Demand functions? Help!?
919155
I think you should restate the question because it does not make sense as is.
1048776
Type this in google\n\n   "linear programming.pdf"\n\n  U will get your answer on the very first page, with sites like these\n\n    http://www.stats.ox.ac.uk/~yu/
763076
1st Problem:\n\nLet's see, if we sell 198 thousand candy bars, we are giving them away, which is terrific for volume, but bad for profit.    \n\nRevenue = x P(x), = 9x-(x^2/22)  differentiate to get 9-(2x/22) so x/11=9 x=99\n\nPrice would be  4.50
380208
You got it dude, try there:\n\nhttp://www.ticalc.org/pub/v200/
509660
His profit will actually be found by taking his price minus all of his expenses - you can't just take the derivtive of the price function.  Since the price function given is per widget, multiply it by x to find the total revenue from the selling of x widgets.  The costs given are already given in terms of a total number of widgets, so we can just add those up.  So you're really looking at a profit function\n\nP(x) = x[90 - (x/24)] - (1200 + 60x + x^2/24)\n= 90x - (x^2/24) - 1200 - 60x - x^2/24\n= - 1200 + 30x - x^2/12\n\nTaking this derivative you get\nP'(x) = 30 - x/6\n\nTo find the max profit, set this to 0 and solve for x:\n0 = 30 - x/6\n30 = x/6\nx = 180\n\nSo after selling 180 widgets, you'll maximize profits.  And putting this back into the original per unit price function, you find that you're selling them at\n\nPrice = 90 - x/24\n= 90 - 180/24\n= $82.50 each
841120
1. The demand gives you the price of a single item, so the revenue will be the price of an item times the number of items bought:\n\nr(x) = x * p(x) =  -4x^2 + 28x\n\n2. The profit function is revenue - cost:\n\n(-4x^2 + 28x) - (4x + 12) = -4x^2 + 24x - 12\n\n3. First, it would be helpful to factor out a common factor:\n\n-4(x^2 - 6x + 3)\n\nIf you have a quadratic function x^2 + bx + c, in order for it to be a perfect square, c must equal (b / 2)^2. In this case, b = -6, so c should equal 9. So, adding 6 (while also subtracting 6 to not change the value of the expression) should give a perfect square.\n\n-4(x^2 -6x + (3 + 6) - 6)\n\n-4( (x^2 - 6x + 9)  - 6 )\n\n-4(x^2 - 6x + 9) + 24\n\n-4(x - 3)^2 + 24\n\nThis puts the equation into vertex form, so the vertex or maximum value occurs where x = 3.
238521
There is no demand.  The input was received because of a request or demand.  The input is simply sitting there available for use.\n   WRONG!  Since the input is obviously a reply, it will include the address of the demand including the X,Y coordinates.\n   In human verbal communications, input is constantly received without demands.  In this situation the only demand can be the open receptacle.
148434
So, continuing with mr_w's excellent example, we have 4 equations in 4 unknowns. So you can set this up as a matrix-vector problem.  Define matrix M such that M * Number of games bought vector = Cost & total games vector.  Assigning the rows of M in order to the total cost, the PS3 and Xbox360 cost, the PS1 and Xbox360 cost, and the total number of games, \nM = \n70 150 300 450\n0 0 300 450\n70 0 0 450\n1 1 1 1\nNumber of games bought vector =\na\nb\nc\nd\nand Cost & total games vector =\n13910 12000 3050 54\nThe solution will find the values of a, b, c and d.\nWhen I ran the solution I ended up with noninteger values for each and the values checked with the problem statements.  I hope those values were mr_w's solution.
367646
Price\nProduct\nPlace\nPromotion
482334
Love to help buy.....\nMore information needed!
551024
Macro means large, Micro means small.\n\nIf you took the sum of every indivudual demand curves, you would have the aggregate.\n\nExample:  Person A would demand 5 units at $3.00 while Person B would demand only 4 units at $3.00.  The aggregate demand curve at $3.00 would then be 5 + 4 or 9.\n\nGenerally speaking, for normal goods, as the price rises, people demand less ... if the price were $4.00 in the above, then Person A might only demand 2 units and Person B may only demand 3 units.  Generally this reflects the opportunity cost of th next best alternative.  As you are required to spend more on one good, you can afford that much less of another ... so the trade off's become greater.
405106
Inflation/Deflation, Supply/demand and umm the crazy graphs and curves of demand, supply etc
1178181
I assume this is an either/or question. Both appear to be technically acceptable, but Supply and demand of commodities and utilities sounds more professional. Of course, I'm also assuming that you are using this in a title or will be adding the necessary verbage to complete a sentence.
522423
Quantities:\nIf the price is going to fall the demand QUANTITY will increase & supply QUANTITY will decrease.\n\nCurves:\nIf the price going to fall the curves of demand & supply will not shift because the effective factor is the price, so any change in price will make movement on the curve, but the curve will not shift upward or downward (remeber any effetive factor instead of the price will shift the curves).\n\nEquilibrium:\nThere are many senarios could happen when the price falled that depend on some factors of the good:\n\nElasticity, Price ceiling, Price floor, kind of good if its posible to increase the suuply in the short term (example ship need a long time to be built), because there are 3 kind of periods (market period-day, short period month or week, long period), but the price here will fall, then supply will decrease Consequently we should check if the good could be stored for a long time like cars, or must be sold quickly like foods that will affect quantity of supply decreases.\n\n1- if demand increases > supply decreases that lead to increase in equilibrium quantity < increase in equilirium price. (vicevarse).\n\n2- if demand increase = supply dencrease that lead to no change in equilibrium quantity + increase in equilibrium price.\n\ncheck the factors above wich one related to you question and choose.\n\nPromise me to do your homework if it was again alone & i will help you anytime sister :)\n\nSalaam :))
752959
Problem 1: Find an exponential function of the form f(x)=ba^x+c with y-intercept 2, horizontal asymptote y=-2, that passes through the point P(1,4). \n\nYou find the y-intercept by replacing x with zero, which gives f(x) [which is y on the graph] = 2, so b + c = 2 (since a^0 = 1)\n\nThe horizontal asymptote is y = c, so c = -2.  That means b must be [you figure it out]\nNow it is y = 4a^x - 2.  This must be true when x=1 and y=4.\nSo 4 = [you figure it out; answer deleted due to complaint from below]\n\n\nProb. 3.  What is the amount in the account if $500 is invested for 10 years at the annual rate of 5% compounded continuously? \n  Just plug in the values.\nA = 500 e^(.05 x 10)\n\n[answer deleted]
79486
demand for resource depends on the price of that resource... either the actual selling price (if the price was too high, consumers would be reluctant to buying it) or the opportunity costs in obtaining the resource (the difficulty in obtaining the resource.. or what you must give up in order to get that resource)\n\nim currently taking a microeconomics class too.
716213
Sure,\n\nRemember it is x units, therefore although you are correct that taking the derivative and setting it equal to 0 yields a value for x of just over 5.5 units you have to round it up to 6 units, under the assumption that x is in whole units per day. That's alright for a daily figure but 6 is incorrect if you are producing amounts averaged over longer periods of time. In short: you are correct and the answer in the book is stupid! Technically though, if C'(x) is your derivative function then you need to establish that C'(6) is closer to 0 than C'(5). C'(5) = -0.4 and C'(6) = 0.274, so C'(6) is closer to 0 and is the correct answer to a stupid question. lol.\n\nYou do have the correct cost function C(x)\n\nC'(x) = 1.2 - 200/x^3\n\nC'(x) = 0 when x^3 = 200/1.2 = 166 2/3\n\nx = 5.503