A coffee production company stores its coffee beans in 60-kg sacks. The cost, in dollars, of producing r sacks of coffee beans is given by C(x) = 1200 + 3x-0.01a2 +0.0000723. 1. Find the marginal cost function.

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.005x° +0.07x + 15x +…

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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 total cost of producing x items is given by C(x) = 246.74 + | 3t dt- Find the fixed cost and the…

A: The given problem is solved below in detail.

Q: Find the marginal profit function if cost and revenue are given by C(x)= 158 + 0.9x and R(x)= 6x…

A: We have to find the marginal profit if cost and revenue are given by C(x)=158+0.9x and…

Q: Find the cost function if the marginal cost function is given by C'(x)=x1/3+9 and 8 units cost $129

A: Since the marginal cost function is the derivative of the cost function, the cost function must be…

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: Given the marginal-cost function 10e9 + 1.8q² – 1.4g + 6.5 and fixed cost 700, find the total-cost…

A: We know that, marginal cost function is the derivative of the total cost function. So by doing…

Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

A: We have to find  profit function from marginal profit ,initial condition are given as profit is 6900…

Q: Find the marginal cost function. C(x) = 160 + 2.4x – 0.01x² c'(x) =O

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 240 +0.6x and R(x) =…

A: Recall: Profit Function, P(x)=R(x)-C(x) ; where , C(x) is the cost function and R(x) is the Revenue…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 228 + 0.7x and R(x) = 4x –…

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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: The production costs per week for producing x night vision goggles is given by C (x) = 500 + 350a –…

A: Just I have used the given cost function and find its derivative at x =300 gives the required…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 255 + 0.3x and R(x) =…

A: Given: C(x)= 255+0.3x R(x)= 7x- 0.01x2

Q: Find the marginal profit function if cost and revenue are given by C(x) = 150 + 0.5x and R(x) = 2x -…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 154 + 0.3x and R(x) = 2x–…

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Q: A firm has the​ marginal-demand function D′(x)=−1200x25−x2​, where​ D(x) is the number of units…

A: Given that: Marginal-demand function = D'(x) = -1200x25-x2 Initial condition: D(4) = 16000 Find the…

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

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Q: Find the marginal cost function C(x) = 240 + 5.7x-0.04x2 C'(x) = O LC

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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: 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: For that cost function C(x)=40+x−1/2x2 find the marginal average cost when x=2.

A: Explanation of the answer is as follows

Q: Exercise 4. Suppose a publishing company has found that the marginal cost at a level of production…

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Q: Find the production level at which the marginal cost function starts to increase. C(q) = 0.001q3 -…

A: Given cost function is  Cq=0.001q3-0.69q2+466q+60000

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: It costs  $4829 to produce 1295 items and it costs 4849 to produce  1305 items. What is the…

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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: Find the marginal profit function if cost and revenue are given by C(x) = 170 +0.5x and R(x) = 2x -…

A: To differentiate a function we use the following differentiation rules: Sum rule Difference rule…

Q: Given the marginal-cost function 1.4q? – 2q + 6.5 and fixed cost 400, find the total-cost function.

A: Explanation of the answer is as follows

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: Find the marginal cost (MC) at Q = 10 given that the average cost function AC = +2 100 О а. 20 O b.3…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 194 + 0.1x and R(x)=…

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Q: the marginal cost function associated with producing x widgets is given by C'(x)= -0.02x+50 where…

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Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

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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: Given the marginal-cost function 10e9 + 1.8q² – 1.2q + 7.5 and fixed cost 500, find the total-cost…

A: The given marginal cost function is Mq=10eq+1.8q2-1.2q+7.5 and fixed cost T0=500

Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: Given: Cost function=Cx=184+0.3xRevenue function=Rx=4x-0.05x2 To find Marginal Profit function=P'(x)

Q: Find the cost function if the marginal cost function is given by C'(x) = x 1/3 + 2 and 27 units cost…

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Q: Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is as follows. C(x, y) =…

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Q: A company has a marginal cost of $21 per item and it can produce 190 items for a total cost of…

A: A company has a marginal cost of $21 per item and it can produce 190 items for a total cost of…

Q: A clothing manufacturer has the marginal revenue function MR(x)=30-0.2x, 0s xs 100 (in dollars per…

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Q: If the cost function for a certain item is C(x) = 2x + 7, what is the marginal cost for the 17th…

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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: Given the cost function c(x)=140 + 0.2x^2 for producing x item. Determine the marginal cost…

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Q: A company has a marginal revenue function, R'(q) = -4q + 40 where q is the quantity of products…

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Q: A small business determined that the price-demand and cost functions for producing and selling x…

A: We have to find the marginal profit.

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

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Q: Jel, The Collégiate Investigator, sells for 90¢ per copy. x) = 70 + 0.10x + 0.001x2 dollars. %3D

A: Given,

Q: Find the marginal profit function if cost and revenue are given by C(x)= 185 +0.3x and R(x) = 3x…

A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.