(a) Find the revenue function R(r) and the profit function P(r). (b) Find the marginal cost, marginal revenue, and marginal profit functions. (c) Find the marginal average cost function. (d) Compute C'(3000), R'(3000), and P'(3000), and write a sentence for each calculation inter- preting your results in the context of the problem.

Q: Suppose the cost for producing x units is given by C(x)= 10,000+5x+0.01x^2 A) Find the average cost…

A:

Q: Suppose a product has a daily marginal revenue MR = 44 and a daily marginal cost MC = 20 + 1/5x…

A:

Q: 4. The cost function for a commodity is given by Ctx) = 5-2x, what is the margiral average cost…

A: As per guideline we have to solve one question

Q: 3. The marginal cost of producing x tablet computers is C'(x) = 120 – 0.06x + 0.00001a? (a) What is…

A: We have given the marginal cost of producing x tablet computers is C'(x)=120-0.06x+0.00001x2

Q: Let Cix) be the cost function and R(x) the revenue function. Compute the marginat cost, marginat…

A:

Q: A phone company charges $0.39 per minute for the first 10 minutes of a long-distance phone call and…

A: NOTE: Refresh your page if you can't see any equations. . A phone company charges $0.39 per minute…

Q: The marginal cost of producing the xth box of light bulbs is 14-(x/10000), and the fixed cost is…

A: Given, Marginal cost = dC/dx = 14 - x/10000 now dC/dx = 14 - x/10000 dC = (14 - x/10000) dx…

Q: 2. A company manufactures x HD TVs per month. The monthly marginal profit is given by P'(x)…

A: The  monthly marginal profit function is By integrating, we get

Q: 7. The cost for the production of x tubs of ice cream is modelled by the function C(x) =0.0001x…

A: Given: Cost of producing x tubs of ice cream is given by the cost function  Cx=0.0001x2+1.75x+4100…

Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

A:

Q: 6) The marginal revenue from the sale of x units of certain commodity is given by R'(x) = 4x-1.2x…

A: Since, the marginal revenue from the sale of x units of certain commodityis given by…

Q: An electronic manufacturing firm has the profit function P(x)= x³+x² - ADX + A, and revenue function…

A:

Q: The rate of growth of profit (in millions) from an invention is approximated by P'(x) = x e -X,…

A:

Q: Find the cost function for marginal cost function  C′(x) = x2/3 + 2;    8 units cost $58

A: The marginal cost function is the derivative of the cost function. Hence the integration of the…

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x – 3x + 229, where x…

A:

Q: 3. The cost (in pesos) of producing x toys is given by x² + 100x + 2000, while the price (in pesos)…

A:

Q: Find the cost functio

A: Given Marginal cost function And Fixed cost $2 that is

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x cost is C(x) (a) Find the marginal profit for…

A: Calculate profit function  Profit function is the difference between revenue function and cost…

Q: b) Suppose that the total revenue function is given by R(x) = 46x, and that the total cost function…

A:

Q: The cost function of a company as a function of units produced x is C(x)=181+43x−0.02x2.   What is…

A:

Q: The demand equation for handarafted violins by a certain violin maker can be approximated by p= 21…

A:

Q: A company can sell x units of a product when the price is p D(x) = 3.00 - 0.005x dollars. The total…

A:

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A:

Q: The marginal cost of producing the xth box of lightbulbs is 10-x/30000, and the fixed cost is…

A: Given,         The marginal cost of producing the xth box of lightbulbs is 10-x30000 , and the fixed…

Q: The marginal revenue function of a company is: I'(x) = 10 – 0.02x Determine: a) The income that will…

A:

Q: (c). Suppose the total revenue function for a blender is R(x)=86x –0.09x² dollars where x is the…

A:

Q: For the given cost function C(x)=28900+500x+x2 find:a) The marginal cost at the production level…

A: The marginal cost at the production level 1350  is C'(1350)Answer(a): 3200

Q: Find the cost function for the given marginal cost and fixed cost. marginal cost= 1/80x+40 fixed…

A: Given:        Marginal cost dCdx=180x+40         Fixed cost x=0=$8000…

Q: The cost function for producing x items is C(x)=30,000 +200x - 0.10x2 . The revenue function is R(x)…

A: To find the marginal cost we need C'(x) C(x)=30,000 +200x - 0.10x2 C'(x)=200-0.20x

Q: 2 9. For the cost function C(x)= 500x+.01x+400 a) find the average cost function and find the demand…

A: Cost function C(x) = 500x + 0.01x2 + 400   Average cost function Ax = Total cost functionNumber of…

Q: 2. Given the cost function C(x) =140 +0.2x, use marginal cost to approximate the cost of producing…

A: To find the marginal cost function we find C'(x)

Q: A company has a price demand function P (x) = 150 − 3x for a certain product. What is the revenue…

A: The price demand function is provided as P(x) = 150 - 3x.The revenue function is given by,R(x) =…

Q: 1. For the profit function P(x) = –x³ + (3x+2)², where x represents an amount invested in thousands…

A:

Q: The total cost of producing x units of a certain commodity is given by C(x) = 20x ^ 2 + 100 a)Find…

A: Given  Total Cost C(x) = 20x2 + 100

Q: The marginal cost of producing the xth box of light bulbs is  10 − X/20000,  and the fixed cost is…

A:

Q: The cost function for producing x items is C(x)=30,000 +200x - 0.10x2 . The revenue function is…

A:

Q: (9) The marginal profit from producing x units per day is given by P'(x) = 200 - 0.06x and P(0) = 0…

A: To find: The profit function P(x) and the profit on 10 units of production per day. Given…

Q: Suppose a company has fixed costs of $54,400 and variable cost per unit of 4/9x + 222 dollars, where…

A: Given the fixed cost of a company is $54400 and the variable cost per unit is 49x+222 dollars,…

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x - 6200 and the cost is C(x) = 0.02x + 38, for…

A:

Q: Find the marginal revenue function. R(x) = x(28 - 0.06x) R'(X) = D

A: given,

Q: A company has a weekly marginal profit function given by P'(x) = 40x – 0.3x2 – 260 dollars per item…

A: to find the change in profit

Q: 23. Suppose that total national consumption is given by a C(x)=200–0.6x–0.05x0“, where x is the…

A:

Q: . The marginal cost function for a commodity is given by C'(x) = x² + 2x + 1, where x is the number…

A: Since you posted many questions here, i can answer only first. Please repost other questions in…

Q: A manufacturer has a monthly fixed cost of $60,000 and a production cost of S10 for each unit…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: For the production function given by x-2 Hab - Aa² - Bb², ow that the marginal rate of technical…

A: The marginal rate of technical substitution (MRTS) shows the rate at which  one input can be…

Q: 2. An electronics company finds that its total profit from selling x hard drives is given by the…

A: We need to find marginal profit.

Q: The average cost function for a company, C(x), is its cost function divided by the

A: To fill the given blank:

Q: Find the cost function for the marginal cost function.  c'(x)= .05e.01x ; fixed cost $8

A:

Q: The marginal cost of producing the xth box of DVDs is  11 +  x2 50,000 and the fixed cost is…

A: Marginal cost of production of box of DVD's is given below C'(x) = 11 + x250000 Fixed cost = 100000

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.