Find the marginal & the average functions for each of the following total function, evaluate them at Q= 3 & Q=5? 1. T = Q - 13 Q +78 2. TR =12Q-Q?
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- The answer of function!y = (3 - x)6 + 7 apply the function in economic optimization conceptIt costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake is sold for $4.90 each. (iv) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold.(v) Graph both functions on the same coordinate axes.(vi) From your graph find coordinatae at which cost equals revenue.(vii) Using your graph, determine how many cupcakes need to be made to produce revenue of at least $1,029. How much profit is made for this number of cupcakes?
- 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)Which one of the following is the derivative of √k? O (1/2)k-1/2 ○ (1/2)k 2k² O Ooplease give me correct answer with calculation otherwise i give multiple downvote and "Dont use chatGPT"
- Hi, I have been trying to compute the optimal values from this lagrangian. But I can't seem to find a way to get the values from the answer key. I attached both the question and answers. Could you please explain to me how to get these values from the first-order conditions? Thank you very muchfunction for the lightweight compasses is given by p = 40- 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Type your answer here:Find f'(x) for the given function. 9x f(x) = -X_ X- 1 f'(x) =
- Define the following words(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?I’m unsure what the formula in this example problem is asking for, in terms of how to answer a-c. Im also not positive I understand how to graph I-C and P-C curves is there a formula to follow?