A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for x units is C(x) = 30,000 + 250x + 0.050x². If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured and sold in that time to maximize the profit? Selling i units maximizes profit.

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: A small generator burns two types of fuel low sulfur and high sulfur to produce electricity. For one…

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Q: manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x^2, where C is…

A: Given query is to find the value of x for minimum cost.

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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: 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: The total cost of producing a type of boat is given by C(x) = 17000 – 20x + 0.02x², where x is the…

A: Given:- The total cost of producing a type of boat is given by C(x) = 17000 - 20x + 0.02x2 where x…

Q: Suppose the daily cost C of manufacturing is given by C(x)=80x+4800 now hte average daily cost is…

A:

Q: Suppose we have a revenue function given by  R(x) = 3x3 - ax, Where a is a constant. What would the…

A: Average revenue=Revenuex=R(x)x

Q: A small generator burns two types of fuel low sulfur and high sulfur to produce electricity. For one…

A: Here we will form a linear programming and solve it graphically to find optimal value for x and y…

Q: The total cost of producing a type of car is given by C(x)=23000−30x+0.04x2 , where x is the…

A: Given: The total cost of producing a type of car is given by Cx=23000-30x+0.04x2

Q: A researcher at a textbook manufacturing company finds that the revenue is given byR(x)=5x2−40x.What…

A: Calculation:

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

A: Profit, pro(x) = xP - C(x)For maximum profit, put dpro(x)dx = 0

Q: A factory can produce two products x and y with a profit approximated by P= 14x+22y-900. The…

A: A factory can produce two products x and y with a profit approximated by P= 14x+22y-900. We are…

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Q: A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue…

A: Given ,Revenue from x1 units of running shoes and                           x2 units of basketball…

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: A study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: We are given the death rate function as R(x)=5x² − 35x + 108 where x is the weekly amount of…

Q: The revenue and cost function for a created of alarm clocks are about R(x)=520x-0.01x^2 and…

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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: The total cost of producing a type of car is given by C(x) = 21000 – 20x + 0.02x, where x is the…

A: Topic = Functions

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: The total cost of producing a type of truck is given by C(x) = 24000 10x + 0.04x2, where x is the…

A: As per given by the question, The given equation is, Cx=24000-10x+0.04x2 Rewrite the equation,…

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 study of the exercise habits of 17,000 alumni from a certain college found that the death rate…

A: Solve the problem

Q: A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollars per…

A: Given that, The total production cost (in dollars) for x units is: C(x) = 15000 − 125x + 0.025x2…

Q: A fertilizer producer finds that it can sell its product at a price of p = 4000 – 0.8x dollars per…

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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,…

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

A: Find your answer below

Q: A fertilizer producer finds that it can sell its product at a price of p = 1500 – 0.3x dollars per…

A: GIVEN: p = 1500 - 0.3x C(x) = 45000 + 375x + 0.075x2

Q: A firm can produce only 1300 units per month. The monthly total cost is given by  C(x) = 500 + 200x…

A: Given that, the monthly total cost is, C(x)=500+200x and the total revenue is, R(x)=450x-1100x2.…

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: To minimize the product f(x) = x² + 170x, we must solve 0 = f '(x) = 2x + 170, which means X =

A: The given function is fx=x2+170xTo minimize, let f'(x)=02x+170=0To find x

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

A: Given:    Cx=100,000+50x+0.003125x2 To solve the amount of sulfuric acid to maximize the profit we…

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Q: Max's total profit (in dollars) from manufacturing and selling x units of their model M loudspeaker…

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Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $600 per unit. If the daily total…

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Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $800 per unit. If the daily total…

A: A chemical manufacturer sells sulfuric acid in bulk at a price of $800 per unit.If the daily total…

Q: The total cost of producing a type of car is given by C(x) = 20000 - 50x + 0.2x2, where x is the…

A: We use second derivative test to find value of x where cost minimum

Q: ufacturer estimates that the cost (C) of production of x units of a certain item is C = 40x −…

A: We have to find the unit  where minimum cost arises

Q: A small generator burns 2 types of fuel: low sulfur and high sulfur to produce electricity. For one…

A: Consider the provided question, Let x be the number of gallons of low sulfur and, y be the number of…

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…

Q: A small generator burns two types of fuel low sulfur and high sulfur to produce electricity. For one…

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Q: A marketing firm has calculated that the total profits P of a product with x-dollars invested in…

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