A lake is stocked with fish of a new variety. The size of the lake, the availablity of food, and the number of other fish restrict the growth of that type of fish in the lake to a limiting value of 4000. The 4000 populatio of fish in the lake after time t, in months, is given by the equation: P(t) = %3D 1+ 9e-0.008t

Q: Given MPC = 0.7Y+ 0.2 and C= 50 when Y = 0. What is the consumption function? %3D

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A:

Q: Find the absolute minimum value of the function g(x) = e*/(9x), x > 0.

A:

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

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Q: Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and…

A: solve the following

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A: It is given that the total weight x of all output is y=0.06x+0.0006x2 where x and y are in pounds.…

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: The average cost can be calculate as Average cost (AC) =Total CostNumber of units=CxTotal cost =0.06…

Q: In(ax) f(x) has a stationary point at Find a and b. bx 2' 3e,

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Q: A cell phone factory has a cost of production C(x) = 150x + 30,000 and a revenue function R(x) =…

A: Break even point is where total revenue equals total cost. Here total cost is given by…

Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

A:

Q: Find the value of x and y which satisfy 2x + 3y = 8 and whose product is a minimum.

A: To solve the following problem

Q: in an intramural basketball league for men, the gas 12-rizal has won 12 out of 25 games. express a…

A: they want to win 3 game in a row to meet 60% detailed solution with explanation is given below

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A:

Q: If g'(x) =-3x(x+2), then the graph of g(x) has a relative maximum at what value(s) of x?

A:

Q: Find the absolute minimum value of the function g(x) = e\/(5x), x > 0.

A: To find the absolute minimum value of the function gx=ex5x, x>0.

Q: Find the​ consumers' surplus if the demand function for a particular beverage is given by…

A: We are given the demand function for a particular beverage as: D(q) = p=30003q+72 The equilibrium…

Q: Consider the production function:           Y = 0.75X + 0.0042X2 – 0.000023X3 (a) At what level of…

A:

Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

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A:

Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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A:

Q: H4. Use the method of variation of parameters to find the general solution of dy -X- - 3y= 4x³. dr2

A: Please find attachment for the details solution

Q: Given the cost function C(x) = 5x - 11x + 13x +8, find the minimum marginal cost. %3D

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Q: Find the minimum value(s) of the function f(x) = e* – 2x

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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A: The given constraint: 50≤P1≤15050≤P2≤20050≤P3≤300 Where P1, P2, P3 are the loads of the generator…

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A:

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A: The profit function is given by,  P(x)=-.000001x3+.005x2-290x-80000.

Q: Use the IVT to show that e−x2 = x has a solution on (0, 1).

A: Given equation is

Q: Find the absolute minimum value of the function g(x) = e*/(5x), x > 0.

A:

Q: Y = 0.75X + 0.0042X2 – 0.00023x3 At what level of X, the output will be maximum?

A: Given: .

Q: | (1 – a*)dæ (1 — а?) а

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Q: Consider the production function:  Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output…

A: The given production function: y=0.75x+0.0042x2-0.000023x3  .......1 Differentiate both sides with…

Q: Find the values of constants a, b, and c so that the graph of y = (x2 + a)/(bx + c) has a local…

A: given

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A:

Q: The number of oil changes per hour at Quick Lube is described by the following short-term production…

A: answer is in next step .

Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

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A:

Q: Determine the general solution of y" - y = 0 given y₁(x) = e-2x using reduction of order

A:

Q: Consider the following total revenue function for a hammer. R = 60x − 0.01x2 (a) The sale of how…

A: a) Consider the given revenue function:

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A: Given Plugging t=5, Therefore the projected number of outsourced jobs for 2005 (t = 5) is 80…

Q: Find the absolute maximum and minimum values of f(x) = e * – 3x on [0,5].

A: f(x)=ex-3x Take derivative wrt to x f'(x)= ex-3

Q: Consider the following total revenue function for a hammer. R = 28x − 0.01x2 (a) The sale of how…

A: The given revenue function is Rx=28x-0.01x2. (a) It is known that the maximum value occurs at the…

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A:

Q: . A woman saved GH¢ 30,000 in a bank A, whose rate was x % per annum and GH¢ 20,000 in another bank…

A:

Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A:

Q: Consider the following total revenue function for a hammer. R = 36x – 0.01x² %3! (a) The sale of how…

A: Given Data: The total revenue function is: R=36x-0.01x2 (a) At maximum revenue, the derivative of…

Q: In a certain chemical manufacturing process, the daily weight y of defective chemical output depends…

A: First find the revenue and the cost then find the profit function by subtracting the revenue with…

Q: If 0 = KHLV-, where k is a constant, and there are possible errors of ±1 per cent in measuring H, L…

A: We will find out the required value.

Q: e demand x, and finc le of x clock radios. oduction level of 160

A: Marginal and Revenue function: (A) The price p and the demand x for a particular clock radio are…