# 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?

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### 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 minimized? (use calcu...

### 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) is 182, find the ...

### 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 item of producing 330 ...

### 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

### economics

Teddy Bear, Inc., a rapidly growing manufacturer of high fashion children's shoes, plans to open a new production facility in Gastonia. Based on information provided by the accounting department, the company estimates fixed costs of $250,000 per year. Its average variable cost...

### 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 the cost of producing...

### Business Calculus

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 given at x=2 the cost, ...

### 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 level? cost = $ c) What ...

### 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 cost of RM 600. At the...

### 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? cost = $ c) What is the...

### 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.

### 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 for the production of...

### 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 increased one unit, to ...

### 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?

### calculus

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 level? cost = $ c) What is the total revenue at ...

### Business

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. The average variable ...

### 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?

### 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 total cost curve for ...

### 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 marginal cost function...

### 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 following statements are ...

### 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 as indicated and h = ...

### 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?

### business calculus

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 51st toy?

### 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 in the smallest ...

### 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 in the smallest ...

### 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 production cost. (...

### 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 producing the 5001st...

### 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 cost for 35 clubs =

### 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) and interpret its ...

### 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?

### 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 do I just put the ...

### 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. What is the marginal ...

### 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 total variable cost ...

### 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.

### 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 =

### 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 total cost is a ...

### 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

### 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 countries have the ...

### intro-cal

a company makes x toys daily at a cost of C(x)=125+30x+2(x to the power of 2/3) dollars. what daily production level will minimize the average cost? (note define average cost as the Total cost divided by the total number of items) thx According to your definition Average Cost...

### ACCOUnting

Chen Company manufactures basketballs. Materials are added at the beginning of the production process and conversion costs are incurred uniformly. Production and cost data for the month of July 2010 are as follows. Production Data-Basketballs Units Percent Complete Work in ...

### math/economics in calculus

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. I know that the total cost is 0.01q^3-0.6q^2+13q What is the minimum marginal cost? ...

### Microeconomics

In the shortrun function of a company with a constant variable cost is given by the equation q=225+55q,where TC is the total cost and q is the total quantity of output,both measured in thousands.1.what is a company's fixed cost?2.if the company produced 100,000 units of goods,...

### Business

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 the level of 120,000 ...

### 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 the level of 180,000 ...

### 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 function associated ...

### 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.

### 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 cost of producing ...

### Economics

Suppose that a firm is currently employing 30 workers, the only variable input, at a wage rate of $60. The average product of labor is 30, the last worker added 12 units to total output, and total fixed cost is: $3,600. a. What is marginal cost? b. What is average variable ...

### Economics

Suppose that a firm is currently employing 30 workers, the only variable input, at a wage rate of $60. The average product of labor is 30, the last worker added 12 units to total output, and total fixed cost is: $3,600. a. What is marginal cost? b. What is average variable ...

### 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 items .

### 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

### 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 |620,000 | 6 |660,000 | ...

### 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: (1) what are the firm...

### 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 1000. Item: Raw ...

### 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. (Round your answer to ...

### 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. (Round your answer to ...

### 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.

### 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

### algebra

URGENT! How do you calculate for marginal cost against fixed cost. E.g., a company produces 2 pairs of shoes at $390.00. If it produces 1 more pair (making total production 3), total cost is $600.00. If no production is made, the fixed cost is $130. With this scenario, how do ...

### 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

### Math

a manufacturer has daily production costs of C=4000-30x+0.5x where C is the total cost in dollars and x is the number of units produced. (a) How many units should be produced each day to yield a minimum cost? (b) What is the minimum cost?

### 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 COST OF RAW MATERIAL ...

### 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 the AVC so they ...

### maths

As the number of units manufactured increases from 4000 to 6000 the total cost of production increases form $22000 to $30000. Assuming a linear relationship between the cost and the number of units manufactured, what will be the cost when 4500 units are produced.

### 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 put into a 30 degree...

### economics

perfectly competitive industry. Each firm having identical cost structures. long-run average cost is minimized at an output of 20 units. Minimum average cost is $10 per unit. total market demand is Q=1500-50P. What is the long-run equilibrium price? Total industry output? ...

