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у 1200- A firm has the marginal profit function below, where P(x) is the profit earned...
A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in dollars per ticket. This means that the rate of change of total profit with respect to the number of tickets sold, x, is P'(x). Find the total profit from the sale of the first 200 tickets, disregarding any fixed costs. P'(x) = 3x - 1140 The total profit is $ (Round to the nearest cent as needed.)
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...
For the following total profit function of a firm, where X and Y are two goods sold by the firm: Profit = 170X – 5X2 –XY -4Y2 +175Y -225 Do problem with a constraint of X + Y =30. To work problem 5 use the constraint equation to find an equation for X in terms of Y (X = 30 – Y) or an equation for Y in terms of X. Substitute the equation into the total profit equation at...
Solve the problem. Rejoyne Inc. has a marginal-profit function given by P'(x) = -2x + 140, where P'(x) is in dollars per unit. This means that the rate of change of total profit with respect to the number of units produced, x, is P'(x). Find the total profit from the production and sale of the first 30 units. O $110 O $6600 $3300 $80
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...
Find the marginal profit function if cost and revenue are given by C(x) = 255 +0.8x and R(x) = 7x -0.02x2. P'(x)=0
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
13. The marginal profit for the new X-99 pogo stick is P'(x) = -0.1x +60 where x is the number of sticks produced and sold. The profit is - $1000 when 50 sticks have been produce and sold. a) Find the profit function. b) What level of production of pogo sticks (x) produces a maximum profit? c) What is dollar value of the maximum profit?
Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value of P. x + y = 87 and P=xy is maximized a. Solve x + y = 87 for y. y = b. Substitute the result from part a into the equation P=x?y for the variable that is to be maximized. P=O c. Find the domain of the function P found in part b. (Simplify your answer. Type...
(a) Suppose that the function giving the marginal cost, in dollars per gallon, when x gallons oil are made is (eq. 1) and the fixed cost (giving the cost when no barrels of oil are made) is $80. Find a function that would give the total cost, C (x), in dollars when x gallons of oil are made in the form (eq. 2) What is the value for the coefficient ? (Hint: You may take the derivative of (eq. 2)...