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The cost, in thousands of dollars, of airing x television commercials during a sports event is...
The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,400x -0.01x? (a) Find the marginal cost function CX). HINT [See Example 1.) CTX) Use it to determine how fast the cost is increasing when x = 4 thousand dollars Compare this with the exact cost of airing the fifth commercial The cost is going up at the rate of 5 per television commercial, The exact cost of...
Can someone please explain to me why my incorrect answers are incorrect, and show me how to solve them? 3. [0.24/0.5 Points] DETAILS PREVIOUS ANSWERS WANEAC6 4.2.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHE The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,400x -0.04x2. (a) Find the marginal cost function C'(x). HINT (See Example 1.] C'(x) = -0.08x + 2400 Use it to determine how fast...
The annual cost (in thousands of dollars) of manufacturing x thousand sets of wrieless earbuds is given by C(x) = 0.001x3 + 3x + 128. Complete the following: (a) Find the average cost function and give its domain. (b) How many thousands of sets of earbuds should be made to minimize the average cost?
Find the total cost function Code) (in thousands of dollars) if the marginal cost in thousands of dollars per unit) at a production level of units is c')= 0X54) and food costs are $10.000 (0)=10) Which of the following explains how to find the total cost function if the marginal costat a production level of units is c )? To find the total cost function, evaluate the indefinite integral of the marginal cost and apply the initial conditions (0) 10)....
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...
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...
12. -1 M points TanApCalcBr10 4.4.050. The weekly demand for the Pulsar 40-in. high-definition television is given by the demand equation p =-0.03x + 545 (0 12,000) x where ρ denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated with manufacturing these sets is given by C(x) 0.000004x3 -0.04x2 400x 80,000 where C(x) denotes the total cost incurred in producing x sets. Find the level of production that will yield...
(a) The total cost, in millions of dollars, of producing x thousand units of an item is C(x) = 4(x - 5)2 + 4. Plot at least 2 points on the function C(x) with x on the horizontal axis. Then click Connect Points. Plot the vertex and 2 additional points. Vertex Point Connect Points Delete Reset Vertex 2 9.3, 20.9 (b) The revenue (in millions of dollars) from selling x thousand units of the item is R (X) = 5x....
The following function is a company's price function, where p is the price in dollars) at which quantity X (in thousands) will be sold. p=500e-0.2x (a) Find the revenue function R(x). (Hint: Revenue is price times quantity, p.x.] R(x) = X (b) Find the quantity and price that will maximize revenue. (Round your answers to two decimal places.) thousand units X P = $ Need Help? Read It Watch It Talk to a Tutor Submit Answer 2. [-12 Points] DETAILS...
Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. Consider the graph of the function y = f(x) given in the figure. (a) Over what interval(s) (a) through (d) is the rate of change of f(x) positive? (Select all that apply.) OOOO (b) Over what interval(s) (a) through (d) is...