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34. The profits in thousands of dollars of a computer video board manufacturer are given by...
Suppose the rate of change of the unit price p of video boards is p'(x) =...
Suppose the rate of change of the unit price p of video boards is p'(x) = -- 2400x (x2 +55)3/2 where x is the number of hundreds of video boards that the supplier will make available to the market daily and p is in dollars. Find the supply equation p(x) for the video boards if the quantity the supplier is willing to make available is 300 video boards when the unit price is 360 dollars. 2400 + 60 x2 +55...
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by...
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...
Solve the problem. The owner of a video store has determined that the profits P of...
Solve the problem. The owner of a video store has determined that the profits P of the store are approximately given by P(x) = -x2 + 60x + 59, where x is the number of videos rented daily. Find the maximum profit to the nearest dollar. O $30 O $1859 O S900 O S1800 O S959
Please explain (1 point) The number x of stereo speakers a retail chain is willing to sell per week at a price of p dollars is given by x- 81 vp + 20-350 Find the supply and instantaneous rate of cha...
Please explain
(1 point) The number x of stereo speakers a retail chain is willing to sell per week at a price of p dollars is given by x- 81 vp + 20-350 Find the supply and instantaneous rate of change of supply when the price is 75 dollars. Supply Instantaneous rate of change of supply - stereo speakers speakers per dollar
(1 point) The number x of stereo speakers a retail chain is willing to sell per week at...
(1 point) The profit function for a computer company is given by P(x) = -x2 +...
(1 point) The profit function for a computer company is given by P(x) = -x2 + 31x – 22 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand....
Suppose that the revenue R, in dollars, from selling x cell phones, in hundreds, is R(x)...
Suppose that the revenue R, in dollars, from selling x cell phones, in hundreds, is R(x) = -1.3x2 + 320x. The cost C, in dollars, from selling x cell phones, in hundreds, is C(x) = 0.03x3 - 3x2 + 75x + 550. (a) Find the profit function, P(x) = R(x)-C(x). (b) Find the profit if x = 21 hundred cell phones are sold. (c) Interpret P(21). (a) P(x)= (Use integers or decimals for any numbers in the expression.) (b) P(21)=$...
The 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,...
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 weekly demand for Xbox Math-Hero video games is given by p = x3 − 140x...
The weekly demand for Xbox Math-Hero video games is given by p = x3 − 140x + 650 where x is the number of Xbox video games produced and sold, and p is in dollars. Using the Marginal Revenue function, R'(x), approximate the marginal revenue when 10 Math-Hero video games have been produced and sold.
1. What is the general rule to find a relatiie extrema, or in other words, to...
1. What is the general rule to find a relatiie extrema, or in other words, to find a relative maximmum or minmum 2. Based on data from 1980 to 2000, the median sales price of a new one-family home in the southem United States may be modeled by P(t)0.0506t2 3.515t 58.49 where P(t) is in thousands of dollars and t is the number of years since 1980 a. Find and interpret (in your own words) the meaning of P(5) b....
Suppose the rate of change of the unit price p of video boards is p'(x) = -- 2400x (x2 +55)3/2 where x is the number of hundreds of video boards that the supplier will make available to the market daily and p is in dollars. Find the supply equation p(x) for the video boards if the quantity the supplier is willing to make available is 300 video boards when the unit price is 360 dollars. 2400 + 60 x2 +55...
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...
Solve the problem. The owner of a video store has determined that the profits P of the store are approximately given by P(x) = -x2 + 60x + 59, where x is the number of videos rented daily. Find the maximum profit to the nearest dollar. O $30 O $1859 O S900 O S1800 O S959
Please explain
(1 point) The number x of stereo speakers a retail chain is willing to sell per week at a price of p dollars is given by x- 81 vp + 20-350 Find the supply and instantaneous rate of change of supply when the price is 75 dollars. Supply Instantaneous rate of change of supply - stereo speakers speakers per dollar
(1 point) The number x of stereo speakers a retail chain is willing to sell per week at...
(1 point) The profit function for a computer company is given by P(x) = -x2 + 31x – 22 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand....
Suppose that the revenue R, in dollars, from selling x cell phones, in hundreds, is R(x) = -1.3x2 + 320x. The cost C, in dollars, from selling x cell phones, in hundreds, is C(x) = 0.03x3 - 3x2 + 75x + 550. (a) Find the profit function, P(x) = R(x)-C(x). (b) Find the profit if x = 21 hundred cell phones are sold. (c) Interpret P(21). (a) P(x)= (Use integers or decimals for any numbers in the expression.) (b) P(21)=$...
The 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,...
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...
1. What is the general rule to find a relatiie extrema, or in other words, to find a relative maximmum or minmum 2. Based on data from 1980 to 2000, the median sales price of a new one-family home in the southem United States may be modeled by P(t)0.0506t2 3.515t 58.49 where P(t) is in thousands of dollars and t is the number of years since 1980 a. Find and interpret (in your own words) the meaning of P(5) b....
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