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- Suppose the demand equation is 200x + 10p = 10000, where x is the num- ber of items sold when the per unit price is p dollars. Determine (a) the rev- enue function,(b) the domain of the revenue function,(c) the revenue derived from the sale of the 20th item the marginal revenu(de)wthen x = 20,level of production that maximizes the revenue,and the maximum revenue.1. For the demand function Qd = a - bP and the supply fuction Qs = dP - c, using Cramer's rule determine the equilbrium price and equilibrium quantity. 2. In calm waters, the oil spilling from the ruptured hull of a grounded tanker spreads in all directions. Assuming that the area polluted is a circle and that its radius is increasing at a rate of 2ft/sec, determine how fast the area is increasing when the radius of the circle is 40ft. 3. A firms production function is Q(L) is 15L2 - 0.1L3, where output (Q) is a fuction of a single input labour (L) I. Find the number of workers required to maximize total product. II. For what number of workers is average product maximumAssume that a country is endowed with 8 units of oil reserve. There is no oil substitute available. How long the oil reserves will last ifa) the marginal willingness to pay for oil in each period is given by P=8-0.57q. (b) the marginal cost of extraction ofol s constant at $4 Per unit and c) discount rate is 1%?
- Can you help with parts c,d, and e please? The estimated daily demand for river corssings on a proposed new bridge is: Qd = 100,000 - 20,000P where Qd is the quantity demanded measured in number of daily crossings and P is the price(toll) per crossing in dollars. Engineers estimate that constructing the new bridge will result in a fixed cost of $1.2 billion or $120,000 per day over the life of the bridge. Once constructed, there are no marginal costs and variable costs associated with the bridge's use. Based upon the above information, answer the following questions: a. If a private company were to build the bridge, what would be the profit-maximizing number of daily crossings? b. What price per crossing(toll) would the profit-maximizing company establish? c. What would be the socially optimal number of daily crossings? d. What deadweight loss would exist given your answers to part (a) and (b)? e. Would a profit-maximizing company build the bridge?Jason Stilton is the chief executive officer of RightLiving a company that buys life insurance policies at a discount from terminally ill persons and sells the policies to investors for 85% of the value of the future benefit. The patients recieve the cash to use for medical and other expenses and the investors are guaranteed a positive return on thier investment. The diffreance between the purchace and sale prices is the RightLivinf Profit. Stilton is aware that some sick patients may obtain insurance policies through fraud (Not revealing thier illness on the insurance application). An insurance company that discovers such will cancel the policy and refuse to pay. Stilton beleives that most of the policies he has purchased are legitimate, but he knows some are probably not. Question Using IDDR approch, discuss the decision process Stilton should use in deciding whether to disclose the risk of fraudulent policies to potential investors.Suppose that the government wishes to encourage the manufactureand sale of small cars. The current supply and demand of small carsare: Qs = −(10/9) + (1/9)P; Qd = 100 − P, where Q is in millions ofcars and P is in hundreds of dollars.Now, suppose that the government is considering two alternative plansfor encouraging small car sales. Under Plan A, every car manufacturerwill receive a $500 rebate from the government for each car sold. Underplan B, every purchaser of a small car will receive a $500 rebate fromthe government.Which of the plan is more effective in encouraging sales? Show bycomputing the equilibrium quantity under each plan.
