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3. An owner of a key rings manufacturing company found that the profit earned (in thousands...
A small company of science writers found that its rate of profit (in thousands of dollars)...
A small company of science writers found that its rate of
profit (in thousands of dollars) after t years of operation is
given by the function below. a. Find the total profit in the first
three years. b. Find the profit in the fourth year of operation. c.
What is happening to the annual profit over the long run?
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation...
A small company of science writers found that its rate of profit (in thousands of dollars)...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below. 3 P'(t) = (5t + 5)(2+ + 2 +2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation. c. What is happening to the annual profit over the long run?
A small company of science writers found that its rate of profit (in thousands of dollars)...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below P'(t) = (6t+6)(?? +21+2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation c. What is happening to the annual profit over the long run? a. The profit in the first three years is $ (Round to the nearest dollar as needed.)
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,...
Page 3 of 16 2. Profit maximization for a manufacturing company: The production cost function for...
Page 3 of 16 2. Profit maximization for a manufacturing company: The production cost function for ABC Manufacturing Company is C(x) - 8000x + 200,000 (05XS 200) where x number of units produced. The revenue function, R(x), is: R(x) – 22,000x - 70x (a) Find the profit function, P(x) for this company. [10 points) P(x) = R(x)-[(x) 5 (22,000x - 70X?) - -8000x + 200,000 P(x)=-70 x?+14000 x -20900 PCx) = -70x2 + 1400U X - 700,000 (b) Determine the...
2) The function P(n) = -n3 + 6n2 + 81n + 130 gives the profit, in...
2) The function P(n) = -n3 + 6n2 + 81n + 130 gives the profit, in thousands of dollars and n represents the number of widgets sold in thousands. (a) (6 points) If the company is only capable of producing 15 thousand widgets, then what would be the appropriate viewing window to use to draw this graph? Record the horizontal span R ecord the vertical span Hint: use TBLSET with A=3 Show a sketch of the data table used to...
SHOW ALL YOUR WORK AND WRITE DOWN VERY NEATLY 2. The revenue R, in thousands of dollars, from producing and selling σ hundred LCD TVs is given by R(a)--5z? + 35a2 + 155z for 0 < π < 10.07 a. Us...
SHOW ALL YOUR WORK AND WRITE DOWN VERY NEATLY
2. The revenue R, in thousands of dollars, from producing and selling σ hundred LCD TVs is given by R(a)--5z? + 35a2 + 155z for 0 < π < 10.07 a. Use a graphing utility to graph y - R(r) and determine the number of TVs which should be sold to maximize revenue. What is the maximum revenue? Why does this amount produce maximum revenue? b. Assume that the cost, in...
у 1200- A firm has the marginal profit function below, where P(x) is the profit earned...
у 1200- A firm has the marginal profit function below, where P(x) is the profit earned at x dollars per unit. dP 9000 - 3000x dx (x2 - 6x+ (+10) 2 600- 0- LY 6 8 -600- The graph of this function is shown to the right. Find the total-profit function given that P = $1500 at x = $3. -1200- How can the total-profit function be found? A. Substitute the given value of P into the marginal-profit function and...
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...
6x² + c 60x A company has found that the marginal cost (in thousands of dollars)...
6x² + c 60x A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x) = where x is the number of units produced (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $19,000 to produce 5 units. Should they seek...
A small company of science writers found that its rate of
profit (in thousands of dollars) after t years of operation is
given by the function below. a. Find the total profit in the first
three years. b. Find the profit in the fourth year of operation. c.
What is happening to the annual profit over the long run?
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation...
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below. 3 P'(t) = (5t + 5)(2+ + 2 +2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation. c. What is happening to the annual profit over the long run?
A small company of science writers found that its rate of profit (in thousands of dollars) after t years of operation is given by the function below P'(t) = (6t+6)(?? +21+2) a. Find the total profit in the first three years. b. Find the profit in the fourth year of operation c. What is happening to the annual profit over the long run? a. The profit in the first three years is $ (Round to the nearest dollar as needed.)
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,...
Page 3 of 16 2. Profit maximization for a manufacturing company: The production cost function for ABC Manufacturing Company is C(x) - 8000x + 200,000 (05XS 200) where x number of units produced. The revenue function, R(x), is: R(x) – 22,000x - 70x (a) Find the profit function, P(x) for this company. [10 points) P(x) = R(x)-[(x) 5 (22,000x - 70X?) - -8000x + 200,000 P(x)=-70 x?+14000 x -20900 PCx) = -70x2 + 1400U X - 700,000 (b) Determine the...
2) The function P(n) = -n3 + 6n2 + 81n + 130 gives the profit, in thousands of dollars and n represents the number of widgets sold in thousands. (a) (6 points) If the company is only capable of producing 15 thousand widgets, then what would be the appropriate viewing window to use to draw this graph? Record the horizontal span R ecord the vertical span Hint: use TBLSET with A=3 Show a sketch of the data table used to...
SHOW ALL YOUR WORK AND WRITE DOWN VERY NEATLY
2. The revenue R, in thousands of dollars, from producing and selling σ hundred LCD TVs is given by R(a)--5z? + 35a2 + 155z for 0 < π < 10.07 a. Use a graphing utility to graph y - R(r) and determine the number of TVs which should be sold to maximize revenue. What is the maximum revenue? Why does this amount produce maximum revenue? b. Assume that the cost, in...
у 1200- A firm has the marginal profit function below, where P(x) is the profit earned at x dollars per unit. dP 9000 - 3000x dx (x2 - 6x+ (+10) 2 600- 0- LY 6 8 -600- The graph of this function is shown to the right. Find the total-profit function given that P = $1500 at x = $3. -1200- How can the total-profit function be found? A. Substitute the given value of P into the marginal-profit function and...
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...
6x² + c 60x A company has found that the marginal cost (in thousands of dollars) to produce x central air conditioning units is C'(x) = where x is the number of units produced (a) Find the cost function, given that the company incurs a fixed cost of $15,000 even if no units are built. (b) The company will seek a new source of investment income if the cost is more than $19,000 to produce 5 units. Should they seek...
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