# The total cost of producing x units is C(q) = 2q3- 6q2-18q+108 (a) At what level of production will the total cost be minimized?

45,726 results
1. ## calculus

The total cost of producing x units is C(q) = 2q3- 6q2-18q+108 (a) At what level of production will the total cost be minimized? (b) At what level of production will the marginal cost be minimized? (c) At what level of production will the average cost be

A manufacturer has found that marginal cost is dc/dx=3x^2-60x+400 dollars per unit when x units have been produced. The total cost of producing the first 2 units is \$900. What is the total cost of producing the first 5 units? I would integrate, you are
3. ## math

The marginal cost function is given by dc/dq=0.08q^2-1.8q+2.5 where c is the total cost in producing q units of product. The fixed cost is 5000. Find the total cost for producing 1000 units
4. ## math

The daily cost C, in RM, of producing a product is C(x)=1000+72x-0.06x^2 (0 more & equal x less & equal 60) where x represents the number of product produced. a) Find the daily cost of producing 50 units b) Find the marginal cost function. c) Find C’(50)
5. ## Math

The cost of producing x units of a certain commodity is given by P(x)=1000+ int(MC(s))ds from 0 to x, where P is in dollars and M(x) is marginal cost in dollars per unit. A. Suppose the marginal cost at a production level of 500 units is \$10 per unit, and
6. ## Calculus

The marginal cost for producing x units of a certain product is given by the formula MC = 0.001x^2-0.5x+66.5. A. What is the increase in the cost of the production if the production level is raised from 200 to 400 units? B. What is the average cost per
7. ## Economics/Math

In a perfectly competitive industry, the market price is \$25. A firm is currently producing 10,000 units of output, its average total cost is \$28, its marginal cost is \$20, and its average variable cost is \$20. Given these facts, explain whether the
8. ## Economics

The fixed cost of producing five units of a particular commodity is given as #900 while the total cost of producing the same five units of this commodity is #1000.the marginal cost of the 6th unit produced later is #200.calculate the average variable cost
9. ## Math Help

A division of a corporation produces "Personal Income Tax" diaries. Each diary sells for \$8. The monthly fixed costs incurred by the division are \$20,000, and the variable cost of producing each diary is \$3. What should be the level of sales in order for

At an activity level of 8,800 units, Pember Corporation's total variable cost is \$146,520 and its total fixed cost is \$219,296. For the activity level of 8,900 units, compute the following values. Required: A. The total variable cost B. The total cost C.
11. ## Math

If the total cost function for producing x lamps is C(x) = 90 + 36x + 0.1x^2 dollars, producing how many units will result in a minimum average cost per unit? PLEASE EXPLAIN YOUR WORK Thank you
12. ## Macroeconomics

A company is producing 100 units. At this quanity, it's average total cost is \$25, and it's total fixed cost is \$2,000. How much is it's total variable cost?
13. ## To: Economyst

Hi there. You helped me with a couple of questions regarding Econ. I appreciate the help but my issue is I don't understand how you calculate the minimum average variable cost or the output that maximizes profit. I do understand that the price is more than
14. ## Economics

Suppose Honda's total cost of producing 4 cars is \$225,000 and its total cost of producing 5 cars is \$250,000 a)What is the average total cost of producing 5 cars b)What is the marginal cost of the fifth car? c)Draw the marginal cost curve and the average
15. ## Survey Of Calc

The cost C (in dollars) for producing x units of an item is given by C=370+2.55sqrtX. find the marginal cost when the production level is X=400 units. My answer came out to 51/800, or .06375. I'm not sure if I did it correctly.
16. ## Algebra

The cost of producing 4 metal units is \$204.80. The cost of producing 8 units is \$209.60. What will it cost to produce 14 units?
17. ## Calculus

q 0 125 250 375 500 625 750 C'(q) 26 24 30 26 23 25 29 a) If the fixed cost is \$8500, use the average of left- and right-hand sums to determine the total cost of producing 500 units. Answer: \$ b) How much would the total cost increase if production were

the total cost of producing x units of toys is C(x)=110-4x+〖.02x〗^2. a.find the marginal cost b. if 50 toys are manufactured, what is the rate of change of the total cost? c.what is the amount in peso of the actual cost of manufacturing the
19. ## Math

