Find the point of diminishing returns (x.y) for the function R(x), where R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising (in thousands of dollars). R(x) = 11,000 -x+33x +600x, 0sxs20 The point of diminishing returns is (Type an ordered pair.)
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- Maximize the following total revenue TR=-Q2+120Q by finding the critical value(s), testing the second-order conditions, and calculating the maximum total revenue.Please no written by hand and no emage Suppose that a company that makes and sells hand-crafted artwork has a cost function C(x) = 24x + 300, where x is the number of items made, and a revenue function R(x) = 45x, where x is the number of items sold. What is the profit from the 28th item made and sold? There is a $ sign listed next to the answer box, so do not type a $ sign in your answer.Total profit is defined as total revenue, R(x), minus total cost, C(x), and is given by the function P(x)=R(x)-C(x). Given R(x)=59x-0.4x^(2) and C(x)=2x+15, find each of the ollowing. P(x) R(80),C(80), and P(80)
- For a company with (inverse) demand function P = 4,510 - 55Q and cost function C = 88,000 + 660Q, let QR, QU, and QP denote, respectively, the quantities that maximize revenue, per-unit profit, and overall profit. Which of the following statements is true?A. QU > QP > QRB. QP > QU > QRC. QU > QR > QPD. QR > QU > QPA firm's profit is given by the function PROFIT= 1000B -3x2–4x + 2xy –5y2 + 48y,where x denotes output and y advertising expenditure.a)Find the level of output and advertising expenditure to maximize profit. Confirm that second order conditions are satisfied. Find the level of maximum profit. b)Find the level of xand ywhen the firm has constrain 2x+y=5 b=12The demand function for a particular brand of LCD TV is given by p = 1480 − 20x where p is the price per unit in dollars when x television sets are sold. (a) Find the revenue function. R(x) = (b) Determine the number of sets that must be sold in order to maximize the revenue.sets(c) What is the maximum revenue? $ (d) What is the price per unit when the revenue is maximized?$ per unit
- 1. A firm that sells in two separate markets has the profit function where q1 and q2 sales in the two markets. Find the profit maximizing sales in each market, using the Hessian to check second-order conditions for a maximum. 2. Find the values of q1 and q2 that will maximizing the profit function and check that second-order conditions are met using the Hessian matrix.A business sells items according to the following Cost and Revenue functions: C(x)=10x+6100Cx=10x+6100 R(x)=−3.5x2+340xRx=-3.5x2+340x (a) Find the profit function: P(x)=Px= (b) How many items should be sold to break even? (Round to the nearest whole number. Enter your answer as a comma-separated list if necessary) (Enter the smaller number first) x=x= (c) What is the maximum profit for this business? (Round to two decimal places)A firm has revenue given by and its cost function is R(q)= 3409-3q 1-3q² C(q) = 600 + 10q. level of output? What profit does the firm earn at What is the profit-maximizing this output level? The firm maximizes profit by producing (Enter your response as a whole number.) Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Identify the point of diminishing returns for the input-output function. R is the revenue and x is the amount spent on advertising. Use a graphing utility to verify your results. R = − 4/9(x3 − 4x − 3), 0 ≤ x ≤ 4 (X,Y)=Find the optimal output to maximize profit given that revenue function is TR = 9000Q − 207q2 and the cost function is TC = 18q2.You are the manager of a bakery that produces and packages bran buns. According to the new research, a typical consumer's inverse demand function for your bran buns is P = 4-0.5Q . Your cost of producing bran buns is C (Q) = 1Q . a) Determine the optimal number of bran buns to sell in a single package and the optimum package price. Find profits you earn. b) Suppose your company sells buns charging per-unit price. Find the profit-maximizing price. c) Compare profits your company would earn using the strategy of one price (b) with profits generated in (a).