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18. The equation C- 11g+ 250 represents the total cost, C dollars, for a sports banquet...
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...
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 total revenue function for a product is given by R=655x dollars, and the total cost...
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...
wll result in a maximum proit? (10 marks) QUESTION5 a) Suppose that the total cost of producing 1 unit of a product is given by C(x, y)-20x +70y+ 5 dollars, where x represents the cost per Ringgi...
wll result in a maximum proit? (10 marks) QUESTION5 a) Suppose that the total cost of producing 1 unit of a product is given by C(x, y)-20x +70y+ 5 dollars, where x represents the cost per Ringgit of raw 1000 100 materials and y represents the hourly rate for labor. The present cost for raw materials is RM11 per pound and the present hourly rate for labor is RM20. i. Indicate how to use the cost function C to determine...
15) The total cost (in dollars) to produce q units of a good is given by...
15) The total cost (in dollars) to produce q
units of a good is given by the function:
C(q)=8q+58000
Answer the following.
(A) What is the total cost to produce 6,000 units?
Cost = $
(B) How many units can be produced with a total of $98,800?
Answer =
17) The function graphed below has:
Positive derivative on the interval(s) =
Negative derivative on the interval(s) =
$ + ¢ 1114-18 $
Quiz 1 Name: 1. The income tax Towed in a certain state is a function of...
Quiz 1 Name: 1. The income tax Towed in a certain state is a function of the taxable income I, both measured in dollars. The formula is 1 0.101 - 700 a. Express using function notation the tax owed on a taxable income of $15,000 and then calculate that value. b. If your taxable income increases from $15,000 to $20,000, how much does your tax increase by? 2. The following table shows the US gross domestic product (GDP) G, in...
nsid If the total cost function for a product is C(x) = 810 + 0.1x2 dollars,...
nsid If the total cost function for a product is C(x) = 810 + 0.1x2 dollars, producing how many units, x, will result in a minimum average cost per unit? units x40 d Find the minimum average cost per unit. $103 Aleed Hln
Numbers 8, 12, 18, 20 8. Find the equation of the line perpendicular to 3x -...
Numbers 8, 12, 18, 20
8. Find the equation of the line perpendicular to 3x - 4y 12 and passing through (6,1). 9. The annual revenue of a new web-services company in dollars is given by R(n)- 125n, where n represents the number of users the company has registered. The annual maintenance cost of the company's registered user base in dollars is given by the formula C(n) 85n+22, 480 where n represents the users. a. Write a function that models...
1)A linear cost function is C(x) = 6x + 450. (Assume C is measured in dollars.)...
1)A linear cost function is C(x) = 6x + 450. (Assume C is measured in dollars.) (a) What are the slope and the C-intercept? slope C-intercept (b) What is the marginal cost MC ? MC= What does the marginal cost mean? Each additional unit produced costs this much (in dollars). If production is increased by this many units, the cost decreases by $1. Each additional unit produced reduces the cost by this much (in dollars). If production is increased...
4. An economist estimated that the cost function of a single-product firm is C(a) 50 250+30503...
4. An economist estimated that the cost function of a single-product firm is C(a) 50 250+30503 Based on this information, determine: a. The fixed cost of producing 10 units of output. b. The variable cost of producing 10 units of output. c. The total cost of producing 10 units of output. d. The average fixed cost of producing 10 units of output. e. The average variable cost of producing 10 units of output. f. The average total cost of producing...
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...
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...
wll result in a maximum proit? (10 marks) QUESTION5 a) Suppose that the total cost of producing 1 unit of a product is given by C(x, y)-20x +70y+ 5 dollars, where x represents the cost per Ringgit of raw 1000 100 materials and y represents the hourly rate for labor. The present cost for raw materials is RM11 per pound and the present hourly rate for labor is RM20. i. Indicate how to use the cost function C to determine...
15) The total cost (in dollars) to produce q
units of a good is given by the function:
C(q)=8q+58000
Answer the following.
(A) What is the total cost to produce 6,000 units?
Cost = $
(B) How many units can be produced with a total of $98,800?
Answer =
17) The function graphed below has:
Positive derivative on the interval(s) =
Negative derivative on the interval(s) =
$ + ¢ 1114-18 $
Quiz 1 Name: 1. The income tax Towed in a certain state is a function of the taxable income I, both measured in dollars. The formula is 1 0.101 - 700 a. Express using function notation the tax owed on a taxable income of $15,000 and then calculate that value. b. If your taxable income increases from $15,000 to $20,000, how much does your tax increase by? 2. The following table shows the US gross domestic product (GDP) G, in...
nsid If the total cost function for a product is C(x) = 810 + 0.1x2 dollars, producing how many units, x, will result in a minimum average cost per unit? units x40 d Find the minimum average cost per unit. $103 Aleed Hln
Numbers 8, 12, 18, 20
8. Find the equation of the line perpendicular to 3x - 4y 12 and passing through (6,1). 9. The annual revenue of a new web-services company in dollars is given by R(n)- 125n, where n represents the number of users the company has registered. The annual maintenance cost of the company's registered user base in dollars is given by the formula C(n) 85n+22, 480 where n represents the users. a. Write a function that models...
4. An economist estimated that the cost function of a single-product firm is C(a) 50 250+30503 Based on this information, determine: a. The fixed cost of producing 10 units of output. b. The variable cost of producing 10 units of output. c. The total cost of producing 10 units of output. d. The average fixed cost of producing 10 units of output. e. The average variable cost of producing 10 units of output. f. The average total cost of producing...
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