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The total profit function P(x) for a company producing x thousand units is given by P(x)=...
The total profit function P(x) for a company producing x thousand units is given by P(x)...
The total profit function P(x) for a company producing x thousand units is given by P(x) = - 3x² + 36x - 81 Find the values of x for which the company makes a profit. (Hint: The company makes a profit when P(x) > 0.] O A. x is between 3 thousand units and 9 thousand units O B. x is less than 3 thousand units or greater than 9 thousand units C. x is less than 9 thousand units...
(a) The total cost, in millions of dollars, of producing x thousand units of an item...
(a) The total cost, in millions of dollars, of producing x thousand units of an item is C(x) = 4(x - 5)2 + 4. Plot at least 2 points on the function C(x) with x on the horizontal axis. Then click Connect Points. Plot the vertex and 2 additional points. Vertex Point Connect Points Delete Reset Vertex 2 9.3, 20.9 (b) The revenue (in millions of dollars) from selling x thousand units of the item is R (X) = 5x....
(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....
The profit P (in dollars) from selling x units of a product is given by the function below. P 35,000+2077 x 8x2 15...
The profit P (in dollars) from selling x units of a product is given by the function below. P 35,000+2077 x 8x2 150 x s 275 Find the marginal profit for each of the following sales. (Round your answers to two decimal places.) (a) = 150 P(150) $ (b) x 175 P(175)$ (c) X-200 P(200) $ (d) X 225 P(225) $ (e) x250 P(250) $ (f x275 P(275) $ Need Help? Read It Watch It Talk to a Tutor The...
1) Please write clearly. A company determines that its total profit is given by the function...
1) Please write clearly.
A company determines that its total profit is given by the function P(x) = - 2x² + 378x - 3240. The company makes a profit for those nonnegative values of x for which P(x) > 0. The company loses money for those nonnegative values of x for which P(x) <0. Find the values of x for which the company makes a profit and loses money. The company makes a profit on the interval (Type your answer...
5. Suppose that a firm's total profit function is P(x,y) = 2xy + 2y+12-(2x2 +y2), where...
5. Suppose that a firm's total profit function is P(x,y) = 2xy + 2y+12-(2x2 +y2), where x is amount of production and sales of the first product and y - of the second produc 1) Find all first and second order partial derivatives. 2) Find values of x and y that maximize the profit. Find the maximum profit. 6. Ifx thousand euros is spend on labor and y thousand euros is spend on equipment, the outpu certain factory will be...
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...
4) The profit that a company earns in dollars is given by the function P(q) =...
4) The profit that a company earns in dollars is given by the function P(q) = -2q2 + 100q - 300 where q is the number of items that the company sells IN THOUSDANDS. Suppose that this company is ONLY capable of producing and selling 10 thousand items or fewer. (a) (4 points) Based on this mathematical model, what are the number of items this company needs to sell in order to break even? ROUND YOUR VALUE to the second...
6. The profit function of a firm is (x,y) = px +qy-ar? - By?, where p...
6. The profit function of a firm is (x,y) = px +qy-ar? - By?, where p and q are the prices per unit and ar? + By are the costs of producing and selling x units of the first good and y units of the other. The constants are all positive. (a) Find the values of x and y that maximize profits. Denote them by x* and y'. Verify that the second-order conditions are satisfied. (1) Define (p, q) =...
A company manufactures two products. The price function for product A is p = 19 − 1 2 x (for 0 ≤ x ≤ 38), and fo...
A company manufactures two
products. The price function for product A is
p = 19 −
1
2
x
(for 0 ≤ x ≤ 38),
and for product B is
q = 33 − y
(for 0 ≤ y ≤ 33),
both in thousands of dollars, where x and y
are the amounts of products A and B, respectively. If the cost
function is
C(x, y) = 11x + 17y − xy + 7
thousands of dollars, find the quantities...
The total profit function P(x) for a company producing x thousand units is given by P(x) = - 3x² + 36x - 81 Find the values of x for which the company makes a profit. (Hint: The company makes a profit when P(x) > 0.] O A. x is between 3 thousand units and 9 thousand units O B. x is less than 3 thousand units or greater than 9 thousand units C. x is less than 9 thousand units...
(a) The total cost, in millions of dollars, of producing x thousand units of an item is C(x) = 4(x - 5)2 + 4. Plot at least 2 points on the function C(x) with x on the horizontal axis. Then click Connect Points. Plot the vertex and 2 additional points. Vertex Point Connect Points Delete Reset Vertex 2 9.3, 20.9 (b) The revenue (in millions of dollars) from selling x thousand units of the item is R (X) = 5x....
(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....
The profit P (in dollars) from selling x units of a product is given by the function below. P 35,000+2077 x 8x2 150 x s 275 Find the marginal profit for each of the following sales. (Round your answers to two decimal places.) (a) = 150 P(150) $ (b) x 175 P(175)$ (c) X-200 P(200) $ (d) X 225 P(225) $ (e) x250 P(250) $ (f x275 P(275) $ Need Help? Read It Watch It Talk to a Tutor The...
1) Please write clearly.
A company determines that its total profit is given by the function P(x) = - 2x² + 378x - 3240. The company makes a profit for those nonnegative values of x for which P(x) > 0. The company loses money for those nonnegative values of x for which P(x) <0. Find the values of x for which the company makes a profit and loses money. The company makes a profit on the interval (Type your answer...
5. Suppose that a firm's total profit function is P(x,y) = 2xy + 2y+12-(2x2 +y2), where x is amount of production and sales of the first product and y - of the second produc 1) Find all first and second order partial derivatives. 2) Find values of x and y that maximize the profit. Find the maximum profit. 6. Ifx thousand euros is spend on labor and y thousand euros is spend on equipment, the outpu certain factory will be...
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...
4) The profit that a company earns in dollars is given by the function P(q) = -2q2 + 100q - 300 where q is the number of items that the company sells IN THOUSDANDS. Suppose that this company is ONLY capable of producing and selling 10 thousand items or fewer. (a) (4 points) Based on this mathematical model, what are the number of items this company needs to sell in order to break even? ROUND YOUR VALUE to the second...
6. The profit function of a firm is (x,y) = px +qy-ar? - By?, where p and q are the prices per unit and ar? + By are the costs of producing and selling x units of the first good and y units of the other. The constants are all positive. (a) Find the values of x and y that maximize profits. Denote them by x* and y'. Verify that the second-order conditions are satisfied. (1) Define (p, q) =...
A company manufactures two
products. The price function for product A is
p = 19 −
1
2
x
(for 0 ≤ x ≤ 38),
and for product B is
q = 33 − y
(for 0 ≤ y ≤ 33),
both in thousands of dollars, where x and y
are the amounts of products A and B, respectively. If the cost
function is
C(x, y) = 11x + 17y − xy + 7
thousands of dollars, find the quantities...
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