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 dollars a) determine the max profit the company can make b)Determine the amount spent on adver
please answer ALL questions. thank you. 17. The profit, P, of a video company, in thousands of dollars, is given by P=-57 +550x-5000, where x is the amount spent on advertising, in thousands of dollars Determine the amount spent on advertising that will result in a profit of $0. In other words, determine the amount that must be spent on advertising in order for the company to break even Describe the relationship between your solution and this graph of the...
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...
Let R(x) represent revenue, in thousands of dollars, and x represent the amount spent on advertising, in thousands of dollars. Find the following for R(x) = -x +36x² + 1000, O SXS 17. (a) Find R''(x). (b) Find the point of diminishing returns. (a) R''(x) = Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in thousands of dollars) and x represents the amount spent on advertising in thousands of dollars). R(x) = 10,000...
(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 relationship between Northwood Realty's quarterly profit, P(x), and the amount of money x spent on advertising per quarter is described by the function P(x) =- - 1x2 + 12x + 30 (OS X S 50) where both P(x) and x are measured in thousands of dollars. (a) Sketch the graph of P. P P 1000) 1000 800 800 600 600 400 400 200 200 10 20 30 40 50 10 20 30 10 50 Р 1000 1000 800 800...
A one-product company finds that its profit, P, in millions of dollars, is given by the following equation where a is the amount spent on advertising, in millions of dollars, and p is the price charged per item of the product, in dollars. P(a.p)= 2ap + 80p – 15p? - Hoa?p-120 Find the maximum value of P and the values of a and p at which it is attained. The maximum value of P is attained when a is $1...
the profit for a product can be described by the function p(x)=-0.4x^2+280-24000, where ex is the number of units produced and sold. (a) to maximize profit, how many units must be produced and sold? (b) What it the maximum possible profit? (c) Producing and selling how many units will result in a profit of at least $9000?
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...
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)A firms profit from selling a particular item is given by the profit function p(x)=27.56x-142. If this same firm has a total cost function given by TC(x)=14.97x+142, then what is the selling price of the item in question? Your solution should be to 2 decimal places. 2) Cyclepath has a new giant cypress dx for a list price of $407.57. They want to make a profit of 16% on the selling price and overhead is 15% of the cost. They...