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(1 point) The profit function for a computer company is given by P(x) = -x2 +...
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...
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...
suppose your submarine company's profit function for this year is given by P(x,y)--x2 + 6x-y. 10y millions of dollars where x the number of red submarines produced, and y the number of blue submarines produced. Suppose further that your sales manager says you need to deliver a total of 10 submarines (any combination of red & blue), that is, x+y-10 this year. Determine your company's maximum profit subject to this constraint. Lastly, if this constraint is not required, recalculate the...
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 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?
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
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 (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 total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold? c. What is the profit when 43 units are produced...
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousands of items produced. (a) Use the graph to find the formula for the revenue R(x). (b) The profit is given by P(x) = – x2 + 15x² - 27x- 50. What is the formula for the cost function C(x)? (c) Report the fixed costs. (d) Report the minimum marginal cost. (e) What is the largest profit...