The monthly profit from the sale of a product is given by P = 18x − 0.1x2 − 50 dollars. (a) What level of production maximizes profit? (b) What is the maximum possible profit?

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: A company has average monthly costs, in dollars, given by: C ̂ = 45000 / x + 100 + x Where x is the…

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Q: A small manufacturing company can sell all the items it produces at a price of $ 5 each. The cost to…

A: Based on given data detailed solution is provided

Q: 2A. Dominique clothing line can produce a maximum of 4800 dresses in a year. If it sells x dresses…

A:

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: A piece of cardboard measuring 11 inches by 13 inches is formed into an open-top box by cutting…

A: Given query is to find volume of the box and the value of x for which volume is maximum.

Q: Suppose a baby food complany has determined that its total revenue R for its food is given by…

A: Total revenue R for baby food is R=-x3+63x2+1200x where R is measured in dollars and x is the number…

Q: If the total cost function for producing x lamps is C(x) = 270 + 39x + 0.3x2 dollars, producing how…

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Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

Q: The monthly profit from the sale of x units of a product is P = 80x-0.042-12000 dollars. (a) What…

A: Here is the solution of the given problem. Maximum Profit Function.

Q: What production level will yield a maximum revenue?

A: R=−x^3+30x^2+900x   To maximize R, find dR/dx and set to 0 : dR/dx = -3x² + 60x + 900 0 = -3x² + 60x…

Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

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Q: The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is…

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Q: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

A:

Q: Mr. Camu wants to enclose his vegetable garden at the back of his estate with a fence on 3 sides. He…

A: Since Mr. Camu has 30m of fencing. As he wants to enclose his vegetable garden with a fence on 3…

Q: A piece of cardboard measuring 12 inches by 13 inches is formed into an open-top box by cutting…

A:

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

A: To find the following parts, 1). The number of pillows that must be sold to maximize the profit. 2).…

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily total…

A: Given that Cx=100,000+50x+0.0025x2. And according to the given information Rx=100x And 0≤x≤7000 a We…

Q: A fertilizer producer finds that it can sell its product at a price of p = 2500 – 0.5x dollars per…

A: Given that p=2500-0.5x

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: A fertilizer producer finds that it can sell its product at a price of p = 2500-0.5x dollars per…

A: Given: p = 2500 - 0.5x  C(x) = 75000+625x+0.125x2

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

A:

Q: A firm can produce 100 units per week. If its total cost function is C = 200 + 1400xdollars and its…

A: In this question given that c(x) = 200 + 1400x. And R(x) = 1500x - x2 . And we find maximum profit.…

Q: The total cost of producing a type of car is given by C(x) = 12000 – 10x + 0.05x², where x is the…

A: We need to find x where C(x) is minimum.

Q: A piece of cardboard measuring 13 inches by 12 inches is formed into an open-top box by cutting…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 500 – 0.1x dollars per…

A: Given:       Price p=500-0.1x      Revenue =price times quantity sold         R(x)=500x-0.1x2  cost…

Q: The average daily costs, in dollars, of a large corporation with monopoly control in the market, are…

A:

Q: The cost function for producing x items is C(x) =30,000 + 150x -0.10x2 The revenue function is…

A: Profit=Revenue-CostP(x)=R(x)-C(x)P(x)=800x -0.6x2-30,000 + 150x -0.10x2P(x)=800x -0.6x2-30,000 -…

Q: A company can produce a maximum of 25 widgets in a day. If they sell x widgets during the day then…

A: Above question is solved.

Q: A fertilizer producer finds that it can sell its product at a price of p = 3500 – 0.7x dollars per…

A: Given that the selling price per unit is, p=3,500-0.7x dollars. The total production cost is,…

Q: The annual total revenue for a wis given by R(x)=24,000x-6x^2 dollars, where x is the number of…

A: To find maximum no of units sold. Also to find maximum possible annual revenue.

Q: 1. The profit of a cell-phone manufacturer is found by the function y= -2x+108x+75 where x is the…

A:

Q: manager sells 75 cakes per week at 650 pesos each and he knows that for every 10 pesos crease in the…

A: Given query is to find the price tk maximize the revenue.

Q: Plz solve

A: Given: Where x is unit cost of chips, y is cost of unit of labor.

Q: P(x)= -x+ 12x-36x+400, x23 is an approximation to the total profit (in thousands of dollars) from…

A:

Q: The cost per day of running a hospital is 300,000 + 0.75x2 dollars, where x is the number of…

A: Given cost equation is: C(x) = 300000 + 0.75 x^2 For x = 200 we get, C(200) = 300000 + 0.75 (200^2)…

Q: a firm hasn total weekly revenue in dollars for its product given by R(x)=2800x-8x2-x3, where x is…

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Q: A piece of cardboard measuring 12 inches by 14 inches is formed into an open-top box by cutting…

A:

Q: Callaway Golf Company has determined that the marginal cost C of manufacturing x Big Bertha golf…

A: The marginal cost C of manufacturing x is given by the equationC(x)=4.9x2-617.4x+19600

Q: A company that produces cellular phones analyzes its production and finds that the profit P (in…

A: Given:Profit Function:

Q: A piece of cardboard measuring 8 inches by 12 inches is formed into an open-top box by cutting…

A: The shape of the cardboard after cutting squares from each corner is as shown below

Q: A firm can produce 100 units per week. If its total cost function is C = 600 + 1400x dollars and…

A:

Q: If the total revenue in ABC company has given by R=-x^3+285x^2=45000x, where R is the measure in…

A: Topic:- Application of Derivative

Q: A firm can produce only 2900 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Since, A firm can produce only 2900 units per month. where, the monthly total cost is given by  C(x)…

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

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 3000 – 0.6x dollars per…

A:

Q: A piece of cardboard measuring 14 inches by 12 inches is formed into an open-top box by cutting…

A: To calculate the formula for the volume of the box in terms of x. Also to find the value of x that…

Q: 4) If the total revenue function for a computer is R(x) = 45x + 3x? – x3 a) Find the level of sales,…

A:

Q: The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the…

A: Rewrite the given function as Y=1000x-x2. Compare the above function with the quadratic function…