Suppose a company has a total costs of 0.1x² + 35x + 15000, where x is the total number of units produced, and a total revenue function is 385x - 0.9x² . (a) Find the break-even points. (b) Find the maximum profit.

Q: A firm can produce 300 units per week. If its total cost function is C = 800 + 1400x dollars and its…

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Q: A manufacturer estimates that its product can be produced at a total cost of  C(x) = 55,000 + 100x +…

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Q: suppose a company has revenue function R(x)=10x and the cost function C(x)=2x+100, where x is the…

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Q: Suppose the cost and revenue functions of a company are R(x) = 60x and C(x) = 360 + 40x + 0.1 x²…

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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 chemical manufacturer sells sulfuric acid in bulk at a price of $200 per unit. If the daily total…

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Q: For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue…

A: Given: Revenue cost: R(x)=-0.5 x-902+4050;   Cost function:…

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200,…

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Q: A manufacturer estimates that it's product can be produced at a cost of C(X)=40000-100x+x^3. If the…

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Q: 3. Suppose that the revenue in selling a tables is equal to 200x -0.25x² dollars, and producing a…

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Q: A cell phone factory has a cost of production  C(x) = 175x + 30,000  and a revenue function  R(x)…

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Q: Suppose a calculator manufacturer has the total cost function c(x)=38x+6200 and the total revenue…

A: Explanation of the answer is as follows

Q: A firm can produce 100 units per week. If its total cost function is C = 600 + 1200x dollars and its…

A: Profit = Revenue - Cost  P(x)=(1300x-x^2)-(600+1200x) P(x)=-x^2+100x-600

Q: A firm can produce 300 units per week. If its total cost function is C = 400 + 1100x dollars and its…

A: Profit function, P(x) = Revenue function - Cost function                                = R(x) -…

Q: If the profit function for a firm is given by  P(x) = −1600 + 170x − x2  and limitations on space…

A: Here we have to find the break even point for given  profit function

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 and revenue function R is

Q: The total cost of producing a type of tractor is given by C(x) = 27000 – 10x + 0.04x-, where x is…

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: For a certain company, the cost function for producing x items is C(x)=30x+100 and the revenue…

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Q: if in monopoly market the demand for product is p=1600-x and the revenue is R=px, where x is the…

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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: For a certain product, suppose that total costs are given by c(x) = 1600 + 1500x and total revenues…

A: Given,           For a certain product, suppose that total costs are given by c(x) = 1600 + 1500x…

Q: For a certain company, the cost function for producing x items is c (x)=50x+150 and the revenue…

A: It is given that c(x)=50x+150 and R(x)=-0.5(x-110)2+6050.

Q: Suppose the revenue function (in US dollars) for the sale of a particular product is R9x)= -2x2+10x…

A: The revenue function is: R(x)=-2x2+10xThe cost function is:C(x)=4x

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

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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: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

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

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Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 55,000 + 100x +…

A: We need to maximize Profit (P(x)). We know :Profit=Revenue-CostSo,…

Q: A firm can produce 200 units per week. If its total cost function is C = 400 + 1300x dollars and its…

A: topic - application of derivatives

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

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Q: If the total cost function for producing x lamps is  C(x) = 4410 + 38x + 0.9x2  dollars, producing…

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000+ 100x +…

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Q: A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue…

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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: If a profit function of a firm is given by P(x) = -1500 + 160x - x^2 and limitations on space…

A: Given - If a profit function of a firm is given by Px = -1500 + 160x - x2 and limitations on space…

Q: A liquid form of penincillin manufactiured by a pharmaceutical firm is sold in bulk at a price of…

A: Total selling price of x unit of penicillin= $200x Profit, p(x)= Selling Price- Cost price…

Q: If the total cost function for producing x lamps is C(x) = 3920 + 38x + 0.8x² dollars, producing how…

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

A:

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

A: P(x) = R(x) - C(x) = 1700x - x² - 400 - 1400x = -x² + 300x - 400   Now take the derivative of the…

Q: A firm can produce 300 units per week. If its total cost function is C = 300 + 1200x dollars and its…

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Q: A car manufacturer estimated that the cost of production of “x” cars of a certain model is C = 20x –…

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Q: Suppose that for a certain​ company,​C(x)=25x+2100 represents the total cost​ function, and…

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Q: A firm can produce 500 units per week. If its total cost function is  C = 200 + 1000x  dollars and…

A: Given:

Q: If the profit function for a product is  P(x) = 1200x + 80x2 − x3 − 58,000  dollars, selling how…

A: P(x)=1200x+ 80x2 -x3…

Q: The cost (in dollars) of producing x corkboards is given by x2+20x+500, while the price (in dollars)…

A: According to question,Given Cost function,Let Cx = x2 + 20x + 500,andDemand Function,px = 100 - x

Q: suppose that the price per unit in dollars of a cell phone production is modeled by p=$85-0.0125x,…

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Q: 3. Suppose that the revenue in selling r tables is equal to 200x – 0.25x2 dollars, and producing a…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.