revenue function R(x) = X. (X)
= X . 2x11/4.
x21/4
= 2x15/4.x25/4
cost function C(x) = x(variable cost) + (fixed cost)
= x(w1) + ( w2+p)
= x(4+2) +(18+20)
= 6x + 38
profit function P(x) = R(x) - C(x)
= 2x15/4.x25/4 - 6x +
38
Given f(x)=2x1/4x2/4, calculate the revenue function, the profit function, (WyWyp) (2,18,20), (wi W2.p) (4,18,20), and plot...
4) A company's Cost function is: C=8x2-50x +103, Revenue function is: R=4x2+3. (Profit=R-C) Find the Profit equation: a. b. Find the break-even points: ( _) U c. Find the Profit intercept: (_ d. Find the max profit (Vertex): ( e. Sketch a Graph f. Domain: g. Range: h. Find the intercepts if the company wants a Profit of $200. L.), 8) Cost = x2+2x+1, Revenue = -5x2+6x-10 Profit 9) Cost = 7x2–7x+7, Revenue = 4x2+7x+7 Profit 10) Solve the Quadratic...
3. A firm's production function is given by y z1214. Input prices are wi and w2 Input 2 is fixed at 256. a) Derive the firm's variable cost function. b) Ifw1 8 and w2 5, what is the least cost of producing 40 units of output? c) At these prices and output, what is the marginal cost?
7) (15 pts) Given f(x) 4x2+x 6-3x4 calculate f'(x).
Find the marginal profit function if cost and revenue are given by C(x) = 164 +0.2x and R(x) = 3x -0.06x². P'(x) =
Find the marginal profit function if cost and revenue are given by C(x) = 255 +0.8x and R(x) = 7x -0.02x2. P'(x)=0
Write a MATLAB script to plot the function of f(x) given by: Write a MATLAB script to plot the function of f(x) given by: f(x) = integral x^2 - pi^2/4 x > pi/2 8 * cos x -pi/2 lessthanorequalto x lessthanorequalto pi/2 pi^2/4 - x^2 x < -pi/2
1. Consider the production function f(x1, x2) = 4x 11/2 x 21/3 . What is the returns to scale? Show your work. 2. What is the TRS for the above production function? 3. What is the optimal level of output that maximizes profit given the output and input prices respectively as p, w1, w2?
3. Write a code to find 3 roots of the function f(x) 2r3-4x2 -22x +24 for the interval I-5, 5] considering the following methods a) Bisection Method b) Newton's Method Hint: Plot a graph of f(x) and determine proper intervals and initial guesses for a) and b), respectively. 3. Write a code to find 3 roots of the function f(x) 2x3-4x2 -22x +24 for the interval [-5, 5] considering the following methods a) Bisection Method b) Newton's Method Hint: Plot...
(B)and(C) In each part below a function p and a function f are given. Treat p as a parent function and identify the horizontal graph transformation(s) which take the graph of y = p(x) to the graph of y = f(x). (A.) p(x) = (x and f(x) = (x+1 (B.) p(x) = (x and f(x) = 2x (c.) p(x) = x2 and f(x) = (x + 3)2 (n.) p(x) = x2 and f(x) = 4x2 – 16x + 16 (E.)...
3. Write a code to find 3 roots of the function f(x)-2x3-4x2-22x+24 for the interval -5, 5] considering the following methods a) Bisection Method b) Newton's Method Hint: Plot agraph of f(x) and determine proper intervals and initial guesses for a) and b), respectively 3. Write a code to find 3 roots of the function f(x)-2x3-4x2-22x+24 for the interval -5, 5] considering the following methods a) Bisection Method b) Newton's Method Hint: Plot agraph of f(x) and determine proper intervals...