Please indicate whether the following production function has the characteristic of CRS, IRS and DRS. F(K, L) -[aKρ+(1-a)Lρ]1/ρ, (1›a>0, 1> ρ) A.IRS B. DRS C. CRS
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Please indicate whether the following production function has the characteristic of CRS, IRS and DRS.
F(K, L) -[aKρ+(1-a)Lρ]1/ρ, (1›a>0, 1> ρ)
A.IRS
B. DRS
C. CRS
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- 4) Please indicate whether the following production function has the characteristic of CRS, IRS and DRS. (b) F(K, L)=[aKe +(1-a)L¢ ]ve, (1>a>0, 1>p) 1. CRS 2. IRS 3. DRS 4. None of the aboveDetermine the returns to scale for the following production functions. a) ? = K + 7L b) ? = KL3A firm has the following production function: Q = 9L2/3K1/3 Where Q is output, L is labor and K is Capital. Where Q is output, L is labor and K is Capital. (a) What sort of returns to scale characterize this production function? (b) Derive the marginal product of labor and capital. (c) What do we mean when we say the production function is linearly homogenous?
- The difference between ATC and AVC decreases with decrease in level of output.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.A manufacturer of Chocolate has a fixed cost of Tk.60000 and variable cost is Tk.7 perproduced Chocolate. Selling price is Tk.10 per Chocolate.Requirement- At what number of units will break even occur and At what sales (revenue) volume will break occur?
- 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?Describe the behaviour of the ATC in relation to MCBen's swim coach estimates that his time, t, in the 100-yard butterfly at a big upcoming meet as a function of the number of yards he swims per week, y, is t = 50+8e-0.00005y Based on this production function, his coach also estimates that if Ben swims 20,000 yards per week, his time will be 52.94 seconds, and he will finish tenth place. If he swims 40,000 yards per week, his time will be 51.08 seconds, and he will come in third. If he swims 60,000 yards per week, his time will be 50.40 seconds, and he will win the meet. Use calculus to determine Ben's marginal productivity of time given the number of yards he practices. Is there diminishing marginal productivity of practice yards? Ben's marginal productivity of swim time given y practice yards (MP) is (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ MPy character.)
- Al's production function for deer is f(x1,x2) = (2x1 + x2)^1/2, where x1 is the amount of plastic and x2 is the amount of wood used. If the cost of plastic is $4 per unit and the cost of wood is $3 per unit, then the cost of producing 5 deer is a) $55 b) $10 c) $50 d) $757. Given the Average Coat function: AC = x2 + 2y2 -2y- 6x + 207 – 2x 7.1 Find the quantitiea of x and y, which optimize Average Coat 72 Derive the Total Cost Functionsuppose the Total Revenue function for a product is given by R(x)=V0•1x+0-2x² (R-4,x--u) a) Find the Rate of change in Tota) Revenue or Morginal Revenue . a) b) Find Margina) Revenue nhen x=4 units are sold and slate nhatitpredicts for the sale of the next unit c) Firid the Actual change in To tol Revenue uhen productm Level is ingeased from 4 to 5 units di Esplainany discreponcy hetncen parls (1) and (c)resuHs mathemohie ally / Graphically d)