The cost of producing x units of a product is given by C(x)=800+120x−120ln(x),x≥1. Find the minimum average cost, which is defined as C(x)/x (the total cost divided by the number of units). Minimum Average Cost =
20. ## Calc

q 0 125 250 375 500 625 750 C'(q) 27 35 41 45 43 46 51 Give fixed cost = 8800 and cost of producing 250 units is 17425, how much would the total cost increase if production were increased one unit, to 251 units?
21. ## maths

A company is planning to manufacture and sell a new headphone set. After conducting extensive market surveys, the research department provide the following estimates: Marginal costs function: c^' (x)=RM(40+0.4x) where x is the quantity sold for the fixed
22. ## Math - average rate problems(check + help)

The total cost, c, in dollars of operating a factory that produces kitchen utensils is C(x)=0.5x^2+40x+8000, where x is the number of items produced in thousands. a)Determine the marginal cost of producing 5000itmes and compare this with the actual cost of
23. ## Calculus

The marginal cost of a certain commodity is C'(x)= 3x^2 -36x + 120 If it costs 5 dollars to produce 1 unit, then find the total cost of producing x units is... Please how do I find the total cost?
24. ## Economics

The schedule below shows the level of output that can be produced using different levels of input. A unit of input costs \$80 and the fixed costs of running your business are \$50. Input Output 0 0 1 2 2 6 3 9 4 11 5 12 1. What is your AVC of producing 11
25. ## Math

If the total cost of producing X units of a product is given by C(X)= 10,000 + 20xe X/600... find the marginal cost when 600 units are produced
26. ## Micro economics

1. prove mathematically that MC does not depend on TFC 2. if the average cost of producing 8 units of output in \$80 and that of prodcuing 9 units of output is \$90, find the marginal cost of the 9th unit of output and the total cost of the last unit
27. ## Calculus

Here's one more that I do not understand A company estimates that the cost (\$) of producing x units of a certain product is given by: C= 800 + .04x + .0002x^2 Find the production level that minimizes the average cost per unit. Thank you so much
28. ## Calculus

A company manufactures x units of one item and y units of another. The total cost in dollars, C, of producing these two items is approximated by the function C=7x^2+xy+1y^2+600. A) If the production quota for the total number of items (both types combined)
29. ## Calculus

There was a typo in last question A company estimates that the cost (\$) of producing x units of a certain product is given by: C= 800 + .04x + .002x^2 Find the production level that minimizes the average cost per unit.
30. ## ECOMICS

IF AN ECONOMY MOVES FROM PRODUCING 15 UNITS OF A AND 7 UNITS OF B TO PRODUCING 10 AS AND 8BS, THE OPPORTUNITY COST OF THE 8TH B IS: 1 10AS 2 5AS 3 7AS
31. ## Calculus

The total cost (in dollars) of producing x golf clubs per day is given by the formula C(x)=500+100x−0.1x2. (A) Find the marginal cost at a production level of x golf clubs. C′(x) = (B) Find the marginal cost of producing 35 golf clubs. Marginal
32. ## Calculus

Here's another one that I do not really understand. A company estimates that the cost (in dollars) of producing x units of a certain product isgiven by: C=800 + .04x + .0002x^2. Find the production level that minimizes the average cost per unit.
33. ## economics

A profit-maximizing firm in a competitive market is currently producing 100 units of output. It has average revenue so \$10, average total cost of \$8 and fixed cost of \$200. a. what is the profit? b. what is the marginal cost? c. what is its average

The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is \$6.20, it cost \$6.20 to increase productionn from 49 to 50 units of output. Suppose
35. ## economics

