What is the maximum profit from employing t=thousand people, profit P=millions of dollar where P(t)= 1/5 ln (5x+1)+3x-x^2 how many workers should be used to max profit?
If can please explain your answer was confused what to do with the fraction.
What is the maximum profit from employing t=thousand people, profit P=millions of dollar where P(t)= 1/5...
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...
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,...
(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 one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
The profit p(x) of a cosmetics company , in thousands of dollars,is given by p(x)=-5x^2+400x-2550, where x is the amount spent on advertising , in thousands of dollarsa) determine the max profit the company can makeb)Determine the amount spent on advertising that will result in the max profitc)What amount must be spent on advertising to obtain a profit of at least $4 000 000
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...
Let T:P R^2 be defined by T(p(x)) = (p(1),p(-1)). (a) Find T(p(x)) where p(x) = 2 + 5x. (b) Show that T is a linear transformation. (C) Find the kernel of T. Explain why T is one-to-one. (d) Find the range of T. Explain why I' is onto. (e) Find T-1(3,7)
i need 13,14 and 15 please The table shows the population P (in millions) of the United States from 1800 to 1870 where t represents the number of years since 1800. Source: U.S. Bureau of the Census 5.3 10 7.2 9.6 30 129 40 17.0 50 23.2 60 31.4 70 39.8 12. Use a graphing calculator to find an exponential growth model and a logistic growth model for the data. Then graph both models. 13. Use the models from part...
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...
Problem 1: An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (measured in dollars) it charges per ice cream cone is given by the function k, defined by kx)-125x2 +670x 125 where P k(x). a) Determine the maximum weekly profit and the price of an ice cream cone that produces that maximum profit b) The cost of the ice cream cone is too low then the ice cream shop...