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 + 51x – 198 Find the values of x for which the company makes a profit. (Hint: The company makes a profit when P(x) > 0.1 O A. x is between 6 thousand units and 11 thousand units OB. x is less than 11 thousand units O C. x is greater than 6 thousand units D. x is less than 6 thousand...
(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....
(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....
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...
If the total cost function for producing x lamps is C(x) = 3920 + 36x + 0.8x? dollars, producing how many units, x, will result in a minimum average cost per unit? X units Find the minimum average cost per unit. $
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...
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...
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...
Financial Mathematics Please answer question 4 and question 5 o)23:30 Oe Image Edit View Go Help En Question 4 The total cost of producing x units of a commodity per week is C(x) 200 +4x +0,1x2 (a) Find the marginal cost when the production level is 100 units. (b) Use the marginal cost to approximate the cost of producing the 101 st unit. (c) Find the exact cost of producing the 101 st unit. (d) Assuming that the commodity is...