The annual cost (in thousands of dollars) of manufacturing x thousand sets of wrieless earbuds is...
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?
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The annual cost (in thousands of dollars) of manufacturing x
thousand sets of wrieless earbuds is...
The profit, in thousands of dollars, from the sale of thousand candles can be estimated by...
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,...
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...
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 + 2,100x -0.01x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = 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 $ per television commercial. The exact cost...
A manufacturing company produces two models of an HDTV per week, x units of model A...
A manufacturing company produces two models of an HDTV per week, x units of model A and y units of model B with a cost (in dollars) given by the following function. C(x,y)= 3x² + 6y2 If it is necessary (because of shipping considerations) that x + y = 180, how many of each type of set should be manufactured per week to minimize cost? What is the minimum cost?
b. Convert log, 9 = to exponential form. 7x 100 - thousand dollars. thousand com 25....
b. Convert log, 9 = to exponential form. 7x 100 - thousand dollars. thousand com 25. The cost to remove x percent of a pollutant is given by y = Find the cost of removing: a. 50% of the pollutant b. 80% of the pollutant C. 90% of the pollutant d. 95% of the pollutant e. 99% of the pollutant f. Can all of the pollutant be removed? Explain how you know. (HINT: Think about the domain of the function.)
Question 3 13 pts Given the following cost function where x is thousands of units produced...
Question 3 13 pts Given the following cost function where x is thousands of units produced C(x) = 20x3 – 180x² + 480x – 250 a) Find any Intervals where the cost is increasing or decreasing. (label which interval is which) b) How many units should be produced to minimize the cost? c) Find the minimum cost.
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by...
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function. win R'(x) = 4x(x2 + 28,000) a. Find the total revenue function if the revenue from 120 gadgets is $19,222. b. How many gadgets must be sold for a revenue of at least $35,000? a. The total revenue function is R(x) = given that the revenue from 120 gadgets is $19,222. (Round to the nearest integer as needed.) b. How many...
Find the total cost function Code) (in thousands of dollars) if the marginal cost in thousands...
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)....
Question 2.(10 points): The cost (in thousands of dollars) for building a new apartment was estimated...
Question 2.(10 points): The cost (in thousands of dollars) for building a new apartment was estimated to be C(x) -1,575 + 185x for 10 s x s 150 (where x is the number of apartments). Suppose that the owning company is selling its apartments at the price of $220,000 (for each apartment). Find the revenue function of this company? Find its profit function? How many apartments does it sell to break even? Can the company make profit?
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are...
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...
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,...
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...
The cost, in thousands of dollars, of airing x television commercials during a sports event is given by C(x) = 150 + 2,100x -0.01x2. (a) Find the marginal cost function C'(x). HINT [See Example 1.] C'(x) = 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 $ per television commercial. The exact cost...
A manufacturing company produces two models of an HDTV per week, x units of model A and y units of model B with a cost (in dollars) given by the following function. C(x,y)= 3x² + 6y2 If it is necessary (because of shipping considerations) that x + y = 180, how many of each type of set should be manufactured per week to minimize cost? What is the minimum cost?
b. Convert log, 9 = to exponential form. 7x 100 - thousand dollars. thousand com 25. The cost to remove x percent of a pollutant is given by y = Find the cost of removing: a. 50% of the pollutant b. 80% of the pollutant C. 90% of the pollutant d. 95% of the pollutant e. 99% of the pollutant f. Can all of the pollutant be removed? Explain how you know. (HINT: Think about the domain of the function.)
Question 3 13 pts Given the following cost function where x is thousands of units produced C(x) = 20x3 – 180x² + 480x – 250 a) Find any Intervals where the cost is increasing or decreasing. (label which interval is which) b) How many units should be produced to minimize the cost? c) Find the minimum cost.
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function. win R'(x) = 4x(x2 + 28,000) a. Find the total revenue function if the revenue from 120 gadgets is $19,222. b. How many gadgets must be sold for a revenue of at least $35,000? a. The total revenue function is R(x) = given that the revenue from 120 gadgets is $19,222. (Round to the nearest integer as needed.) b. How many...
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)....
Question 2.(10 points): The cost (in thousands of dollars) for building a new apartment was estimated to be C(x) -1,575 + 185x for 10 s x s 150 (where x is the number of apartments). Suppose that the owning company is selling its apartments at the price of $220,000 (for each apartment). Find the revenue function of this company? Find its profit function? How many apartments does it sell to break even? Can the company make profit?
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...
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