Maximizing Profits Odyssey Travel Agency's monthly profit (in thousands of dollars) depends on the amount of...
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...
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
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,...
Maximizing Profits The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata, produced by Phonola Media, is related to the price per compact disc. The equation p = -0.00035x + 7 (0 SX s 12,000) where p denotes the unit price in dollars and x is the number of discs demanded, relates the demand to the price. The total monthly cost (in dollars) for pressing and packaging x copies of this classical recording is given by...
2. Wonder widgets Inc. projects that their monthly profit (in thousands) for producing widgets is given by P(x)-01x + 6x - 500. (a) How many widgets should they produce each month to maximize profit? (b) For this production, what is their monthly profit?
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...
Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit (in dollars) realized from renting out x apartments is given by the following function. P(x) = -11.r2 + 2002. – 40,000 To maximize the monthly rental profit, how many units should be rented out? units What is the maximum monthly profit realizable? 2
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...
Dollars per sack (thousands) $380 -Deum 204 261 ATC AVC 258 0 2 4 6 8 10 12 14 16 18 20 22 24 26 Quantity of coffee (sacks of 60 kilos) a. The figure describes the cost and revenue structure of a perfectly competitive coffee farm, on a per-unit basis. What is the profit maximizing number of sacks when the price of coffe mizing number of sacks when the price of coffee in the market is $380 dollars? b....
A large corporation is interested in whether advertising on TV has had an effect on sales of their products. Data have been collected in ?=20n=20 different markets on the spend on TV advertising (?x, measured in thousands of dollars) and product sales (?y, measured in thousands of units). The following are useful summaries of the data: A large corporation is interested in whether advertising on TV has had an effect on sales of their product: Data have been collected in...