how to find marginal utility?
99905
Doesn't seem any one can help you. Let's go ahead and close this question out.
458036
If I understand your question correctly, this should help:\n\nTotal Variance = (Actual Quantity x Actual Rate) - (Budgeted Quantity x Budgeted Rate)\n\nIf you get a positive number, the variance is unfavorable and if you get a negative number, the variance is favorable.  \n\nHope this helps!
953599
y = mx + b\n\nCharge = $2(x) + $10\nx = number of rentals\n\ny = 2x + 10
704165
Yes it can. For example products that require a large expense to dispose of can have a negative marginal utility if the gain from that extra product is less that the cost to dispose of it.
152408
Use excel to give delta y/delta x on the curve. Look for a point where this value (the derivative) shoots up in value. That's your point.
569926
a) P(2000) = 2.25*2000-7000 = 4500-7000 = -2500 (loss)\n\nb) P(5000) = 2.25*5000-7000 = 11250-7000 = 4250 (gain)\n\nc) 0 = 2.25*x-7000\n   7000 = 2.25*x\n   x = 7000/2.25\n   x = 3111.11, or 3112 units (rounding up)\n\nThe $4 price per unit is extraneous information in this case, as the function P(X) give us all the info we need.
618425
What you do with extra-polation is assuming that the data is developping along a linear function. So you'll be searching for the function y = c * x where the sum of (your found y-data minus the y-value from the function) is at its minimum.\nSay you found:\n(x,y) = (7,3); (23,8); (26,7); (30,11)\n\nThe function values for these x-values would be:\n(x,y) = (7,7c); (23,23c); (26,26c); (30,30c)\n\nAnd the sum of the differences:\nT = (3-7c) + (8-23c) + (7-26c) + (11-30c) =>\nT = 29 - 86c\n\nT is at its minimum as T = 0, so:\n29 - 86c = 0 =>\nc = 29/86\n\nSo the line you would be looking for is y = 29/86 * x
164601
It's here.  You need to learn how to use google!!\nGo to http://mathworld.wolfram.com/Copula.html
585938
Decision Tree Analysis involves methodically mapping out all the options you have for a given decision, then applying the following 'expected value' formula to each option:\n\nexpected value  = probability x outcome\n\nFor instance, let's say I'm trying to decide whether to put $100 into the stock market or to put it under my mattress.  Let's also say there is a 60% chance that my investment will become $200, and a 40% chance that my investment will shrink to $10 (I just made these numbers up).  The expected value of putting my money in the stock market is:\n\n(60% * $200) + (40% * $10) = $124\n\nSince $124 is higher than the $100 that I would get by stuffing the money in my mattress, decision tree analysis would say I should put the money in the market.\n\nDecision Tree Analysis can get very complex very quickly when you think of all the options available to a given decision.  Good luck!
922757
a) Can't sell more than 4, so 1*p(selling 1) + 2*p(selling 2) + 3p(selling 3) + 4p(selling4).\n\nb) Find the number n so that p(x>n) is less than 0.05 for a Poisson "vif" mean 3.
496092
let x equal (tant)^2=>dx=(sect)^2dt. then simply the integrand, u will have something like integral of (cost)(sint)^2 dt. let u be sint. then u know it :D
323331
Very easy\n\nDo this\n\nChoice 1 \n  Advantages\n  Disadvantages\nChoice 2\n   Advantages\n   Disadvantages\n\nSee wat make sense. Even if this doesnt help,then assign some value to each adv and disadv. Finally ADD all values and see which is sensible.\n\nIt works. This helps u to make a wise and strong decision.\n\nIf Value of Choice 1 > Choice 2, then choice is easy to make.\n\n*** values to each item under adv and dis purely depends on how imp are those to u.\n\nAdv = give + value\nDisadv = Give  -ve value.\nGoodluck..
200344
W=f.delta(x) \nx=w/f = 49821/717= 69.49 metes
399858
Correct, derive and solve for x=0, that will give you the maxima or minima.\nUsing product rule:\ndy/dx= 2ln(x)*(1/x).\nSolve for 2ln(x)/x=0; *x both side\n2ln(x)=0; /2 both sides\nln(x)=0; \nThe answer is 1. The natural log of 1 is zero.\nx=1\n\nTherefore, the min or max is at 1. \n\nIf you want to know if its a max or min you take the second derivative.\n\nd^2y/dx^2= 2/x^2-2ln(x)/x^2=2-0=2 -> If evaluated at the min/max value of x=1.\n\nSince the second derivative is positive, this function is convex, and at 1 it is minimized.
617264
Since each term has at least x in it, divide out the x by distributive property:\n\nx(x^2 - 4xy + 4y^2)\n\nThen factor the rest by FOIL:\n\nx(x-2y)(x-2y)
882707
Independent on X, dependent on Y
262867
Considering  possible events are\nChoosing heads \nChoosing tails \n\nprobability of chosing heads is 0.5\n\nConsidering possible events are\nChoosing heads \nChoosing tails \nChoosing Nothing\n\nprobability of chosing heads is 0.33\n\nConsidering possible events as only heads because next is tails\nprobability of chosing heads is 1.\n\nprobability is always a value betweem 0 and 1.