The marginal cost of a product, in dollars per unit, is C'(q) = q? – 50q + 700. If fixed costs are $5000, find the total cost to produce 50 items. Select one: $14167 $24167 $500 $19167

Q: The cost of producing 5-galln water bottles is given by c(q)=0.005q2 +2q+1000 If 2000 5-gallon water…

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Q: (a) The marginal revenue of a company is given by MR = 100 + 20Q + 3Q2 , where Q is amount of units…

A: We can find TR(total revenue) by integrating MR(marginal revenue) with respect to Q(price).

Q: Q6. The price received from sales in OMR per unit is given by p =x² +x+1. i. the revenue function,…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: If the instantaneous rate of change of f(x) at (8, −7) is 9, write the equation of the line tangent…

A: It's given that the instantaneous rate of change  of  f(x) at  (8,-7) is 9 . We have to find the…

Q: Find the indicated marginal cost at the given production level. dc ,x=40, y= 10 dy c= 9x+0.7y+2y +…

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Q: (a) What is the marginal cost when r = 25 and r = 70? S %3D

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Q: The marginal average cost function is given below. 4, 000, 000 AC (#): %3D Where AC(r) is the…

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Q: Consider a company that has fixed costs of $8,300 and a marginal cost of $28 per item. What is the…

A: A company that has a fixed costs of $8,300 and a marginal cost of $28 per item.

Q: What is the slope of the tangent line that touches the graph of In(y) +e-=3y– 4x at the point A В) з…

A: slope , m=dydx.

Q: Suppose that the marginal revenue for a product is given by -50 MR + 50 (2x + 1)2 where x is the…

A: Given: Marginal revenue for a product is given as, MR=-502x+12+50 The objective is to find the total…

Q: d. Find the slope of the tangent line to the graph of x +y + xy 3 at (1, 1).

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Q: (a) A manufacturer's marginal revenue function is: dr 100 + 50g – 3q². If r is in omani rials, find…

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Q: If the instantaneous rate of change of f(x) at (4, −9) is 8, write the equation of the line tangent…

A: From the given statement, the rate of change of f(x) at (4, –9) is 8.That is,  f′(x) = 8.

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by dC 675…

A: Given Data The equation of the marginal cost is dC//dx=675-0.5x.   Integrate the equation of…

Q: Find the marginal profit for producing x units. P = -0.15x2 + 8000x – 1,050,000 dP dollars per unit…

A: Given: Differentiate ‘P’ with respect to ‘x’

Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: Find the slope of the tangent to the graph of fAx) = x + 3x + x at its point of inflection. O a) -3…

A: SOLUTION-

Q: A company has a weekly marginal profit function given by P'(x) = 40x – 0.38a? – 251 dollars per item…

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Q: A RI) doliars is the total revenue from the sale of x television sets. Rx} = 600 x- Find the 20…

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Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 90x – 0.5æ2…

A: A detailed solution is given below

Q: A​ company's total​ cost, in millions of​ dollars, is given by ​C(t)=120−30e^−t where t=time in…

A: Given that, the company's total cost function isCt=120-30e-t. and t represents time in years.  In…

Q: osts per week for producing z night vision goggles is given by C (x) = 50 %3D roducing the 301st…

A: We have to choose the correct answer from the given options according to the given information

Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 9e.0x, What…

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Q: If f(x) describes the position of an object over time, what is the average velocity on the interval…

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Q: The total revenue, R, in dollars when selling q items is R(q) = In(1 + 1000q²). %3D Calculate and…

A: In this question we have to find marginal revenue.

Q: Use the following data to calculate the R.L of various stations pegs on a vertical curve connecting…

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Q: The marginal revenue for x units of a product is given by R' (x) = 22 – 0.81nx dollars per unit,…

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Q: Suppose that the marginal revenue from the sale of x units of a product is  MR = R'(x) = 5e0.01x.…

A: Given MR = R'(x)= 5e0.01 x∴ Revenue R(x) = ∫x1x25e0.01 x dx⇒R(x) = 5∫0100e0.01 x dx

Q: Find the marginal cost for producing x units. ( C = 100(9 + 3/x) dC dollars per unit dx II

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Q: Find the marginal cost for producing x units. C = 245,000 + 9700x dC dollars per unit %3D dx

A: Marginal Cost: The marginal cost is the derivative of the cost function. If the cost function is…

Q: Suppose that the marginal revenue for a product is given by -50 + 50 (2x + 1)2 MR where x is the…

A: Given the marginal revenue for a product is given byMR=-50(2x+1)2+50where x is the number of…

Q: The resear dh depart ment of determined that hard ware chain has 9, store the marginal price of one…

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Q: The marginal revenue of a company is given by R'(x) = 100 + 20x + 3x2, %3D where x is amount of…

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Q: Because the devative of a function represents both the slope of the tangent to the curve and the…

A: Rate of change of f(x)=derivative of f(x) with respect to x Slope=f'(x) Rete of change of f(x)=0…

Q: The weekly marginal revenue from the sale of r pairs of tennis shoes is given by 100 R'(x) = 40 –…

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Q: The marginal revenue of the xth box of flash cards sold is 400e-0.003x dollars per box. Find the…

A: Given that the marginal revenue of the x-th box of flash cards sold is 400e-0.003x dollars per box.…

Q: For the given cost function C(z) = 14400+ 600z + find: %3D a) The production level that will…

A: The average cost function is A(x)=C(x)/x.

Q: The marginal revenue for x units of a product is given by R' (x) = 35 – 0.2lnx dollars per unit,…

A: Given : R'(x) = 35-0.2lnxR1 = $35.20

Q: a) The marginal revenue of a company is given by MR = 100 + 20Q + 3Q2 where Q is the amount of units…

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Q: If the instantaneous rate of change of f(x) at (9, -7) is 6, write the equation of the line tangent…

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Q: For f(x)=x^3​, the instantaneous rate of change is known to be 27  at x=3. Find the equation of…

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Q: Suppse that your marginal revenue function is MR(q) = 20e9 %3D Find the revenue function R(q).

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Q: The slope of the tangent line to the graph of the function y = 5/T – 4 at (16, 16) is , O -1.50 O…

A: We have to find the slope

Q: Find the slope of the tangent line to the cerve, x-xy°+Iny= 24 at the point C3,2)

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Q: The cost of producing 5-gallon water bottles is given byC(q) = 0.005q2 + 2q + 1000.If 2000 5-gallon…

A: Average marginal cost is the ratio of marginal cost and q

Q: Suppose a product's revenue function is given by R(q) = – 2q² + 400q, where R(q) is in dollars and q…

A: given Revenue functionR(q)=-2q2+400qmarginal revenue is the derivative of revenue function

Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

A: Marginal revenue = R ' ( x )  marginal revenue MR is defined as change in total revenue with respect…

Q: If the instantaneous rate of change of f(x) at (6, −8) is 4, write the equation of the line tangent…

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Q: Suppose that the marginal revenue from the sale of x units of a product is  MR = R'(x) = 5e0.01x.…

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