Find the marginal profit function if cost and revenue are given by C(x) = 164 +0.2x...
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
Find the marginal average cost function if cost and revenue are given by C(x)=158+3.6x and R(x)=4x−0.03x2. The marginal average cost function is C′(x)= nothing. Find the marginal average cost function if cost and revenue are given by C(x) = 158 + 3.6x and R(x) = 4x – 0.03x2. The marginal average cost function is '(x) = D.
Find the marginal cost, marginal revenue, and marginal profit functions. HINT (See Example 2.] C(x) = 6x; R(x) = 9x -0.001x2 marginal cost marginal revenue marginal profit Find all values of x for which the marginal profit is zero. (Enter your answers as a comma-separated list.)
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousands of items produced. (a) Use the graph to find the formula for the revenue R(x). (b) The profit is given by P(x) = – x2 + 15x² - 27x- 50. What is the formula for the cost function C(x)? (c) Report the fixed costs. (d) Report the minimum marginal cost. (e) What is the largest profit...
The table shows the marginal cost C'(x), the marginal revenue R'(x) for producing x items. The third column, P'(x), is partially completed. All values are in dollars per item. (a) Complete the remaining entries in the third column. (b) What does the table tell you about the revenue function? (c) Find the production level that maximizes profit. P'(x) -21 O 43 NOT 64 10 43 43 40 16 43 70 43 43 90208143 43 - 165
Solve the problem. In economics, functions that involve revenue, cost and profit are used. Suppose R(x) and C(x) denote the total revenue and the total cost, respectively, of producing a new high-tech widget. The difference P(x) = R(x) - C(x) represents the total profit for producing x widgets. Given R(x) = 60x -0.4 x2 and C(x) = 3x + 13, find the equation for P(x). P(x) - 60x -0.4x2 P(x) = -0.4x2 +57x - 13 P(x) = -0.4x2 +63x +...
DETAILS HARMATHAPBR1 9.9.008. Cost, revenue, and profit are in dollars and x is the number of units. Suppose that the total revenue function for a product is R(x) = 55x and that the total cost function is c(X) - 1700 + 35x + 0.01x2. (a) Find the profit from the production and sale of 500 units. $ (b) Find the marginal profit function. (c) Find MP at x = 500. on the sale of the next (501st) unit. Explain what...
Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even. C(x) = 81x + 1750 R(x) = 106x
у 1200- A firm has the marginal profit function below, where P(x) is the profit earned at x dollars per unit. dP 9000 - 3000x dx (x2 - 6x+ (+10) 2 600- 0- LY 6 8 -600- The graph of this function is shown to the right. Find the total-profit function given that P = $1500 at x = $3. -1200- How can the total-profit function be found? A. Substitute the given value of P into the marginal-profit function and...
Given the cost function C(x) and the revenue function R(x), find the number of the units x that must be sold to break even. C(x)=1.4+4800 and R(x)=1.7x How many units must be produced and sold in order to break even?