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: 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 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: A company sells two different types of candles, and their profit function for a week is given by…

A: Consider the provided question, (3)

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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: If the total cost function for a product is  C(x) = 150(0.02x + 6)3 dollars,  where x represents…

A: Now , we will find the minimum average cost per hundred units .

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…

Q: A bus service carries 10 000 people daily between Ajax and Union Station. and the company has space…

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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: 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 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: 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 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: 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 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 = 500 – 0.1x dollars per…

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

Q: A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per…

A: We need to find units to maximize profit.

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

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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

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A: Given problem:- Bioavailability is a term that refers to the fraction of an antibiotic dose taken…

Q: An appliance company determines that in order to sell x dishwashers, the price per dishwasher must…

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

A: Here we find the minimize cost.

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: 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 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: A firm can produce 200 units per week. If its total cost function is C = 900 + 1100x dollars and its…

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Q: If the total cost function for producing x lamps is C(x) = 360 + 35x + 0.4x dollars, producing how…

A: Given that the total cost function for producing a lamps is C(x) = 360+35x+0.4x2 dollars .

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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: If the total cost function for producing x lamps is C(x) = 720 + 39x + 0.8x^2 dollars, producing how…

A: Use formula for average cost

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

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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: 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…

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Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given that the cost function is Cx=40x+100 and the revenue function is Rx=-0.5x-802+3200.Also the…

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

A: Given:

Q: A financier plans to invest up to $500,000 in two projects. Project A yields a return of 9% on the…

A: Total investment = x+y Given that the financier plans to invest up to $500,000 in two projects. So,…

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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