A fertilizer producer finds that it can sell its product at a price of p = 2500 – 0.5x dollars per unit when it produces x units of ertilizer. The total production cost (in dollars) for xunits is C(x) = 75,000 + 625x + 0.125x². f 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 small generator burns two types of fuel low sulfur and high sulfur to produce electricity. For one…

A:

Q: researcher in physiology has decided that a good mathematical model for the number of impulses fired…

A:

Q: Solve for x and y simultaneously: x-2y -3 and y320

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: The total revenue (in hundreds of dollars) from the sale of x X-ray machines and y bone density…

A: Given: Rx,y=15+169x+182y-5x2-7y2-7xy

Q: The profit for a product is given by ​ Px)=-12x^(2)+1600x-14400 where x is the number of units…

A:

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

A:

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…

A:

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

A:

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 fast-food restaurant has a cost of production C(x)=11x+110 and a revenue function R(x)=6x. When…

A: I am going to calculate that when the company will start to run on profit just is when revenue…

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: 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: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

A:

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

A:

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: During a nationwide program to immunize the population against a new strain of the flu, public…

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: revenue

A:

Q: The net profit in dollars per day for a small business owner is given by the equation f (x) = -0.1x²…

A:

Q: A fast-food restaurant has a cost of production C(x) = 12x + 126 and a revenue function R(x) = 5x.…

A: The profit function is the difference of the Revenue function and the Cost function. The company…

Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

A:

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 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 net profit in dollars per day for a small business owner is given by the equation f…

A: We know:

Q: Find the number of units X that produces a maximum revenue R in the given equation. R= 36x2/3 -2x

A:

Q: The annual total revenue for Pilot V5 pens is given by R(x) = 1500x - 0.02x2 dollars, where x is the…

A: Given, R(x)=1500x-0.02x2

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: 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: Suppose a baby food company has determined that its total revenue R for its food is given by R = - x…

A: R=-x3+45x2+525x To find: Production level that will yield maximum revenue.

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: 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: Revenue of a company is modeled by R(x)=x^2+15x-30 and Cost is modeled by C(x)=x^2+10x+55. How many…

A: Let's find.

Q: The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is…

A: topic - application of derivatives

Q: The profit function for a company that produces shoes is given by y = - 2x ^ 2 + 12x +23, where "y"…

A:

Q: The weekly revenue from the sale of x units of a product is given by R(x)=126x-7x^2 thousand…

A: The weekly revenue from the sale of x units of a product is given by R(x)=126x-7x^2 thousand…

Q: A fast-food restaurant has a cost of production C(x)=11x+90 and a revenue function R(x)=6x. When…

A: Given:       Cx=11x+90       Rx=6x So, the profit function is:     Px=Rx-Cx

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: