For a certain product, cost C and revenue R are given as follows, where x is...
The revenue (in thousands of dollars) from producing x units of an item is modeled by R(x) = 10x -0.005% a. Find the average rate of change in revenue as x changes from 1003 to 1007 b. Find the marginal revenue at x=600. a. The average rate of change in revenue is dollars per unit. (Do not round until the final answer. Then round to the nearest dollar as needed.) b. The marginal revenue is dollars per unit. (Do not...
36. Revenue Suppose that the revenue function for a certain product is given by R(x) = 15(2x + 1)-1 + 30x – 15 where x is in thousands of units and R is in thousands of dollars. (a) Find the marginal revenue when 2000 units are sold. (b) How is revenue changing when 2000 units are sold?
The revenue equation (in hunderds of millions of dollars) for barley production in a certain country is approximated by R(x)=0.0632x2 + 1.2443x + 2.2473 where x is in hundreds of millions of bushels. Find the marginal-revenue equation and use it to find the marginal revenue for the production of the given number of bushels. (a) The marginal-revenue equation is R′(x)= -------------------------. (Round to four decimal places as needed.) (b) Find the marginal revenue for the production of 200,000,000 bushels.The marginal...
The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even. R(x) = 200x - 2x2 ; C(x) = - x2 + 5x + 8450 ; 0 ≤ x ≤100 The manufacturer must produce --------------- units to break even.
The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even. R(x)=200x- x2, C(x)=20x+6500, 0 less than or equals X less than or equals 100.The manufacturer must produce ---- units to break even.
A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the tth day. The company's marginal cost per day is given by C' (t), where C(t) is the total accumulated cost, in dollars, on the th day. R' (t) = 140 e'. R(O)=0; C' (t) = 140 -0.75, C(O) = 0 a) Find the total profit P(T) from t=0 to t= 10 (the first 10 days). P(T)...
The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even Rx)200x-x2 C)5x+8750:0sxs100 The manufacturer must produce units to break even.
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function. win R'(x) = 4x(x2 + 28,000) a. Find the total revenue function if the revenue from 120 gadgets is $19,222. b. How many gadgets must be sold for a revenue of at least $35,000? a. The total revenue function is R(x) = given that the revenue from 120 gadgets is $19,222. (Round to the nearest integer as needed.) b. How many...
4x-5 2x+3 Find the average cost for each of the following production levels. The total cost (in hundreds of dollars) to produce x units of a product is C(x) a. 10 units b. x units c. Find the marginal average cost function. The average cost for 10 units is $ per unit. (Round to the nearest hundredth as needed.) The average cost for x units is hundred dollars per unit. The marginal average cost function is c'x)=
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.