Price Level 3.0 2.0 B 1.0 LRAS SRAS1 300 500 C SRAS2 AD Real Output In the graph above, the expected input prices at point A are input prices at point B. higher than equal to lower than the expected
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- One contributor to the rational demand forcommitment devices is the time-inconsistencyproblem. Explain how limited processing capacitymight also contribute to the demand.= 2. The cost of operating a jet-powered commercial (passenger- carrying) airplane varies as the three-halves (3/2) power of its velocity; specifically, Co kny3/2, where n is the trip length in miles, k is a constant of proportionality, and vis velocity in miles per hour. It is known that at 400 miles per hour, the average cost of operation is $300 per mile. The company that owns the aircraft wants to minimize the cost of operation, but that cost must be balanced against the cost of the passengers' time (CC), which has been set at $300,000 per hour. At what velocity should the trip be planned to minimize the total cost, which is the sum of the cost of operating the airplane and the cost of passengers' time?Problem 6Cannes Croissants (not a real company) wishes to determine the optimum production quantity for its topselling product, almond croissants. The annual demandfor almond croissants is 12,000 units. The setup costs fora production run of the croissants is US$15. The holdingcost per unit per year is US$0.50. Production is mostefficient when 80 croissants are produced per day. Thecompany operates 300 days during a year.a What is the economic production quantity (EPQ)?b How many production runs will there by per year?c What is the maximum inventory level?d What is the total annual cost (in US dollars)?e What is the length of a production run in days?
- Ain a community of 10000 people, each is willing to pay Ksh 10 for each well dug. The cost of digging the wall is is given by C= Q2+20Q. Calculate the pareto efficiecy number of wells to be dug. If the government want to dug the well at a minimal cost, how many walls will it dig and how much will it spen if the projet is given to a private, profit making organization, how many well would the firm dig?The pumlative eveage labor hours to assemble the first fiva units of product A was 14.579 hours. If the learning curve, based on the previous experience with similar products, is 76%, what is the estlimated tlime (labor hours hat wil be neguirees its assemtie ife 2 uni? The mumiber of labor hours required to assemble the 24 unit is hours. (Round to one decimal place.)The time to assemble the first unit on a production line is 6 hours The learming rate is 0 86. Approximately how long wilttake for the seventh unit to be assembled? The number of hours needed for the seventh unit to be assembled is hours (Round to one decimal place) nswer in the answer box
- Q4 A business manager determines that t months after production begins on a new product, the number of units produced will be P thousand,where P(t) =6?2 + 5? /(? + 1)2 production in the long run (i) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at a distance x meters from the rupture.Turbulence makes it difficult to directly measure the thickness of the slick at the source (where x = 0),but for x > 0,it is found that y =0.5(x2 + 3x)/ x3 + x2 + 4x Required:a)Assuming the oil slick is continuously distributed,how thick would you expect it to be at the source?(i) Find the rate of change of the function f(x) =x + 2/ 1 − 8x with respect to x when x = 1.(ii) The number of units Q of a particular commodity that will be produced with Kthousand dollars of capital expenditure is modeled by Q(K) = 500 K2/3Suppose that capital expenditure varies with time in such a way that t months from nowthere will be K(t) thousand dollars of capital expenditure, whereK(t) =2t4 + 3t + 149 / t + 2 (a) What will be the capital expenditure 3 months from now? How many units will be producedat this time?(b) At what rate will production be changing with respect to time 5 months from now?Will production be increasing or decreasing at this time?Metropolitan Hospital has estimated its average monthly bed needs as N=1,000+9X where X=timeperiod(months);January2002=0 N=monthlybedneeds Assume that no new hospital additions are expected in the area in the foreseeable future. The following monthly seasonal adjustment factors have been estimated, using data from the past five years: Forecast Metropolitans bed demand for January, April, July, November, and December 2007. If the following actual and forecast values for June bed demands have been recorded, what seasonal adjustment factor would you recommend be used in making future June forecasts?
- It is estimated that a grocer’s daily profit from the sale of two brands of cherry juice is given by thefunction:P(x,y) = (x - 30)(70 - 5x + 4y) + (y – 40)(80 + 6x – 7y) centswhere x is the price per can of Brand V Juice and y is the price per can of Brand Triple V Juice. CurrentlyBrand V Juice sells for 50 cents per can and Brand Triple V Juice sells for 52 cents per can.i. Use marginal analysis to estimate the change in the daily profit that will result if the grocer raises theprice of Brand Triple V by one cent per can while keeping the price of Brand V unchanged.ii. Find a stationary point of the daily profit function. Classify this stationary point.Set up the objective function and the constraints, but do not solve. Wison Electronics produces a standard Blu-ray player and a deluxe Blu-ray player. The comoany has 2900 hours ef isbor and 18,000 in aperatng espenses availanle each week It takes b5 hours to produce a standard Blu-ray player and 6 hours to preduce a deluxe Blu-ray player Each standard u-ray player casta 15, and each deluxe Biu-ray player costs SI36 The company is requred to produce at least 25 standard Blu-ray players. The company makes a profit of $32 for each standard u-ray plaver and $26 for each delue Blu-ray playen How many of esch type of Blu-ray plarer should be preduced to masimie profe? (Let represent the number of standard Blu-ray players, y the number of deluve Bla-ray piayers, and z the prot in dolars) Maxinie sutject to labor operating expense required standard Bu-ray players v20(ii) For what values of x is ()Px increasing?(iii) For what values of x is ()Pxdecreasing?