Producing x footballs costs C(x) = 2.5x +500. If each football sells for $22.50, determine the break-even quantity

Q: the monthly profit from the sale of a product is given by P=24x-0.2^2-150 what level of production…

A: the monthly profit from the sale of a product is given by  P=24x-0.2x2-150P=-0.2x2+24x-150 To find…

Q: If Q(x) = x³ – 25x + 100 is the cost per item of producing x-items. Is the cost per item increasing…

A: Differentiate Q(x) w.r.t x to find the derivative for the function Q(x). The slope for function at…

Q: Find the number of units sold that yields a maximum annual revenue for a sporting goods…

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Q: The monthly profit from the sale of x units of a product is: P = 80x - 0.02x^2 - 15,000 dollars a)…

A: Th monthly profit from the sale of  x  units of a product isP=80x-0.02x2-15000 dollarsIf  f  is a…

Q: The monthly profit from the sale of a product is given by P = 18x − 0.1x2 − 50 dollars. (a) What…

A: given: The monthly profit from the sale of a product is given by P = 18x -0.1x2−50 . to find: a. the…

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x - 0.2x2 . The…

A: Since you have posted a multiple subpart problem, we solve only the first three subparts for you .To…

Q: For a certain company the cost for producing x items is 40x + 300 and the revenue for selling x…

A: Given query is to find the value of x which gives profit of 300.

Q: The cost, in dollars, to produce xvats of ice cream is C(x)=x+10  When selling them to ice cream…

A: To determine the maximum profit of ice cream.

Q: A stuffed animal business has a total cost of production C=12x+68 and a revenue function R=36x,…

A: The break-even point is the point at which both the total cost function and the revenue function be…

Q: Find the number of units x that produces a maximum revenue R. R = 51x2 – 0.02x³ X = units

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Q: The total profit P(x) (in thousands of​ dollars) from the sale of x hundred thousand pillows is…

A: Given the profit function is : P(x)=-x3+12x2+144x-200. For maximum profit P'(x)=0. Because it will…

Q: Find the maximum revenue for the revenue function  R(x) = 373x − 0.9x2.  (Round your answer to the…

A: Maximum revenue will be 38647.72 $ Explanation is given below

Q: Find the profit function if cost and revenue are given by C(x) = 186 + 5.6x and R(x) = 4x - 0.02x…

A: Given :

Q: Find the profit function if cost and revenue are given by C(x)= 155+1.5x and R(x) = 7x-0.09x. The…

A: This is a basic calculus problem

Q: The total sales of a company that manufactures printers when $x thousand is spent on advertising is…

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Q: Q2 (b) if the profit function for a product is P (x) = 5600x + 85 x - x' - 200,000 dollars, selling…

A:

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x +0.75x², where C is…

A: To find out the production units required to yield minimum cost.

Q: A firm can produce 500 units per week. If its total cost function is C = 600 + 1200x dollars and its…

A: Explained below...

Q: Thando furniture manufacturer, determines that in order to sell x chairs, the price per chair in…

A:

Q: The average cost per unit C (x) to produce x units of wood panels is given by C (x) = 1,200 / x +40.…

A: The average cost per unit is . Hence, the cost for x units is  .

Q: 3 The profit P (in dollars) for a company that produces antivirus and system utilities software is…

A:

Q: The company’s revenue is x•(6,228-9x). Find the price x that will maximize the company’s revenue.

A:

Q: 5. The profit function for a business is given by the equation P(x) = -3x2 + 24x – 45, where x is…

A: Given that

Q: A frozen yogurt stand makes a profit of P(x) = .40x - 80 dollars when selling x scoops of yogurt per…

A: The profit when selling x scoops of yogurt per day is modeled by the function, Px=0.4x-80. The…

Q: The annual total revenue for a product is given by R(x) = 10,000x – 5x2 dollars, where x is the…

A:

Q: The total sales of a company that manufactures printers when $x thousand is spent on advertising is…

A:

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x) = 75x – 0.2x². The…

A: The monthly revenue R achieved by selling x wristwatches to be R(x)=75x-0.2x2The monthly cost of…

Q: 8. The profit P(in hundreds of dollars) that a company makes depends on the amount x (in hundreds of…

A: Given: The given function is P=230+20x-0.5x2. where x is the expenditure made by the company. The…

Q: An international organization must decide how to spend the $2,200,000 they have been allotted for…

A:

Q: A company's revenue from selling x units of an item is given as R = 1600x – A 2x2. If sales are…

A: The rate of increase of revenue will be the first derivative of the revenue function w.r.t time.

Q: A jewelry maker has total revenue for her bracelets given by R= 89.75x and incurs a total cost of C=…

A: The level of production for which the cost and the revenue are equal is called break even point.

Q: Find the number of units x that produces a maximum revenue R. R = 78x2 − 0.04x3   x=           units

A:

Q: If the profit function for a product is P(x) = 5600x + 85x^2 − x^3 − 160,000 dollars, selling how…

A:

Q: Find the number of units x that produces a maximum revenue R. R = 66x2 − 0.04x3

A: Explanation and solutions is given below....

Q: The monthly revenue R achieved by selling x wristwatches is figured to be R(x)=75x−0.2x2.   The…

A: As per bartleby guidelines we only give first three questions answers.

Q: ShipMaters finds that the numbers of orders it can fill per day when x people are employed at its…

A:

Q: Find the number of units x that produces a maximum revenue R. R = 33x2 − 0.02x3 x = _____ units

A: Given R=33x2-0.02x3         Here we find the number of units x that produces        a maximum…

Q: 3. A manufacturer estimates the monthly cost to produce x items is C(x) = 1000 + 10x – 0.02x²…

A: The cost of producing x item is given by the function is: C(x)=1000+10x-0.02x2

Q: The total cost of production of x units of a product is given by C = x2 - 50x + 725 Find the level…

A:

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A: Given that: P(x)=32x-0.2x2-200

Q: The cost of controlling emissions at a firm is given by C(q) = 5,000 + 100g?, where q is the…

A:

Q: Find the number of units x that produces a maximum revenue R. R = 117x2 − 0.06x3 x =…

A: The revenue function is given by,

Q: YOUR TURN 4 Suppose the revenue in dollars is given by R(x) = -x + 40x and the cost is given by C(x)…

A: Given, R(x)=-x2+40x,  C(x)=8x+192 (a) break-even quantity when R(x)=C(x) -x2+40x=8x+192x2-32x+192=0…

Q: The profit for a product is given by P = 1600 – 100x + x² , where x is the number of units produced…

A: P = 1600-100x +x2a) for minimum profit dPdx =0dPdx= -100+2x = 0        dPdx<0 till   x = 50⇒x =…

Q: The cost, `C`, in dollars to hire pavers to pave the parking lot at a shopping mall can be modelled…

A: This question can be solved using the concept of maxima and minima.

Q: The weekly cost C of producing x units in a manufacturing process is given by C(x) = 60x + 1500.…

A: Given cost function is  C(x)=60x+1500 Number of units produced in t hours is given by x(t)=50t

Q: the profit for a product is given by P(x) = -15x^2+1500x-24,000, where x is the number of units…

A:

Q: The total profit P(x) (in thousands of​ dollars) from the sale of x hundred thousand pillows is…

A:

Q: Find the number of units x that produces a maximum revenue R. R = 114x? – 0.04x³ X = units

A: