1. f(x) = (3x² – 5)(2x* – x) 2. y = (6x³)(7x*) 3. y = (3x2 -1)(x² + 5x + 2) %3D -

Q: 3. Find two positive numbers whose product is 100 and whose sum is a minimum.

A: Let the numbers be x,y According to question = x*y =100                     y = 100/x  Sum of…

Q: Find two positive integers such that their sum is 10 and maximize and minimize the sum of their…

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Q: If the total revenue function for a hammer is R = 36x-0.001x^2, then sales of how many hammers, x,…

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Q: A firm produces a product that has the production cost function C(x) = 300x + 14,100 and the revenue…

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

Q: .Suppose that a company produced and sold two types of products. If they sold monthly x, items of…

A: To determine the income if a company sold 32000 items of the first product and 55000 items of the…

Q: 15, Find a) fxedx b). dx using the substitution of x- cost.

A: We have to evaluate the integrals

Q: If the total cost function (in dollars) of a company that produces x number of portfolios per week…

A:

Q: Get the local extrema of x^5 - 5x^4 + 10x^3 - 10x^2 - 1

A: fx=x5-5x4+10x3-10x2-1 Differentiating with respect to x, we get…

Q: Suppose a company has fixed costs of $39,000 and variable costs of 1/3x^2 + 444 x dollars, where x…

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Q: Find the Break Even Point for the Firm whose cost function C and revenue function R are given.…

A: The given data is: Cost function is given as: Cx=13x+6000  Revenue function is given as: Rx=19x…

Q: A farmer wants to fence in an area of 1.5 million square feet in a rectangular field and then divide…

A: A farmer wants to fence in an area of 1.5 million square feet in a rectangular field and then divide…

Q: to sell 42 tick

A: Given as, Flight Capacity 40 Each ticket cost 4000 Flight Occupancy 95%

Q: Suppose the average costs of a mining operation depend on the number of machines used, and average…

A: The average cost function for a mining operation is C¯x=5x+3125x,  x≥0 where x is the number of…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A:

Q: A firm can produce 400 units per week. If its total cost function is C = 300 + 1400x dollars and its…

A: Given Data: The number of units produced per week is: n=400 units per week The total cost function…

Q: 9. Differentiate the function (use long method): y = xvx-1

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 4) Suppose the cost of producing x items is given by C(x) 4000 - x3 and the revenue made on the sale…

A: Consider the given question,The breakeven point occurs where profit is zero or when revenue equal to…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Data: Cost Function: C(x)=180x+12000 Revenue Function: R(x)=270x At break-even point the cost…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

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Q: Goes through (0, -2) and has a local maximum at (1, 3) f(x) = 5x² - 10x - 2 O B) f(x) = -5x² + 10x +…

A:

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

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Q: Forwarded Maximize z = 2x1 + 3x2 subject to 5x1 + 7x2 \leq35 4x1 + 9x2 \leq36 x1, x2 \geq 0 and…

A: Maximization of a linear programming problem is carried out to obtain a solution that follows all…

Q: 1. Find the critical points for f(x) = 3x5 – 20x3.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose we have 3 motors that need to be operated for (x) number of hours the present worth is…

A: Point of intersection of two straight line is the point at which the , and coordinate of both the…

Q: suppose that the selling price P of an item to the quantity x is given by  P=-1/4x +50.   0<or= x…

A:

Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: The marginal cost of producing the  xthxth  PC is  C′(x)=10+(x^2/60000)  and the fixed cost is…

A: We know the derivative of total cost gives us the marginal cost. The total cost is the sum of fixed…

Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³

A: Answer

Q: If the total cost function for producing x lamps is C(x) = 2160 + 32x + 0.6x2 dollars, producing…

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Q: Bioavailability is a term that refers to the fraction of an antibiotic dose taken orally that is…

A: Given problem:- Bioavailability is a term that refers to the fraction of an antibiotic dose taken…

Q: A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate…

A: Given savings rate is  S'x=60-4x                       (i) From eq. (i)…

Q: the area of the largest rectangle that can be drawn with one side along the x-axis and the two…

A: Given curve is y=e-x2. Here the curve is symmetric about origin. Consider the vertices of rectangle…

Q: A firm produces a product that has the production cost function C(x) = 420x + 6090 and the revenue…

A: Find your answer below

Q: How do I find the relative extrema of x3 - 27x?

A: To find the relative extrema of the below function. Relative extrema occur at the point where the…

Q: e 60x1 + 70x2 Subject to: 2x1 + x2

A: Given,   Maximize           60x1+70x2Subject to coinstraint:            2x1+x2≤300…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Cost function , C(x) =150x + 12,000Revenue function R(x) = 240x

Q: The fixed costs of a business for production of a particular item over a period are $1000 while the…

A: Solution:-

Q: A firm can produce only 3200 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Find the profit function P(x):

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find: How many weeks should the grower wait to maximise the sales revenue per tree.  Find the…

Q: Minimize F = 24x2 + 24y2 with xy2 = 16.

A: Minimize F = 24x2 + 24y2 with xy2 = 16.

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

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Q: suppose the profit from the sale of x units of a product is P=6400x-18x^2-400. what levels of…

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Q: The marginal profit from selling x chairs is P'(x)=-10x2 +100x+50 dollars per chair. There are no…

A: The marginal profit from selling x chairs is P'(x)=-10x2 +100x+50 dollars per chair. There are no…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given is the cost and revenue function. To compute the break-even point.

Q: If f(x)=x* and g(x)= x³, then f'(x) = 4x³ and g'(x) = 3x². The Chain Rule multiplies derivatives to…

A:

Q: A farmer wants to fence an area of 1.5 million square feet in a rectangula field and then divide it…

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Q: During the Covid-19 pandemic, the number of people that are infected at any time increases at a rate…

A: Solved below

Q: Suppose that c(x) = x³ – 20x2 + 20, 000x is the cost of manufacturing x items. Find the production…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Suppose x and y are positive integers such that the sum of x^2 and y is 10x. Find the values of x…

A: Given x^2+y=10x.From there find y.

Q: suppose a baby food company has determined that its total revenue R for its food is given by R =…

A: Given:       R = - x3 + 36x2 + 540x    R is measured in dollars and X is the number of units…