A firm in a competitive market must sell its product for $250 per unit. The cost unit (per month) is 50 + 2x ,where x represents the number of units sold per month. Find the marginal profit function if the production levels is 5 units.

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a…

A: Given that  the marginal cost for a product is  MC = 2x + 5   The Marginal cost is the derivative of…

Q: To produced x units of notebook, Aspen's notebook company finds its cost function as described by…

A: Given- Cx=30x2+400x+50. To Find- The marginal cost function and marginal cost function after…

Q: Suppose that the fixed cost for a prod- uct is $400 and the break-even quantity is 80. Find the…

A: Fixed cost of the product = $400⇒C(x)=ax+400Let us take the profit function as⇒P(x)= bx+cAnd the…

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

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Q: Joe runs a carwash stand and finds out quickly that for this business to breakeven he needs to wash…

A: The number of cars need to be wash is 10 and the washing price per car is $5.The total washing cost…

Q: Graph the marginal profit function for the profit function P(x) = 15x − 0.4x2 − 50, where P(x) is…

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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: 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: It costs $4800 to produce 1295 items and it costs $4830 to produce 1305 items. What is the…

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Q: A company can sell x units of a product when the price is p=D(x)=9.00−0.005x dollars. The total…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 224 + 0.8x and R(x) = 8x…

A: Marginal profit function is equal to the difference between marginal revenue and marginal cost…

Q: If a manufacturer's average-cost function is 8000 e/800+450 find the marginal cost function. What is…

A: manufacturer’s average-cost function is given  We need to find the marginal cost function. To get…

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: Assume that the situation can be expressed as a linear cost function.  Marginal cost is $25; 190…

A: GIVEN: Marginal cost = $25

Q: If the marginal cost for x items is C' (x) = 100 + e* and the fixed cost is $1500, determine the…

A: use the indefinite integral formula for finding 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: We have to find marginal cost function ,marginal cost at x=100 and cost at x=100.

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

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Q: Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a…

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Q: A manufacturer has determined that the marginal profit from the production and sale of x coffee…

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Q: If the marginal cost for a product is  MC = 6x + 5  and the production of 10 units results in a…

A: Given,           The marginal cost for a product is   MC = 6x + 5  and the production of 10 units…

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: The marginal cost of producing the xth box of DVDS is 11 + and the fixed cost is $100,000. Find the…

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Q: Find the cost function if the marginal cost function is C'(x) = 6x -7 and the fixed cost is $7.

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Q: Find the cost function for marginal cost function. C′(x)   =   x1/2;    16 units cost $45

A: Given :          C'(x) = x12 and 16 units cost $45.   To find the cost function.

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 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 marginal cost function for a company is given by C'(q) = – 13q + 70 dollars/unit, where q is the…

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Q: 9. If the cost of manufacturing x items is C(x) = x³ + 20x² + 90x + 15. Find the marginal cost…

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Q: If consumption is $6 billion when disposable income is $0, and if the marginal propensity to consume…

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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 the cost function is C(x)=2x + 550, and the revenue function is R(x)v = 15/2x. Find the…

A: Given query is to find the profit function and marginal profit function.

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: The marginal profit function for hard disks produced by the Elephant Media Company is given by 80x…

A: To find the solutions

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: 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: A company has a weekly marginal profit function given by P(a) = 39x- 0.36x2 - 206 dollars per item…

A: Sol:>  Given,            marginal Profit P(x) = 39 (x) - 0.36 x2 - 206 .            Profit  =>…

Q: Graph the marginal profit function for the profit function P(x) = 15x − 0.4x2 − 50, where P(x) is…

A: \

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the marginal cost for a…

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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)=…

A: We can make it easier for you

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

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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: 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: 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 manufacturer has determined that the marginal profit from the production and sale of x ice cream…

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Q: If the marginal profit is P'(x)=x^3-2x+100 and the profit for selling 10 items is $2000, determine…

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Q: If the revenue function for selling q Widgets is R(q) = q · (1322 – 2q) dollars, find the marginal…

A: Given : R(q)=q(1322-2q)R(q)=1322q-2q2 To find out marginal revenue function , we need to take…

Q: If the marginal cost for a product is  MC = 2x + 80 and the total cost of producing 15 units is…

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