A firm currently uses 40,000 workers to produce 180,000 units of output per day. The daily wage per worker is \$100, and the price of the firm's output is \$28. The cost of other variable inputs is \$500,000 per day. (Note: Assume that output is constant at

A firm currently uses 50,000 workers to produce 120,000 units of output per day. The daily wage per worker is \$100, and the price of the firm's output is \$48. The cost of other variable inputs is \$400,000 per day. (Note: Assume that output is constant at
37. ## Accounting

Costs can be classified into two categories, fixed and variable costs. These costs behave differently based on the level of sales volumes. Suppose we are running a restaurant and have identified certain costs along with the number of annual units sold of
38. ## economics

If a country is currently producing 11 units of health care and 16 units of education, what is the opportunity cost of producing 5 more units of education?
39. ## math

The average cost of manufacturing a quantity q of a good, is defined to be a(q) = C(q)/q. The average cost per item to produce q items is given by a(q) = 0.01q2 − 0.6q + 13, for q >0. (a) What is the total cost, C(q),of producing q goods? For this
40. ## College Algebra

The monthly cost in dollars from producing x units of an item is given by the cost function C(x)=2x^2-160x+18400. How many units will result in the minimum cost? I do not know how to start this problem. Thank you for your help!
41. ## Math

A manufacturer produces certain devices. The fixed cost of production is \$2000. The first unit produced cost \$2 and the cost per unit increases by 20 cents or each additional unit produced. What is the total cost C of producing x units?
42. ## ecoc

i can not figure this out the economist for the grand corporation has estimated the company's cost function, using time series data, to be TC=50+16Q-2Q2+0.2Q3 a.plot this curve for quantites 1 to 10 b.calculate the average total cost,average variable cost,
43. ## econ

The economist for the Grand Corporation has estimated the company’s cost function, using the times series data to be TC=50+16Q-2Q2+0.2Q3 a. Plot this curve for quanties 1 to 10 b. Calculate the average total cost, average variable cost and marginal cost
44. ## Calculus

The weekly demand for the Pulsar 25-in. color console television is given by the demand equation p = -0.03 x + 571\ \ \ \ \(0<=x<=12,000\) where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost
45. ## home economics

The economist for the Grand Corporation has estimated the company’s cost function, using the times series data to be TC=50+16Q-2Q2+0.2Q3 a. Plot this curve for quanties 1 to 10 b. Calculate the average total cost, average variable cost and marginal cost
46. ## Economics

The accompanying table shows a car manufacturer’s total cost of producing cars: Qty |TC| Variable Costs| Avg. Var. Costs| Avg. Total Costs| Avg. Fixed Costs 0 |\$500,000| ---- | ---- | ---- |---- | 1 |540,000 | 2 |560,000 | 3 |570,000 | 4 |590,000 | 5
47. ## Economics/Math

Suppose you are the manager of a small chemical company operating in a competitive market. Your cost of production can be expressed as C = 100 + Q2, where Q is the level of output and C is total cost. a. Is this a short-run cost function? b. What is the
48. ## Microeconomics

A firm currently uses 40,000 workers to produce 180,000 units per day. The daily wage per worker is \$100, and the price of the firm’s output is \$28. The cost other variable input is \$500,000 per day. (Note assume that output is constant at the level of
49. ## Microeconomics

If a monopoly is producing at an output where its average total cost of production is minimized and equals \$50 per unit and marginal revenue equals \$60, is the monopoly producing at the profit-maximizing output level? Explain why or why not.
50. ## Economics

The market for fertilizer is perfectly competitive. Firms in the market are producing output, but they are currently making economic losses. a. How does the price of fertilizer compare to the average total cost, the average variable cost, and the marginal
51. ## economic math

Imagine that you own a small business and that you have to decide how much of your product to sell every year, and which technology to use to produce it. Your market research suggests that the price at which you will be able to sell each unit of your
52. ## Economics

