A perfectly competitive firm maximizes its profits when it produces 1000 units. It charges $1.50 per unit and has average (total) cost of $1 per unit. When this firm produces 1000 units, its marginal cost must be $

Q: (1) If the total cost of a firm is C(x)=1.5x' – 5x² + 20x+5. Find the marginal cost (in dollars)…

A: Since you have posted multiple questions and we can answer one question. So answered question number…

Q: If two companies have the same marginal cost, is their total cost always/sometimes/never the same?…

A: Given: If two companies have the same marginal cost. Marginal cost: The marginal is the change in…

Q: Find a company's total-cost function if its marginal cost function is C'(x)=5x2-7x+4 and C(6) = 260.…

A: The marginal cost function is the derivative of the total cost function.

Q: Solve the problem. 23) Find a company's total-cost function if its marginal cost function is C'(x) =…

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Q: Find the cost function if the marginal cost function is C'(x) = 12x-5 and the fixed cost is $10.…

A: Cost function is calculated by integrating marginal cost function. Using the given fixed cost, the…

Q: Suppose a company manufactures MP3 players and sells them to retailers for $98 each. It has fixed…

A: Topic:- cost and marginal function

Q: a cereal company has a cost unit function of C(x)=-1/4x^2+12x+100. what is the marginal cost of…

A: Marginal cost  function is the derivative of the cost function.In this problem we have to find the…

Q: Find the cost function if the marginal cost function is given by C'(x) = x3 +4 and 27 units cost…

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Q: C(x)=(5/2)x^2+90x+720 approximates the dollar cost of producing x units of a product. The…

A: Given cost function c(x)   Marginal cost function= d/dx (c(x))

Q: Suppose that the cost (in dollars) for a company to produce x pairs of a new line of jeans is C(x) =…

A: Explanation of the solution is given below...

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 if the marginal cost function is C'(x) = 12x - 5 and the fixed cost is $8.…

A: If marginal cost function isC'(x)=12x-5Then cost function is given by C(x)=∫C'(x) dxC(x)=∫12x-5…

Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

A: We have to find marginal cost function ,marginal cost at x=100 and cost at x=100.

Q: Suppose that the total cost in dollars of producing x thousand units of a product is given by C(x) =…

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Q: find the linear cost function for an item with marginal cost of $120, and it costs 96,500 to produce…

A: Find the linear cost function for an item with marginal cost of $120, and it costs 96,500 to produce…

Q: Given Cost and Revenue functions C(q)=q^3−10q^2+58q and R(q)=−3q^2+2400q​, what is the minimum…

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Q: A firm knows that its marginal cost for a product is overline MC =2x+15 , that its marginal revenue…

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Q: If the marginal cost for a product is MC = 4x + 20 and the total cost of producing 15 units is…

A: Given,           The marginal cost for a product is MC¯=4x+20 and the total cost of producing 15…

Q: Find the cost function if the marginal cost function is C'(x) = 3x - 4 and the fixed cost is $8. ...…

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Q: Find the cost function if the marginal cost function is C'(x) = 6x - 4 and the fixed cost is $11.…

A: Given  C'(x)=6x-4 To find C(x) we take integral of C'(x)  ∫C'(x) dx=∫6x-4 dxC(x)= 6x22-4x+cwhere c…

Q: Find the cost function if the marginal cost function is C'(x) = 9x - 6 and the fixed cost is $11.…

A: We have to find the cost function

Q: The marginal revenue function of a company is MR = 6x2 – 40x +50, then the %3D | demand function is…

A: Marginal revenue is increase in revenue generated as a result of sale of one extra unit.

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

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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: The marginal cost function for a company is given by C'(q)=q^2-14q+70dollars/units, where q is the…

A: Given C'(q)=q2-14q+70 and  C(0)=700

Q: If C(x) = 3000 + 10x - x2 then find the marginal average cost function C'ave (x) C'ave (x) = 10 – 2x…

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Q: Find the cost function if the marginal cost function is C'(x) = 9x- 4 and the fixed cost is $6.…

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Q: Find the cost function if the marginal cost function is C'(x) = 6x – 5 and the fixed cost is $6. ..…

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Q: . If the profit for a product is given by P(x) = 20Vx +1– 22x – 22 thousand dollars, what is the…

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Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =…

A:

Q: If the total cost of a firm is C(x) = 1.5x3 - 5x2 + 20x + 5. Find the marginal cost (in Dollars)…

A: Given that,the total cost of a firm is Cx=1.5x3-5x2+20x+5We need to compute the marginal cost in…

Q: (1) If the total cost of a firm is C(x)=1.5x – 5x + 20x+5. Find the marginal cost (in dollars) when…

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Q: Suppose that for x > 1000, the dollar cost of producing x video cam- eras is C(x) = 500x – 0.003x² +…

A: given that C(x)=500x-0.003x2+10-8x3

Q: (1) If the total cost of a firm is C(x) =1.5x² – 5x² + 20x +5. Find the marginal cost (in dollars)…

A:

Q: A company's marginal cost function is  MC = 10x3/2 − 25x2/3 + 1,  where x is the number of units,…

A: MC=10x32-25x23+1 to find the total cost function takes integration  C=∫10x32-25x23+1dx C=∫ 10x32dx-∫…

Q: Find the total cost of producing x items if fixed costs are $500 and marginal cost is 6x MC= 10+ x2…

A: We know that marginal cost function is the derivative of the total cost function, so the total cost…

Q: A company's marginal cost function is MC = 28x4/3 - 14x3/4 + 1, where x is the number of units, and…

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Q: If the marginal cost for a product is  MC = 6x + 7  and the production of 10 units results in a…

A: The marginal cost function is obtained by taking the derivative of the total cost function with…

Q: Suppose the dollar cost of producing x video cameras is C(x) = 500x − 0.009x2 + 10−8x3. Estimate the…

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Q: If the total cost of a firm is C(x)=1.5x3-5x2+20x+5; find the marginal cost (in dollars)  when 25…

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Q: At a baseball stadium, souvenir hats are sold at two locations. Ifx1andx2are the numbers of baseball…

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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: Find the cost function if the marginal cost function is C'(x) = 12x – 4 and the fixed cost is $9.…

A: We are given the marginal cost function: C'(x) = 12x - 4 we need to find the cost function. This can…

Q: Given that the marginal cost function is C'(x) = 6x -15  and the total cost to produce the first 10…

A: The antiderivative of the marginal cost function is known as cost function Thus, Cx=∫C'xdx=∫6x-15dx

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: Consider the cost function C(x) C(x)=1,000+αx+14x2, where x is the number of product units. If the…

A: use differentiation for finding the value of alpha

Q: If the marginal cost for a product is  MC = 4x + 30  and the total cost of producing 30 units is…

A: Consider the given marginal cost function: Here the objective is to find the cost function and cost…

Q: If a total cost function is C(x) = .0001x3 − .06x2 + 12x + 100, is the marginal cost increasing,…

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Q: 31) Find a company's total-cost function if its marginal cost function is C'(x)=5x2-7x+4 and C(6)=…

A: Marginal cost function of a company is given is , C'(x) = 5x2 - 7x + 4  Also C(6) = 260 We have to…

Q: ) If C(x) is the cost of producing r units of a commodity, then the average cost per unit is C(x)…

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