Suppose that the marginal-revenue function for a manufacturer's product is = 100 –², the marginal-cost function for a manufacturer's product is = q² – 7q + 50, and the manufacturer has fixed costs of $5765. dq

Q: Suppose a company's revenue function is given by R(q) C(q) sold/produced, while R(q) and C(q) are in…

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Q: The marginal cost function in a company is given by C' = 70 - 0.7x where x is the number of units…

A: Please see the below picture for detailed solution.

Q: Suppose that the dollar cost of producing x washing machines is c(x) = 2000 + 100x - 0.1x2. a. Find…

A: Consider the given cost function.

Q: Suppose the daily total cost (in dollars) of manufacturing x televisions is…

A: Given,      C(x)=0.0004x3-0.06x2+190x+7000                        ...(1)

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: 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: Assume that it costs a company approximately C(x) = 484,000 + 160x + 0.001x2 dollars to manufacture…

A: Here is the solution of the given problem. Average Cost Marginal cost

Q: Suppose a company's revenue function is given by R(q) = – q³ + 370q² and its cost function is given…

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Q: suppose a vedio game manufacturer has the total cost function C(x)=15x+4200 and the total revenue…

A: The cost function is C(x)=15x+4200 and the total revenue function is R(x)=25x where x represent the…

Q: If the marginal revenue function for a manufactures product is MR =10(1+Q)´; find the demand…

A: Given: MR=101+Q-2 To find out: Demand function (P)

Q: Suppose a company's revenue function is given by R(q)=−q^3+320q^2 and its cost function is given by…

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Q: Suppose that the fixed cost for a product is $360 and the break-even quantity is 60. Find the…

A: NOTE: Refresh your page if you can't see any equations. . let x=quantity  the variable cost is $a…

Q: The profit function for x units produced and sold is given by P(x) = -x2 + 48x - 210.  Determine the…

A: Find derivative of the polynomial with respect to x

Q: Suppose that the marginal-revenue function for a manufacturer's product is (dr/dq) = 100-(3/2)q2 ,…

A: Given,          The marginal-revenue function for a manufacturer's product is drdq=100-32q2,…

Q: Suppose that the total revenue function is given by R(x) = 47x and that the total cost function is…

A: Given data: The given revenue function is R(x)=47x. The given cost function is C(x)=70+29x+0.1x2.…

Q: The demand function for a product is given by P(x) = 80 -0.018x, where x is the number of units of…

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Q: A firm knows that its marginal cost for a product is MC = 3x+20, that its marginal revenue is MR =…

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Q: Suppose a company's revenue function is given by R(g) = - q° + 380q and its cost function is given…

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Q: The total cost of producing x calculators is given by C(x) =4000+10X+0.05x2. The revenue from…

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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: A company has a weekly marginal profit function given by P(x) = 31a – 0.38x2 - 261 dollars per item…

A: The marginal Profit function is given as follows. Px=31x-0.38x2-261 Marginal…

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: 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 the marginal revenue function of a firm r'(x) = 5+ 3x – x² and r (6) = 112, find the total…

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Q: Suppose that, in a monopoly situation, the equation is P (X) = 6-0.2 (4x-x ^ 2), where P (X) dollars…

A: Given that P(x)=6-0.24x-x2 P(x) is the price of X items. C(x)=2x+100 Where c(x) is the selling…

Q: If the profit is I = -0.2Q3 + 4Q² + 150Q – 100, what is the marginal profit when Q 10? %3D

A: Marginal profit is derivative of profit function .Suppose Px is the profit then P'(x) represent the…

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

A: To find the solutions

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

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Q: A company has found that the profit (in dollars) from the sale of x ovens is given byP(x) = −0.02x3…

A: we will calculate profit  from 55th oven sold .for this we will use different technique

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: Suppose that the cost in dollars) for a company to produce x items is C(x) = 15, 000 + 2x + 0.02x ^…

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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: 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: Suppose that the marginal cost to produce backpacks at a production level of x backpacks is 5x4 +…

A: Find the cost function

Q: Find the cost function if the marginal cost function is given by C'(x)-x173+7 and 8 units cost $83.…

A: Given marginal function is  And C(8)=83.

Q: The price-demand function for selling x Math audiobooks is given by p(x) = 532 −(1/2)x dollars,…

A: The solution is given below-

Q: Suppose that the dollar cost of producing x appliances is c(x) = 600 + 110x- 0.1x2 a. Find the…

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Q: Suppose for a company that produces x amount of articles, the function of the marginal cost is given…

A: Given that   C'(X)=15x^2 -360x + 3510

Q: A company determined that the price-demand and cost functions for selling x units of a certain…

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Q: supposed that a price-demand funtion P(x)=500-15x calculate marginal revenue function when x=10

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Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A: Given cost function is Cx=32,000+60x and revenue function is Rx=130x−0.001x2. We have to find…

Q: Suppose that the fixed cost for a product is $650 and the break-even quantity is 25. Find the…

A: Given :-  fixed cost $650  Break even quantity is $25   To find :- Marginal profit

Q: The cost (in rupees) of producing x pillows is given by x² + 20x + 500, while the price (in rupees)…

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Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A:

Q: Suppose that the dollar cost of producing x appliances is ​c(x)=1300+90x−0.3x2. a. Find the average…

A: Given ​c(x)=1300+90x−0.3x2 is cost of producing x appliances.

Q: Suppose that for a company manufacturing bluetooth and wireless neadsets, the cost and revenue…

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Q: Suppose a company's revenue function is given by R(q) = - q° + 300g² and its cost function is given…

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Q: Assume that it costs a company approximately C(x) = 441,000 + 160x + 0.001x2 dollars to manufacture…

A: Average cost is the mean value of the total cost Marginal cost is the value by which the cost tends…

Q: If the marginal revenue function for a manufacturer's product is dr = 2000 – 20q – 3q² dq Find the…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.