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 for a product can be described by the function p(x)=-0.4x^2+280-24000, where ex is the...
A commodity has a demand function modeled by p = 280 − 0.4x, and a total cost function modeled by C = 80x + 120, where x is the number of units. (a) What price yields a maximum profit? (b) Find the average cost per unit when x = 50 and x = 650. (c) Determine when the demand is elastic, inelastic, and of unit elasticity. (d) Use differentials to approximate the change in revenue as sales increase from 210...
The profit from the production and sale of specialty golf hats is given by the function P(x) 20x - 2000 where x is the number of hats produced and sold. (a) Producing and selling how many units will give a profit of $6000? (b) How many units must be produced and sold to avoid a loss? (a) Producing and sellingunits will give a profit of $6000 (b) To avoid a loss, units must be produced and sold.
(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 total revenue function for a certain product is given by The total revenue function for a certain product is given by R=630x dollars, and the total cost function for this product is C = 10,000+ 30x + x2 dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit. a. P(x)= (Simplify your...
the profit obtained by manufacturing and selling x item is given by P (x) = 60x - x ^ 2. Determine the number of units that must be produced and sold in order to maximize 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...
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...
The total revenue function for a certain product is given by Requals=440440x dollars, and the total cost function for this product is Cequals=20 comma 00020,000plus+4040xplus+x squaredx2 dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit.
The profit for a product is given by P(x)equals=negative 11 x squared plus 1320 x minus 38 comma 500−11x2+1320x−38,500, where x is the number of units produced and sold. How many units give break even (that is, give zero profit) for this product?
6. The profit function of a firm is (x,y) = px +qy-ar? - By?, where p and q are the prices per unit and ar? + By are the costs of producing and selling x units of the first good and y units of the other. The constants are all positive. (a) Find the values of x and y that maximize profits. Denote them by x* and y'. Verify that the second-order conditions are satisfied. (1) Define (p, q) =...