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13. For the given cost and revenue functions, below, find the value of x for which...
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.)
The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of unitsR(x)=-0.8x2+608xC(x)=256x+36720(a) How many items must be sold to maximize the revenue?(b) What is the maximum revenue?(c) Find the profit function.(d) How many items must be sold to maximize the profit?(e) What is the maximum profit?(f) At what production level(s) will the company break even on this product?
6. Given the following function TR(R) 6000 -40 TCQ) 1000 +10,200 a. Find the revenue maximizing level of output (check 2d order conditions also), b. Find the maximum revenue c. Find the corresponding profit function d. Find the profit maximizing level of output (check 2nd order conditions also) e. Find the maximum profit 7. Given the following function TR(x)-3x260x TC(x) = 5,500 + 50x a. Find the revenue maximizing level of output check 2d order conditions also), b. Find the...
(1 point) The price-demand and cost functions for the production of microwaves are given as P=240- C(x) = 46000 + 40., is the number of microwaves that can be sold at a price of p dollars per unit and C where units. ) is the total cost (in dollars) of producing (A) Find the marginal cost as a function of C'(x) = (B) Find the revenue function in terms R(x) = (C) Find the marginal revenue function in terms of...
Find the equation of the tangent line to the curve when x has the given value. 7) f(x) = 4,x=5 8) f(x) = }x=3 11) Solve the problem. 11) The profit in dollars from the sale of thousand compact disc players is P(x) = x3 - 5x2 + 3x + 8. Find the marginal profit when the value of x is 6. 12) 12) Ir the price of a product is given by Px) E 1200, where x represents the...
The total-cost, C(x), and total revenue, R(x), functions for producing x items are shown below, where 0 SXS 800 C(x) = 5900 + 100x and R(x) = - + 600X a) Find the total-profit function P(x). b) Find the number of items, x, for which the total profit is a maximum a) P(x) = b) The profit is maximized for a production of units
3. The total cost and total revenue for a necklace are given by C(x) = 35x + 1650 R(2) = 852 (a) Find the marginal cost. (b) Find the marginal revenue. (c) Find the marginal profit. (d) How many necklaces must be sold to break even?
$ Given the revenue and cost functions R = 36% - 0.6x? and C - 6x + 9, where x is the daily production, find the rate of change of profit with respect to time when 20 units are produced and the rate of change of production is 6 units per day O A $156 per day OB. $72 per day OC. $172.8 per day OD. $36 per day
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 +...
Suppose you are given the revenue and cost functions from the production of a certain commodity. If the marginal revenue function is negative at x = a, and the marginal cost function is positive at x = a, then the marginal profit function at x = a would be: A) Positive B) Negative C) 0