(a) The cost of producing 5-gallon water bottles is given by C(q) = 0.005q² + 2q + 1000. %3D If 2000 5-gallon water bottles are produced, find the (0 total cost (il) average cost (iii) marginal cost (iv) marginal average cost

Q: Given the marginal revenue function MR: -x3 + 2x2 + 4x – 1. Find the revenue function.

A: Given, marginal revenue function:                                MR=-x3+2x2+4x-1

Q: Given the revenue function in Riyal Oman per unit is; R (x) = -2x2 + 80x, and the cost function in…

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Q: The cost, in dollars, of producing x units of a certain item is given by C(x)=0.01x3−20x+200.…

A: Given cost function is, C(x)=0.01x3-20x+200

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The cost of manufacturing snow blowers is given by C(x) = 350 + 6x - 0.4x². А. Find the marginal…

A: Solution B )average cost = ΔC / ΔX  = (350 + 6x - 0.4x2)/ x = 350/x + 6 - 0.4x at  x = 25 = 350/ 25…

Q: If TC=0.01x²+5x+100 is the cost function for x items of a product, at what level of production, x is…

A: As per the question we have to minimise the cost function Tc and find its minimum value as well as…

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: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

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Q: 1. The cost (in pesos) of producing x corkboards is given by x2 + 20x + 500, while the price (in…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: The marginal cost function for a product is C'(x)=9x² + 10x where X is the number of units sold. If…

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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: The revenue for a product is R(x) = −0.004x 2 + 21x − 6200 and the cost is C(x) = 0.02x + 38, for x…

A: Given that  R(x)=-0.004x^2+21x-6200 C(x)=0.02x+38 To find  the marginal profit

Q: A company has determined the demand and supply functions for a product are given by        p =  D(…

A: Given demanf function,p = D(x) = 14 - x2Supply function p = S(x) = 4x + 2

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01a? number of cell phones, and…

A: First graph the curve and their intersection point. In the graph we can see clearly that…

Q: The cost of producing x units of a commodity is given by C(x) = 110 + 6x – 0.2x². Find the marginal…

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Q: Find the marginal profit function if cost and revenue are Pix- given by C(x)=215 +0.7x and R(x) = 3x…

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Q: The total cost function of commodity is given by C(x) = 0.5x +2x +50 Where C(x) denotes the total…

A: The given total cost function is Cx=0.5x2+2x+50 where x is the quantity produced. Evaluate Average…

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

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01² - 3x +229, where a…

A:

Q: If total revenue received from the sale of x items is given by ​R(x)=10ln(2x+1)​, while the total…

A: The given function is,Revenue, R(x)=10 ln(2x+1)cost, C(x)=x2

Q: The marginal cost at a production level of x is given by c`(x)=85+375/x². find the cost of producing…

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Q: The marginal cost of producing the xth box of light bulbs is  7 − x/20000 and the fixed cost is…

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Q: Find the marginal average cost function if cost and revenue are given by C(x) = 167 + 6.1x and R(x)…

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

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Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x)=4x; R(x)=6x-0.001x^2

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Q: The marginal cost of a company is given by f'(x) = 3x + 2. Find the cost function, f (x), when the…

A: Marginal cost function is f'x=3x+2. Now cost function is, fx=∫f'x dx⇒fx=∫3x+2 dx⇒fx=3·x22+2x+C…

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

A: The solution of given problem is given as follows :

Q: The weekly marginal cost of producing x pairs of tennis shoes is given by…

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Q: 4. Given the cost function C(x) =120+12x Find the marginal average cost function.

A: We find the average cost function

Q: When no more than 110 units are produced, the cost (in dollars) of producing x units is given by…

A: Given: C(x)=0.2x3-25x2+1531x+25000

Q: The marginal cost of producing the  xthxth  PC is  C′(x)=10+(x^2/60000)  and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: The total cost (in dollars) of producing x coffee machines is C(x) = 2200 + 30x – 0.1x?. the exact…

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Q: The marginal cost of producing x tablet computer is c'(x)=140-0.04x+0.00002x^2. What is the cost of…

A: We have given The marginal cost: c'(x) = 140-0.04x+0.00002x^2.

Q: The weekly cost of producing x key chains is given by the function C(x) = 1800 + 33x + 0.15x². Find…

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Q: Q.3 (b) If the company has total costs C(x) = 15,000 + 35x + 0.1x² and total revenue function given…

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Q: Find the marginal profit function if cost and revenue are given by C(x)= 244 +0.2x and R(x)=…

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

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 157 +0.7x and R(x) = 8x…

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Q: The weekly cost of producing x jackets is given by the function C(x) = 1800 + 21x + 0.15x. Find the…

A: For the following problem,

Q: Consider the cost function C(x) = −x^3 + 10x^2 + 20x. Find the maximum of the average cost function.

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Q: Find the marginal average cost function if cost and revenue are given by C(x) = 173 +5.7x and R(x)=…

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where a…

A: Given : C(x) = 0.01x² - 3x + 229 and        R(x)  = 429 - 2x

Q: The weekly cost of producing x hats is given by the function C(x)=2800+26x+0.3x.  Find the marginal…

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

A: Given that the marginal cost function is Cx=0.01x2-3x+229 and a marginal revenue function is given…

Q: The marginal cost of producing the xth box of light bulbs is 9-x/30000 and the fixed cost is…

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Q: For the cost function C(x)=40+x-1/2x^2 find the marginal average cost when x=2

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Q: Find the marginal average cost function if cost and revenue are given by C(x) = 190 +3.6x and R(x) =…

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are​ built, the average cost per…

A:

Q: A factory selling cell phones has a marginal cost function C'(x)=0.01x^2-3x+229 where x represents…

A: