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The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by...
A company estimates that the revenue in dollars from the sale of x items is given...
A company estimates that the revenue in dollars from the sale of x items is given by R(x)=3x2-4x+18. Use the differential to approximate the change in revenue from the sale of one more item when 6 items are sold. Round your answer to two decimal places.
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).
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?
The profit, in thousands of dollars, from the sale of thousand candles can be estimated by...
The profit, in thousands of dollars, from the sale of thousand candles can be estimated by P(x) = 3x -0.5x Inx. Complete parts (a) through (c). a) Find the marginal profit, p'(x) P'(x)=0 b) Find P'(77), and explain what this number represents P'(I)- (Type an integer or decimal rounded to the nearest thousandth as needed) What does P'(77) represent? O A The additional profit, in thousands of dollars, when 77,000 candles are sold OB. The additional profilin thousands of dollars,...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...
The marginal revenue from the sale of x bottles of lotion is given by 5.9 -0.31...
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.
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are...
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 total revenue function for a product is given by R=655x dollars, and the total cost...
The total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold? c. What is the profit when 43 units are produced...
Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs...
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...
36. Revenue Suppose that the revenue function for a certain product is given by R(x) =...
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?
A company estimates that the revenue in dollars from the sale of x items is given by R(x)=3x2-4x+18. Use the differential to approximate the change in revenue from the sale of one more item when 6 items are sold. Round your answer to two decimal places.
The profit, in thousands of dollars, from the sale of thousand candles can be estimated by P(x) = 3x -0.5x Inx. Complete parts (a) through (c). a) Find the marginal profit, p'(x) P'(x)=0 b) Find P'(77), and explain what this number represents P'(I)- (Type an integer or decimal rounded to the nearest thousandth as needed) What does P'(77) represent? O A The additional profit, in thousands of dollars, when 77,000 candles are sold OB. The additional profilin thousands of dollars,...
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. =X (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is...
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.
41. Revenue and Marginal Revenue Let R(x) denote the revenue (in thousands of dollars) generated from the production of x units of computer chips per day, where each unit consists of 100 chips. (a) Represent the following statement by equations involving R or R': When 1200 chips are produced per day, the rev- enue is $22,000 and the marginal revenue is $.75 per chip. (b) If the marginal cost of producing 1200 chips is $1.5 per chip, what is the...
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...
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...
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?
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