Find the conditional input demand for L and K for the following cases Production function Target Input output prices Y=100 WL=5 Conditional input demand
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- Leonard Presby, Inc., has an annual demand rate of 1,000units but can produce at an average production rate of 2,000 units. Setup cost is $10; carrying cost is $1. What is the optimalnumber of units to be produced each time?If the MPx/Px is less than the MPY/Py, the firm should use more of Both X & Y inputs O Input X O Input Y ONeither X nor Y as it is impossible to figure out All of the aboveSave The production function for a product in given by q-100KL mergnal product functione MP100K end MP100 he poe of cp,cs00 per day wnd the priefer, w, in S400 per day, what the minimum cost of producing 10,000 units of oupun The minimum cost of producing t10,000 units of output is Round al intemediate retb deciml placand erter your pone unded te deia ps
- 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?suppose 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)The short nm can bẻ defined as any period of time: Léss thần one year (bylnwhichstome imputs are fxed CAIn which all inputs are(variable d.'In which price is fixed FC
- AVC=10-0.03Q + 0.00005Q2TFC=60What is the output where AVC is minimum?The demand for q units of a product depends on the price p (in dollars) according to 512 P q= - 1, for p > 0. Find and explain the meaning of the instantaneous rate of change of demand with respect to price when the price is as follows. (a) $16 (b) $64 Interpret the instantaneous rate of change. O If price decreases by the absolute value of this amount, the demand will drop by 1 unit. O If price increases by $1, the demand will increase by the absolute value of this number of units. If price decreases by $1, the demand will drop by the absolute value of this number of units. If price increases by the absolute value of this amount, the demand will drop by 1 unit. If price increases by $1, the demand will drop by the absolute value of this number of units. Interpret the instantaneous rate of change. O If price decreases by the absolute value of this amount, the demand will drop by 1 unit. O If price increases by $1, the demand will increase by the absolute value of this number of units.…Profit Suppose that the total weekly cost for theproduction and sale of x bicycles is C(x) = 23x +3420 dollars and that the total revenue is givenby R(x) = 89x dollars, where x is the number ofbicycles.a. Write the equation of the function that models theweekly profit from the production and sale of xbicycles.b. What is the profit on the production and sale of150 bicycles?c. Write the function that gives the average profit perbicycle.d. What is the average profit per bicycle if 150 areproduced and sold?
- pols Add-ons Help Last edit was seconds ago xt I UA Calibri 11 + 三 2 | 3 II | I 4 II| II6 4. Thanks to years of consistent contracts and an outstanding administration, Crestwood High School has formed one of the best teaching staffs in the State of Michigan. This staff has learned how to work seamlessly with each other and students. They are now able to effectively teach more students in every class than before. *Name the determinant: Automakers have introduced new heating lamps to their paint shops that allow them to dry layers of paint faster than ever before. These newly invented heaters use less energy and have greatly increased output. 5. *Name the determinant: 27°C Rain II 近Please help in fillin out this table and kkindly provide the caluclations used Picture is attatched thank you(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?