- Industry demand and supply for a new soft drink NeuCola is as follows: Qd = 460,000 – 100,000 P + 22,500 Pc + 21 Y + 2,000 T Qs = 40,000 + 80,000 P – 60,000 PL – 5,000 Pk Where P is average price of the drink in $ per pack, Pc is average wholesale price other branded drinks in the market, Y is income in $, T is average daily temperature in degrees, PL is average wage of labor in $ per hour and Pk is the average cost of capital in $. When quantity is expressed as a function of price, what are NeuCola’s demand and supply curves if Pc = $8, Y=$10,000 billion, T=75 degrees, PL=$10 and Pk=$12. Will there be surplus or shortage of NeuCola when P = $5, $7 and $9? Use a table to show values of quantity demanded and quantity supplied at each level of price. (Values of Qd and Qs calculated in millions may be rounded in the table). Calculate the market equilibrium price and equilibrium output. 4. Draw a labelled hypothetical demand and supply model…Industry demand and supply for a new soft drink NeuCola is as follows: Qd = 460,000 – 100,000 P + 22,500 Pc + 21 Y + 2,000 T Qs = 40,000 + 80,000 P – 60,000 PL – 5,000 Pk Where P is average price of the drink in $ per pack, Pc is average wholesale price other branded drinks in the market, Y is income in $, T is average daily temperature in degrees, PL is average wage of labor in $ per hour and Pk is the average cost of capital in $. a. When quantity is expressed as a function of price, what are NeuCola’s demand and supply curves if Pc = $8, Y=$10,000 billion, T=75 degrees, PL=$10 and Pk=$12. b. Will there be surplus or shortage of NeuCola when P = $5, $7 and $9? Use a table to show values of quantity demanded and quantity supplied at each level of price.42. To ensure that utilities receive a normal rate-of-return, regulators set price equal to:a. Marginal costsb. Short-run average variable costsc. Long-run average variable costsd. Demand43. Which of the following statements about electricity is correct?a. Electricity is a primary source of energy.b. There are two stages – generation and transmission- necessary to get the electricityfrom the utility provider to the final customer.c. A unique aspect of electricity is that demand must equal supply at each instant.d. Regulated utilities do not maintain excess generating capacity.44. Why does the rate of return (RoR) regulation stimulate more than the efficient level ofcapital investment from the regulated utilities companies?a. A state government directly subsidies capital investments.b. The capture effect rewards capital investment more than other types of investment.c. The RoR is applied to the rate base, which includes capital but not operating costs.d. Regulator salaries increase as…
- A risk-averse individual experiences an adverse event with probability of 2% (0.02) that costs $1000. How much insurance coverage will the individual purchase if premiums are actuarily fair? a-some amount more than $1000 b-$1000 c-$0 d-some amount greater than $0, but less than $1000 The government of Stratospheria is currently inviting investors to bid for the exclusive right to provide cable television service to its residents. The market demand for this service is P=55-0.01Q, where Q is the number of households that would subscribe to the cable service and P is the monthly fee charged to the subscribers. The associated marginal revenue curve is MR=55-0.02Q. Fun Cable Company is interested in bidding for the right to provide cable service in Stratospheric. It has a constant average and marginal cost of RM5 for providing cable service to each household. 2.4) What is the most Fun Cable Company would bid for the franchise? 2.5) At what level of output (number of households) is…Company A is the only supplier of glass in Big Apple City used for tall buildings’ exteriors. Its marginal cost of production is cA=1, and it has no other production costs. The demand for such glass in Big Apple city is QD=2-P. Company B in Jersey City produces the same glass and is considering whether to expand to Big Apple city. If it enters, it needs to get a permit to allow it to be a supplier in the Big-Apple city at a cost of L=0.5, which does not vary with quantity of output, and its marginal cost of production is cB=0.5. If it expands to the Big-Apple city, companies A and B both supply to the market, and the market price P satisfies QA+QB=2-P, where QA is company A’s production level and QB is company B’s. a) If company B expands to the Big-Apple city, what is the resulting price in a Nash equilibrium? b) Company B hires a consulting company to advise whether it should expand to the Big-Apple city. If you’re running the consulting company, what is your advice? Explain your…Industry demand and supply for a new soft drink NeuCola is as follows:Qd = 460,000 – 100,000 P + 22,500 Pc + 21 Y + 2,000 TQs = 40,000 + 80,000 P – 60,000 PL – 5,000 Pk Where P is the average price of the drink in $ per pack, Pc is the average wholesale price of other branded drinks in the market, Y is income in $, T is the average daily temperature in degrees, PL is the average wage of labor in $ per hour and Pk is the average cost of capital in $. a.When quantity is expressed as a function of price, what are NeuCola’s demand and supply curves if Pc = $8, Y=$10,000 billion, T=75 degrees, PL=$10, and Pk=$12. b., Will, there be a surplus or shortage of NeuCola when P = $5, $7, and $9? Use a table to show values of quantity demanded and quantity supplied at each level of price. (Values of Qd and Qs calculated in millions may be rounded in the table).c.Calculate the market equilibrium price and equilibrium output.d.Draw a labeled hypothetical demand and supply model clearly indicating…