The cost of controlling emissions at a firm is given by C(q) = 3,000 + 100q2, where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. Government clean-air subsidies amount to $900 per pound of pollutant removed. How many pounds of pollutant should the firm remove each day in order to minimize net cost (cost minus subsidy)?  lbs of pollutant

Q: Generic Corp, a manufacturer of doodads, has a daily mariginal cost function of C'=…

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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 rectangular garden of area 50 square feet is to be surrounded on three sides by a fence costing $2…

A: First lets define some variable, let x= length of fence Y = length of brick of other dimension Thus…

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

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Q: 8. A manufacturing firm sells the commodities it produced at 200 pesos per unit. If the total cost…

A: Given, Selling price of one unit of commodities = 200 Pesos commodities produced each day = x units…

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…

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Q: A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of manufacturing x…

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Q: The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60,…

A: To find the revenue function, calculate Rx=x·p, where p=-0.0005x2+60.…

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 quantity of the demand per month of a certain accessory is related to the price (in 500 where x…

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Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: C=0.02x3+58x2+1455 the average cost function is given by  C¯=Cx C¯=0.02x3+58x2+1455x…

Q: The total cost function is given by C(x)=.055x2+5x+600. Find the number of units,x, that must be…

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Q: The cost function for the manufacture of portable MP3 players is given by: C(x) = 25,000 + 20x +…

A: Given cost function is C(x) = 25,000 + 20x + 0.001x2  So the average cost function is…

Q: Suppose that the daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the…

A: Given : The daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the average…

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 − 40x + 0.25x2   where C…

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Q: The total cost of producing a type of boat is given by C(x)=27000−10x+0.02x^2, where x is the number…

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

Q: (b) The monthly total cost (ringgit) of producing juice maker, C(x) is given by C(x) = 120000 + 180x…

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Q: A firm can produce only 3000 units per month. The monthly total cost is given by C(x) = 400 + 200x…

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Q: For a certain company, the cost function for producing x items is C(x)=40x+200 and the revenue…

A: Consider the given: Cx=40x+200Rx=-0.5x-1102+6050Find the…

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: 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: 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: If the total cost function for producing x lamps is C(x) = 980 + 37x + 0.2x² dollars, producing how…

A: Total cost of producing x lamps is Cx=980+37x+0.2x2 Let R be the average cost per unit. Now average…

Q: The demand function for a tablet is given by the model where p = 200 – 16x2 is measured in dollars…

A: Given- The demand function for a tablet is given by the model where p = 200 - 16x2 is measured in…

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

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

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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: The annual revenue and cost functions for a manufacturer of zip drives are approximately…

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Q: The demand and supply functions for a certain brand of breath mints are demand =−20x + 150 and…

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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: The demand function for a tablet is given by the model where p=200-16x^2  is measured in dollars per…

A: Demand function in above question is written wrong. Values of p should be positive but in your case,…

Q: A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

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Q: The price of a product in a competitive market is $400. If the cost per unit of producing the…

A: The cost function per unit is 70 + 0.2x in dollars and x be the number of items produced per month.

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 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: The weekly revenue for a product is given by R(x) = 132x-0.0135x, and the weekly cost is C(x) =…

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Q: Derive the number of tablets that the company could sell to make the same amount of profit

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

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Q: The demand for a product is given by D(x) = 150e-0.025x, where x is the number of units sold each…

A: Let's find.

Q: A firm can produce only 1000 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: Given A firm can produce only 1000 units per month. Cost is Cx=500+200x Revenue is Rx=450x-1100x2

Q: Skyscrapers Corporation is engaged in the manufacturing of standard wide flange section of steel…

A:

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

A: Given,           A manufacturer of lighting fixtures has daily production costs of  C(x) =…

Q: A firm can produce only 1100 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A: Cost  is given by 400 + 200x Revenue is given by 350x -1100x2 We have to find the units to be sold…

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 the manufacturer of staple machines has found that, when the unit price is $x the revenue y…

A: If a×b=0, using the zero-factor property, it can be written that a=0 or b=0. If -p>0, then…

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

A: