world. Determine the equilibrium price andquantity.(b) Draw a graph showing the domestic supply and demand from (a). Label all axes and curves and markout intercepts and equilibrium values. Shade and label areas for the consumer and producer surplus.(c) Calculate the consumer, producer, and total surplus. from (a).(d) Suppose Krakozhia is open to trade and the world price is 150. Determine the domestic quantity supplied,domestic quantity demanded, and the quantity exported.(e) Draw a graph showing the domestic supply and demand and world price from (d). Label all axes andcurves and mark out intercepts and relevant values. Shade and label areas for the consumer and producersurplus.(f) Calculate the consumer, producer, and total surplus…
- A city passes a law that automobile prices may not increase. The auto market is currently in equilibrium. What will happen in that market if costs of producing autos increase? Selected answer will be automatically saved. For keyboard navigation, press up/down arrow keys to select an answer. a More than the allocatively efficient amount will be produced. b Less than the allocatively efficient amount will be produced. c The allocatively efficient amount will be produced but there will be a shortage. d The allocatively efficient amount will be produced but there will be a surplus.Small engines are the main components of office and house appliances like printers, hand dryers, microwave ovens, food processors, etc. The graph depicts the market for small engines in the United States. Suppose that the government imposes a $15 tariff on each imported engine in an effort to bring manufacturing jobs back to the United States. Place the Waste shape to describe the waste of resources that would result from the trade restriction. Price (3) Incorrect 50 45 40 35 30 25 20 15 10 5 0 0 total cost: What is the total cost of the tariff? 337.5 Domestic supply Domestic demand 15 30 45 60 75 90 105 120 135 150 Quantity (millions of engines) Incorrect World supply Waste millions of dollarsToasterOvenslnc. is developing technology to make a toaster oven than uses less electricity. If successful, the technology will significantly reduce the amount of energy that is wasted due to product inefficiencies. If the firm sells only in response to the market price, the quantity shown in the third column of Table 13.4 is supplied. If the firm were also to receive the broader social benefits of the new technology, the willingness to supply is shown in the fourth column. Table 13.4 Price Quantity Supplied If Firm Quantity Demanded Quantity Supplied Also Receives Social Benefits 15 800 500 710 16 740 540 740 17 680 580 770 18 620 620 800 19 560 660 830 20 500 700 860 If the firm were to receive a price based only on private benefits, the equilibrium price and quantity would be O $16,740 $17,680 $18,620 $19,660
- Equilibrium price = 54.48 dollarsEquilibrium quantity = 2.89find answer of 2nd box and 3rdDefine the production factors with examples for Hajji Ali Farms in BahrainRecently, China placed tariffs on the importation of US soybeans. Assume that the domestic market for soybeans in China is described by the following equations: Demand: P = 11.5 – Q Supply: P = 5.5 + Q Price is in 10 Yuan (¥) per bushel of soybeans and the units for Quantity are 100 million bushels per year. This is to make graphing simpler. This does NOT mean that the price is 10 and quantity is 100. Rather it means that if the price was 40¥ and the quantity was 7,500,000,000 bushels, this would plot as 4 and 7.5 respectively. The world price for soybeans is ¥65/bushel (this would graph as 6.5). Graph the soybean market in China showing equilibrium both with no barriers to trade and with a ¥15/bushel tariff. Be sure to fully and clearly label the graph including: Domestic Demand curve (D), Domestic Supply curve (S), the World Price (WP), and the Price with tariffs (PT). Based on your graph for question 3, what amount of soybeans will China import from the US if there are no…
- Recently, China placed tariffs on the importation of US soybeans. Assume that the domestic market for soybeans in China is described by the following equations: Demand: P = 11.5 – Q Supply: P = 5.5 + Q Price is in 10 Yuan (¥) per bushel of soybeans and the units for Quantity are 100 million bushels per year. This is to make graphing simpler. This does NOT mean that the price is 10 and quantity is 100. Rather it means that if the price was 40¥ and the quantity was 7,500,000,000 bushels, this would plot as 4 and 7.5 respectively. The world price for soybeans is ¥65/bushel (this would graph as 6.5). Graph the soybean market in China showing equilibrium both with no barriers to trade and with a ¥15/bushel tariff. Be sure to fully and clearly label the graph including: Domestic Demand curve (D), Domestic Supply curve (S), the World Price (WP), and the Price with tariffs (PT).A fisherman fishing at Lake Mengkuang TIti can catch 10 fish per day. Each additional fisherman fishing at the lake reduces the catch per fisherman by one fish per day. i) If a fisherman would rather stay home than catch fewer than four fishes, how many fishermen will show up each day to fish at the lake? ii)A steel mill, S, produces 20 tons of water pollution for every 100 tons of steel it produces. The downstream village of Watertown (WT) spends $150 per ton of water pollution from S to eliminate itsenvironmental harm. S is a price taker in an international market where the demand for steel is p = 100 – 3X and the market supply of steel is p = 40 + 3X. X is in units of one (1) million tons per day and p is the price in dollars per ton of steel. S has a daily increasing marginal cost of production function, MC = x.S's Total Cost function = x*x/2 where x is S’s daily output.(a) If S has no legal liability for its pollution, what is S’s daily production of steel?How does your answer here relate to the concept of private efficiency?(b) WT wants to bargain with S to reach an optimal agreement on this pollution. Assuming S is still not legally liable for its pollution and both S and WT do not use lawyers, would there be an agreement? How does your answer here relate the concept of private…