1) Lowering the price by 10%. What is the break-even level of output? The company produces specialized glass units and is concerned that, as the market leader, they should be able to make higher profits than they currently are. The firm’s costs are as
53. ## math

when no more than 110 units are produced, the cost of producing x units is given by C(x)=.2x^3 - 25x^2 + 1531x + 25,000 How many units should be produced in order to have the lowest possible average cost?
54. ## MicroEconomics

A firm currently uses 50,000 workers to produce 120,000 units of output per day. The daily wage per worker is \$100, and the price of the firm's output is \$48. The cost of other variable inputs is \$400,000 per day. (Note: Assume that output is constant at
55. ## math

The function gives the cost to manufacture x items. C(x) = 20,000 + 5x − x2 20,000 ; x = 20,000 Find the average cost per unit of manufacturing h more items (i.e., the average rate of change of the total cost) at a production level of x, where x is
56. ## Math

The weekly demand for the Pulsar 25-in. color console television is given by the demand equation p=-0.05x+502 (0(less than or equal too)x(less than or equal too)12,000) where p denotes the wholesale unit price in dollars and x denotes the quantity
57. ## Economics

Initially suppose that both countries have the same production function, namely q = K.3L.7. For this production function, MPL = .7K.3L-.3 and MPK = .3K.-7L.7. Derive (with all steps shown) the long-run total cost function for each country. (Given that both
58. ## MATH 209

Ace manufacturing has determined that the cost of labor for producing x transmissions is 0.3x2+400x+550 dollars, while the cost of materials is 0.1x2+50x+800 dollars. Find the total cost of producing x=500 transmissions.
59. ## Algebra

83. Minimizing Marginal Cost The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is \$6.20, it cost \$6.20 to increase production from 49 to
60. ## microeconomics

A firm currently uses 40,000 workers to produce 180,000 units of output per day. The daily wage per worker is \$100, and the price of the firm's output is \$28. The cost of other variable inputs is \$500,000 per day. (Note: Assume that output is constant at
61. ## Math - Algebra word problem

Ace manufacturing has determined that the cost of labor for producing x transmissions is L(x) = 0.3x2 + 400x + 550 dollars, While the cost of materials is M(x) = 0.1x2 + 50x + 800 dollars. Write a polynomial T(x) that represents the total cost of materials
62. ## Maths Algebra

The company produces specialised industrial air extraction units and is concerned that, as the market leader, they should be able to make higher profits than they currently are. The firm’s costs are as follows; overheads ‘d’ are £800,000 labour
63. ## Algebra

A manufacturing company has determined that the cost of labor for producing x transmissions is: L(x) = 0.3x^2 + 400x + 550 dollars, while the cost of materials is M(x) = 0.1x^2 + 50x + 800 dollars. Need to write a polynomial T(x) that represents the total
64. ## Algebra

A manufacturing company has determined that the cost of labor for producing x transmissions is: L(x) = 0.3x^2 + 400x + 550 dollars, while the cost of materials is M(x) = 0.1x^2 + 50x + 800 dollars. Need to write a polynomial T(x) that represents the total
65. ## Algebra

A manufacturing company has determined that the cost of labor for producing x transmissions is: L(x) = 0.3x^2 + 400x + 550 dollars, while the cost of materials is M(x) = 0.1x^2 + 50x + 800 dollars. Need to write a polynomial T(x) that represents the total
66. ## MANAGEMENT ACCOUNTING

COSTS CAN BE CLASSIFIED INTO TWO CATEGORIES FIXED AND VARIABLE COSTS THESE COST BEHAVE DIFFERENTLY BASED ON THE LEVEL OF VOLUME SUPPOSE WE ARE RUNNING A RESTAURANT AND HAVE IDENTIFIED CERTAIN COST ALONG WITH THE NUMBER OF ANNUAL UNIT SOLD OF 1000 TOTAL
67. ## calculus

The total cost (in dollars) of producing x college textbooks is C(x) = 50x+ 11,000 What is the fixed cost? 11,000 What is the marginal cost? What is the total cost of producing 700 books? 34,000 books? What is the average cost when 700 books are produced?
68. ## Brief calculus

