A company estimates that the revenue in dollars from the sale of x items is given...
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 $19,222. (Round to the nearest integer as needed.) b. How many...
Suppose that the revenue R, in dollars, from selling x cell phones, in hundreds, is R(x) = -1.3x2 + 320x. The cost C, in dollars, from selling x cell phones, in hundreds, is C(x) = 0.03x3 - 3x2 + 75x + 550. (a) Find the profit function, P(x) = R(x)-C(x). (b) Find the profit if x = 21 hundred cell phones are sold. (c) Interpret P(21). (a) P(x)= (Use integers or decimals for any numbers in the expression.) (b) P(21)=$...
The revenue in dollars generated from a sale of x picnic tables is given by R(x)=26x -x2/500 Answer parts (a) through (d). (a) Find the marginal revenue when 2000 tables are sold. (b) Estimate the revenue from the sale of the 2001st table by finding R'(2000). (c) Determine the actual revenue from the sale of the 2001st table. (d) Compare your answers for parts (b) and (c). What do you find?
please show step 6. An aircraft company estimates its marginal revenue function for helicopters to be MR(x) = (x + 40)Vr2 + 80x thousand dollars where x is the number of helicopters sold. Find the total revenue from the sale of the first 10 helicopters. 6. An aircraft company estimates its marginal revenue function for helicopters to be MR(x) = (x + 40)Vr2 + 80x thousand dollars where x is the number of helicopters sold. Find the total revenue from...
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x)equals0.007 x cubed plus 0.02 x squared plus 0.5 x. Currently, Pierce sells 50 lawn chairs daily. a) What is the current daily revenue? b) How much would revenue increase if 53 lawn chairs were sold each day? c) What is the marginal revenue when 50 lawn chairs are sold daily? d) Use the answer from part (c) to estimate R(51), R(52), and...
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs is R(x)=0.003x2 +0.04x² +0.7x. Currently, Pierce sells 80 lawn chairs daily. a) What is the current daily revenue? b) How much would revenue increase if 85 lawn chairs were sold each day? c) What is the marginal revenue when 80 lawn chairs are sold daily? d) Use the answer from part (c) to estimate R(81), R(82), and R(83). a) The current revenue 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...
The marginal revenue from the sale of x bottles of lotion is given by 5.9 -0.31 x dollars per bottle. Find the increase in total revenue if the number of bottles sold is increased from 79 to 109. Round your answer to the nearest cent.
Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the production and sale of x items. If R(x) = 5x and C(x) = 0.004x2 + 1.1x + 70, find each of the following. a) P(x) b) R(100), C(100), and P(100) c) R'(x), C'(x), and P'(x) d) R' (100), C'(100), and P'(100) a) P(x) = (Use integers or decimals for any numbers in the expression.) b) R(100) = $ (Type an integer or a decimal.)...
5.r- The table below shows the profit, P(x)P(x), in dollars, from selling xx items. xx 1 2 3 6 9 14 P(x)P(x) 81.4 93 94.8 41.4 -100.2 -532.2 Using your calculator to do a quadratic regression, express the profit as a function of the number of items sold. Round all numbers to 1 decimal place. Using your quadratic regression, estimate the profit from selling 11 items? Select an answer items dollars Round to 2 decimal places. Using your quadratic regression, estimate...