5-7. D(x) = 2(x - 3)² is the price, in dollars per unit, that consumers will pay for x units of an item, and S(x) = (x-4)² + 79 is the price, in dollars per unit, that producers will accept for x units. Find the following for x ≤ 10.
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- 14. The quantity, Q, of a certain product manufactured depends on the quantity of labor, L, and of capital, K, used according to the function Q=900L1/2K2/3. Labor costs $100 per unit and capital costs $200 per unit. What combination of labor and capital should be used to produce 36,000 units of the goods at minimum cost? What is that minimum cost?a) The market demand and supply schedule for Commodity X is as follows: Qd= 2000 - 60P and Qs= 400 + 20P What is the Equilibrium Price (Rs) and quantity (units) demanded for X on the market? Use a diagram. Assuming that the Total Cost incurred by a firm is Rs 1100, what is the profit made if it sells only 65 units. Suppose the government imposes a tax of $ 8 per unit. With the help of a diagram, what will be the new equilibrium price, equilibrium quantity and show the effect on the consumer and on the producer. Justify your answer. Demand for X falls by 25% as a result of an increase in price of 10%. Calculate the elasticity of demand for the product.4. An offshore oil well located at a point W that is 5 km from the closest point A on a straight shoreline. Oil is to be piped from W to a shore point B that is 8 km from A by piping it on a straight line underwater from W to some shore point P between A and B and then on to B via pipe along the shoreline. If the cost of laying pipe is P10,000,000/km underwater and P5,000,000/km over land, where should the point P be located to minimize the cost of laying the pipe?
- Please assist with the steps to solve the proble below. The quanitity demanded x(in units of a hundred) of the miniature cameras per week is related to the unit price p(in dolars) by p= -0.1x^2+60 and the quantity x(in units of a hundred) that the supplier is willing to make available in the market is related to the unit price p (in dollars) by p= 0.1x^2+x+30 If the market price is set at the equilibrium price, find the consumers' surplus and the producers' surplus. Round to the nearest dollar.Suppose the Marginal product of labor in the economy is given by MPN= .002(16,000-N), while the supply of labor is N=1000 + 1000w. Find the market clearing real wage rate and level of employment. What happens to the wage rate and employment if wealth rises, reducing the supply of labor to N= 500 + 1000w? As in (a), what is the unemployment rate if real wage is 1 more than the equilibrium wage? (hint: solve the real wage and then add it by 1, then find the difference of quantity of labor supplied and demanded).Suppose a company has fixed costs of $41,600 and variable cost per unit of 2/5x + 444 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1776 − 3/5x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = 1300, 32---correct (b) Find the maximum revenue. (Round your answer to the nearest cent.)$ 1314240----- correct(c) Form the profit function P(x) from the cost and revenue functions. P(x) = ????? Find maximum profit.$ 401956--- correct(d) What price will maximize the profit? (Round your answer to the nearest cent.)$ ??? only need help on c and d
- 7 In a G/G/3 system with average service time equal to 6.9 minutes, average time in system equal to 25.1 minutes, what is the average wait in queue?The 180-day interest rate in the United States is 12.25% per annum. The 180-day interestrate in Canada is 15.25% per annum. The Canadian dollar sells spot in New York forU.S. $.8203/Can$. The Canadian dollar sells 180 days forward in New York for U.S.$.8113.a. Are interest rates and forward rates in equilibrium?b. For a transaction size of U.S. $600,000, how can an investor take advantage of thesituation without taking undue risks? Ignore transaction costs and income taxes.