The marginal cost of producing the xth box of CDs is given by 9 − x/(x^2 + 1)^2. The total cost to produce 2 boxes is \$1,200. Find the total cost function C(x). I'm getting 9x-(1/(x^2 - 1))+1181.9 but i guess its wrong
69. ## Introduction programing visual basic

break even analysis. suppose a certain product sells for a dollars per unit. then the revenue from selling x units of the product is ax dollars if the cost of producting each unit of the product is b dollars and the company has overhead cost of c dollars
70. ## To: Economyst

I did mean Q Suppose you are the manager of a small chemical company operating in a competitive market. Your cost of production can be expressed as C = 100 + Q2, where Q is the level of output and C is total cost. a. Is this a short-run cost function? b.
71. ## Basic math for science

A sportswear manufacture determines that the marginal cost of producing x worm-up suits is given in dollars by 20-0.015x.if the cost of producing one suits is \$25,find the cost function and the cost of producing 50 suits and 100 suits
72. ## Economics

1. The law of diminishing returns implies that at some output level: a) Marginal cost must fall b) Average total cost must diminish c) profit increases d) Marginal cost must rise e) Total cost must fall 2. The vertical distance between total cost curve and
73. ## Economics

Janice is producing a new product at marginal cost of £1, and by law she has to sell it for £2. She has to decide how much to produce before she learns the demand. All she knows is that demand will be 20 or 50, with equal probability. If she is just a
74. ## calc

q 0 125 250 375 500 625 750 C'(q) 27 35 41 45 43 46 51 Give fixed cost = 8800 and cost of producing 250 units is 17425, how much would the total cost increase if production were increased one unit, to 251 units? --- A cup of coffee at 90 degrees celsius is
75. ## Finite Math

The total monthly cost (in dollars) of producing x thousand beanie babies is: C(x)= 250x + 5,000. a. What are the fixed costs? b. What is the marginal cost per beanie baby? c. What is the total cost of producing 100,000 beanie babies? d. What is the
76. ## Microeconomics

A profit-maximizing firm in a competitive market is currently producing 100 units of output. It has average revenue of \$10, average total cost of \$8, and ficed costs of \$200. What are the firm's profit, marginal cost, and average varible cost respectively?
77. ## Economics

a firm in a purely competitive industry is currently producing a 1000 unir per day at a total cost of \$450. if the firm produced 800 units per day, it total cost will be \$300, and it it produced 500 units per day, it total cost will be \$275. Requirements:
78. ## calculus

the cost (in dollars) of producing x units of a certain commodity is C(x)=5090+13x+0.09x^2. Find the average rate of change with respect to x when the production level is changed from x=105 to x=107.
79. ## Economics

Country A is producing 4 units of X and 8 units of Y and country B is producing 4 units of X and 6 units of Y. The opportunity cost of producing more of A) good X is the same for both countries. B) good Y is the same for both countries. C) good X is lower

The cost of producing a number of items x is given by C=mx+b, inwhich b is the fixed cost and m is the variable cost (the cost of producing one more item). (a) If the fixed cost is \$40 and the variable cost is \$10, write the cost equation. Could someone
81. ## Calculus

the cost function C(q) = q3−57q2+1083q+1010 for 0 ≤ q ≤ 50 and a price per unit of \$534. Round your answers to the nearest whole number. a) What production level maximizes profit? q = b) What is the total cost at this production level?
82. ## Calculus Help

using the cost function C(q) = q3−60q2+1200q+760 for 0 ≤ q ≤ 50 and a price per unit of \$551. Round your answers to the nearest whole number. a) What production level maximizes profit? q = b) What is the total cost at this production
83. ## algebra

Finances. During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of \$352. The next month, 400 units of electricity and 150 units of gas were used for a total cost of \$304. Find the cost per unit of gas. Please
84. ## math

