12. If a firm's profit function is T = f(Q) and the level of output, Q, varies between a and b units, then the firm's average profit is given by f(Q)dQ b 100(1 – e-0.1º), TC = 0.1Q² + 2Q + 1 and Calculate a firm’s average profit when TR = output varies from 3 to 8 units.

Q: 9) Suppose that the total cost of manufacturing x units of a certain commodity is C (x) = 2x? + 6x +…

A: Given function is as below : C(x)=2x2+6x+12 Marginal cost can be given by Derivative of C(x) .…

Q: 16. Suppose the radius r, height h, and volume V of a dh related to dt dV cylinder are functions of…

A: Given: A cylinder with radius, r and height, h. The formula for the volume (V) of the cylinder is…

Q: Suppose that the marginal propensity to save is ds = 0.3 – dy (in billions of dollars) V 9y + 6 and…

A: Solution

Q: 28. Find the critical points of f(x) = x3 – 3x2 - 3. а. (0,—3)аnd (2, -7) b. (0,3)and( 2,7) c. (0,2…

A:

Q: a) Show that if y = V1 + sin x then =: %3D b) A manufacturer estimates that x units of a particular…

A: NOTE: Refresh your page if you can't see any equations. . the demand function is  the revenue…

Q: Consider a competitive market in which price adjusts to excess demand or supply and firms enter and…

A: dpdt=0.5(qD-qS)qD=30-2p  and qS=2Ndpdt=0.530-2p-2N=15-p-3N   ...(i)dNdt=54(p-10)…

Q: The Technolozic Corporation has determined that its marginal cost function is given by C'(t) =…

A:

Q: If the utility depends only on the consumption of x and u (x) = ( 2a¯i + 3) (-4xi +2), is Marginal…

A: Given u(x) = 2x-12 + 3-4x14 + 2

Q: 1 1 LGt-5- At²est + Ceisinh Dt = [(s – 1)3 ' s² + 2s – 5]

A:

Q: Use implicit differentiation to find dy dx when x = 1 if x + xy + y2 = x3y2.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: Suppose that the marginal propensity to save is SP = 0.1 - dy (in billions of dollars) 7y + 2 and…

A: Given: The marginal propensity is The consumption is $ 7 billion and the disposable income is $ 0

Q: the demand function for a particular beverage is given by D(q)=(3000)/((3q+2)^(2)) and if the supply…

A:

Q: Assume that it costs a company approximately C(x) = 625,000 + 160x + 0.001x² dollars to manufacture…

A: Let's find.

Q: A manufacturer incurs the following costs in producing x water ski vests in one day, for 0<x< 175:…

A: Given : The manufacturing cost of x vest in one day is given by  C (x) = 0.05 x2 + 25 x + 500 ,…

Q: 1. e-st cosh t dt 2x +4 2. 2x2 + 21x + 34

A:

Q: This question involves partial differentiation. That is differentiating with respect to one variable…

A:

Q: A manufacturer has discovered that if x units of a certain item are produced per week, the marginal…

A: To find: The maximum weekly profit that can be made by producing x units of that item. Given…

Q: There is a tank in the shape of a paraboloid:   Water is being pumped into the tank at a constant…

A: Water is being pumped into the tank at a constant rate of 2π cubic inches per minute. If y denotes…

Q: If a firm's marginal cost function is given by dc 0.1gq² + 100, dq %3D and the firm's output…

A:

Q: (d) The GoldPlus Company determines that the marginal cost for their Aiibe 64GB flash drive is given…

A: Given that : Marginal Cost Function is : dCdx=-0.02x+6. We can achieve Total cost function by…

Q: The marginal cost of the xth box of light bulbs is  10 +  [ln(x + 1)] (x + 1)2,  and the fixed cost…

A:

Q: A particle moves along the x-axis so that it’s position at any time t≥0 is given by…

A:

Q: Suppose that the marginal propensity to save is ds = 0.93 dy In(y + 1) (in billions of dollars) y +…

A:

Q: Consider the Cobb-Douglas production function f(x, y) = 100x1/3y2/3 where x is the number of units…

A:

Q: a cost function is given by c(x)=200e^-0.5x. Calculate teh marginal cost when x=3

A:

Q: A manufacturer incurs the following costs in producing x water ski vests in one​ day, for 0<x<200​:…

A: =&gt;c(x)=0.05x^2+15x+245 =&gt;c(x)=0.05x+15+245/x

Q: Assume that the dynamics of caffeine absorption are given by Ct+1 = 0.87Ct , where t is time in…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  compare this…

Q: Suppose that the total cost (in dollars) of producing a product is C(x, y) = 15 + 3x2 + 5y2, where…

A: C(x, y) = 15 + 3x2 + 5y2, x is the cost per pound for material and  y is the cost per hour for…

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: Suppose that the amount of energy (x, y, z) emanating from a source at (0, 0, 0) is inversely…

A: a)  The energy function is proportional to z And, it is inversely proportional to 11+x2+y2    So,…

Q: 2. The BrenKev Corporation has determined that its marginal profit function is given by P'(t) =…

A:

Q: Given two inputs X1 and X2 with prices W1 and W2 respectively and a production function Y=f(X1,X2),…

A:

Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

A:

Q: Suppose that the marginal propensity to save is ds = 0.3 - dy (in billions of dollars) V 9y + 6 and…

A:

Q: 4-5

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: The Strikers Technologies Company determines that the marginal cost for their MaxiPak flash disks is…

A: The Strikers Technologies Company determines that the marginal cost for their MaxiPak flash disks is…

Q: Consider a competitive market in which price adjusts to excess demand or supply and firms enter and…

A: given that                                                 dpdt=0.5qD-qs where qD is demand…

Q: determine the coefficients of the equation y=ax^3+bx^2+cx+d so that will have a slope of 9 at…

A: The equation y=ax3+bx2+cx+d so that will have a slope of 9 at (-1,-4),a critical point at x=2, and a…

Q: 16. If x x y and y x z, then how is x proportionally related to z?

A:

Q: s(x,y)=ex^2+y^2 How do I find the critical point of this function.

A:

Q: If X has hazard rate function Ax(t), compute the hazard rate function of aX where a is a positive…

A: 8) We know that if F(x) is the cumulative distribution function of random variable X  Than…

Q: Suppose that the marginal propensity to save is ds = 0.95 - dy In(y + 1) (in billions of dollars) y…

A: According to question given :dSdy=0.95-lny+1y+1Consumption is $6.03 when disposable income is $0

Q: Consider a poputation Piti satistying the extinction expiosion equation-ap - bP. where B= aPis the…

A: Given- Consider a population Pt satisfyinf the extinction explosion equation dPdt = aP2 - bP, where…

Q: A company determines that its marginal revenue, R', of selling the xth unit of its product is given…

A:

Q: a.) What is the average cost C(x) per vest if x vests are produced in one​ day?   b.) Find the…

A: The average of a function over a specified interval is the integral of the function on that interval…

Q: If the total cost function is given by TC=300+5q+(3)/(q2), what is the marginal cost when q=3?

A:

Q: The marginal revenue and marginal cost functions of a campany are given by R'(q) = 300 – 10Vā and C…

A:

Q: (a) A manufacturer's marginal revenue function is: * = 25 – q – 0.3q³. If r is in omani rials, find…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.