### 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

### 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 for these quanties, ...

### 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 variable cost? d. is the ...

### 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 and labor for ...

### 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 180,000 units per day...

### 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 for these quanties, ...

### 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 50 units of output. ...

### 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 demanded. The weekly total ...

### accounting

# 1 Takers,Inc.provide the following results: 2004 2003 Units 2,400 3,000 Total Cost 19,200 24,000 What form of cost behavior is the cost above? Fixed cost, Sunk Cost, Mixed Cost or Variable Cost

### 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, and marginal cost ...

### 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 cost of materials and...

### 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 cost of materials and...

### 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 cost of materials and...

### 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 the level of 120,000 ...

### MATHS

A manufacture finds the total cost “C” for a product is expressed by C=3x2-8, and the total revenue “R” by R=3x-2, where x is the number of units sold. What is the breakeven point (where total cost=total revenue) to the nearest unit?

### MATHSS

A manufacture finds the total cost “C” for a product is expressed by C=3x2-8, and the total revenue “R” by R=3x-2, where x is the number of units sold. What is the breakeven point (where total cost=total revenue) to the nearest unit?

### Maths help

A manufacture finds the total cost "C" for a product is expressed by C=3x2-8, and the total revenue "R" by R=3x-2, where x is the number of units sold. What is the breakeven point (where total cost=total revenue) to the nearest unit?

### Maths

A manufacture finds the total cost "C" for a product is expressed by C=3x2-8, and the total revenue "R" by R=3x-2, where x is the number of units sold. What is the breakeven point (where total cost=total revenue) to the nearest unit?

### Geometry

Marty's Tee Shirt & Jacket Company is to produce a new line of jackets with a embroidery of a Great Pyrenees dog on the front. There are fixed costs of $650 to set up for production, and variable costs of $40 per jacket. Find an equation that can be used to determine the total...

### math

The marginal cost of production (in Rs) is 3+x/3000+e^-0.003x,where x denotes the number of units. The cost of producing 100th unit is:

### math

The marginal cost of production (in Rs) is 3 + x/3000 + e^(-0.03x), where x denotes the number of units. The cost of producing 100th unit is:

### Math

As the number of units manufactured increases from 4000 to 6000 the total cost of production increases from 22000 to 30000. Assuming a linear relationship between the cost when 4500 units are produced.

### Managerial Economics

Suppose that a firm is currently employing 10 workers, the only variable input, at a wage rate of $100. The average physical product of labor is 25, the last worker added 10 units to total output, and total fixed cost is $5,000. a. What is marginal cost? b. What is average ...

### Managerial ECON

Suppose that a firm is currently employing 10 workers, the only variable input, at a wage rate of $100. The average physical product of labor is 25, the last worker added 10 units to total output, and total fixed cost is $5,000 a. What is marginal cost? b. What is average ...

### 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?

### 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 of goods sold under (...

### economics

A firm has fixed costs of $30.00 and variable costs as indicated in the table below. Complete the table. Instructions: Round your answers so that you enter no more than 2 decimal places. Total Product Total Fixed Cost Total Variable Cost Total Cost Average Fixed Cost Average ...

### Calculus -math

The Perfect Pizza Parlour estimates the average daily cost per pizza, in dollars, to be c(x)=0.00025x^2 +8x +10/x, where x is the number of pizzas made in a day. A) Determine the total cost at a production level of 50 pizzas a day B) Determine the production level that would ...

### business

You have decided to develop a worksheet for each manufacturing facility manager to submit each week. It should show total production and revenue, and total scrap and cost for each product for the week, if a facility drops below 5,000 units of production on the mini-gizmo, the ...

### economics

A perfectly competitive painted necktie industry has a large number of potential entrants. Each firm has an identical cost structure such that long-run average cost is minimized at an output of 20 units. The minimum average cost is $10 per unit. Total market demand is given by...

### 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.

### 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 average cost per beanie ...

### Economics

10. An industry currently has 100 firms, all of which have fixed cost of $16 and average variable cost as follows: Quantity / Average variable cost: (1/$1),(2,$2), (3,$3), (4,$4), (5,$5), and (6,$6) b. The price is currently $10. What is the total quantity supplied in the ...