Suppose the total cost function for manufacturing a certain product C(x) is given by the function below, where C (x) is measured in dollars and x represents the number of units produced. Find the level of production that will minimize the average cost.
85. ## math

Suppose the total cost function for manufacturing a certain product C(x) is given by the function below, where C (x) is measured in dollars and x represents the number of units produced. Find the level of production that will minimize the average cost.
86. ## math

The daily total cost (in dollars) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function. c(x)=0.000002x^3+3x+453 (a) Find the average cost function C. C = ? (b) Find the level of production that results
87. ## math

The daily total cost (in dollars) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function. c(x)=0.000002x^3+3x+453 (a) Find the average cost function C. C = ? (b) Find the level of production that results
88. ## math

At a production level of 1400 items, the total cost is \$7250 and the marginal cost is \$25. Use this information to estimate the costs of producing the following number of items. Your answers should be whole numbers. a) 1401 items . b) 1399 items . c) 1450
89. ## Math

The daily total cost (in dollars) incurred by Trappee and Sons for producing x cases of TexaPep hot sauce is given by the following function. (a) Find the average cost function C. C = ? (b) Find the level of production that results in the smallest average
90. ## Math

The nutritionistof FLC Foods, Inc. designed a new product for everybody's consumption and believes that the variable cost in producing the said product is Php950.00 per unit and the fixed cost is Php60,000. Write the total cost as function of the product
91. ## MATH

Jones Company had 100 units in beginning inventory at a total cost of \$10,000.The company purchased 200 units at a total cost of \$26,000. At the end of the year, Jones had 80 units in ending inventory. Compute the cost of the ending inventory and the cost
92. ## Economics

PLEASE PLEASE HELP!!!! 1.WITH THE HELP OF DIAGRAMS,MAKE A DISTIOTION BETWEEN PERFECT COMPETITION AND MONOPOLOY IN THE SHORT AND LONG RUN 2.SUPPOSE A PROFIT MAXING FIRM IS PRODUCING AT AN OUTPUT LEVEL AT WHICH THE PRICE OF ITS PRODUCT IS LESS THAN THE
93. ## math

* I posted this before, but I left out the equation, sorry. A company estimates that the marginal cost (in dollars per item) of producing x items is 2.08x-0.002x. If the cost of producing one item is \$531 find the cost of producing 100 items. Please round
94. ## math,algebra,help

Problem states: Business and finance. The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a)If the fixed cost is \$40 and the variable cost is \$10,
95. ## maths

the total revenue and the total profit functions (in Ringgit) of a product are given as follows: total revenue :R(x)= x^3-95-800x total profit: P(x)=1/3x^3+800x-120 where x is the number of units produced and sold. find the level of production in which the
96. ## math-finance

Given the following information, answer the following: TR=\$3Q TC= \$1,200 = \$2Q 1. what is the break-even level of output? 2. If the firms sells 1,300 units, what are its earnings or losses? 3. If sales rise to 2,000 units, what are the firms earnings or
97. ## Finance

****HELP PLEASE**** Given the following information, answer the following: TR=\$3Q TC= \$1,200 = \$2Q 1. what is the break-even level of output? 2. If the firms sells 1,300 units, what are its earnings or losses? 3. If sales rise to 2,000 units, what are the
98. ## Finance

Given the following information, answer the following: TR=\$3Q TC= \$1,200 = \$2Q 1. what is the break-even level of output? 2. If the firms sells 1,300 units, what are its earnings or losses? 3. If sales rise to 2,000 units, what are the firms earnings or
99. ## Finance

i have tried so hard to understand this and i am totally confused. I just don't know where to begin. Can someone please, please help me?? Given the following information, answer the following: TR=\$3Q TC= \$1,200 = \$2Q 1. what is the break-even level of
100. ## calculus

No idea where to start The cost in dollars of producing x units of a particular camera is C(x) = x2 - 10000. (10 points) Find the average rate of change of C with respect to x when the production level is changed from x = 100 to x = 101. Include units in