A fertilizer producer finds that it can sell its product at a price of p = 1500 – 0.3x dollars per unit when it produces x units of fertilizer. The total production cost (in dollars) for xunits is C(x) = 45,000 + 375x + 0.075x². If the production capacity of the firm is at most 1000 units of fertilizer in a specified time, how many units must be manufactured an sold in that time to maximize the profit? Selling units maximizes profit.

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

A:

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

A:

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given:

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

A:

Q: R = 840x + 207x² – x³ X = units

A:

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 management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

A: We can use the concept of maxima and minima to solve this question.  In order to get maximum profit…

Q: Find the number of units x that produces a maximum revenue R in the given equation. R = 33x2/3 – 2x…

A: Given:- R = 33x(2/3) -2x To find:- Number of units x produces a maximum revenue R

Q: Find the Break Even Point for the Firm whose cost function C and revenue function R are given.…

A: The given data is: Cost function is given as: Cx=13x+6000  Revenue function is given as: Rx=19x…

Q: A manufacturer designs and sells each of the radios it produces for 75 soles. If x daily radii, then…

A: Since, the amount of the total daily cost of production is given by:-C(x)=x2+25x+96  -(i)Price of…

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

A:

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

A:

Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

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 revenue from sales of x units of a product is given by R(x) = 125x-0.01x, and the cost of…

A:

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: Two chemical factories are discharging toxic waste into a large lake, and the pollution level at a…

A: The given function is,

Q: A firm can produce only 4400 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: we first find the profit function P(x) as  P(x)=R(x)-C(x) Now we find the derivative of P(x) and…

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

A:

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

A:

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

A:

Q: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

A: The management of the producers of a famous hot sauce estimate that their profit (in dollars) from…

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…

Q: The selling price P of an item is 100- 0.02x dollars, where x is the number of items produced per…

A:

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

A:

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

A:

Q: A firm can produce only 2,900 units per month. The monthly total cost is given C(x) = 400 + 200x…

A: first we will calculate the profit by using the formula  profit=revenue -cost here, we have been…

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

A:

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: The annual total revenue for a product is given by R(x)=30,000x−6x2 ​dollars, where x is the number…

A:

Q: 5. A fast food restaurant has a cost of production C (x) = 14x + 171 and a revenue function R(x) =…

A: Profit function from cost and revenue function

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

A:

Q: small business sells custom oak moldings in 12-foot lengths. One molding type has the revenue…

A:

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: 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…

A:

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

A:

Q: Find the number of units that must be sold to break even.

A: