In a small business, the function ?(S) = 0.6S^2 + (1 + 71)* S – 2540 shows the relation between the revenue (R) and the price of the product (S) in OR . Find the price for maximum revenue. If the price is 4 OR, then find the revenue.

Q: Find the slope of the graph of the function at the given point.

A: Given: fx=3x2-4x Given point is 1, -1

Q: The annual sales (in millions of dollars) of Nintendo Wii t years from the release 50t2 date in 2006…

A:

Q: Which shows where the function is decreasing?

A: The graph of the function f(x) is shown. The function f is increasing if the derivative of function…

Q: A company has a weekly marginal profit function given by P(x) = 38x - 0.33x2 - 211 dollars per item…

A:

Q: At a manufacturing plant, the total cost to produce x items is given by the function c(x)=…

A: Marginal cost is the rate of change of total cost, i.e, c'(x).

Q: The cost of manufacturing snow blowers is given by C(x) = 350 + 6x - 0.4x². А. Find the marginal…

A: Solution B )average cost = ΔC / ΔX  = (350 + 6x - 0.4x2)/ x = 350/x + 6 - 0.4x at  x = 25 = 350/ 25…

Q: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

A:

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

A:

Q: The marginal cost (in dollars per box) of producing the xth box of HDMI cables is C'(x)=-…

A: To find the function of C(x) we integrate C'(x) c=integrating constant

Q: .Suppose that a company produced and sold two types of products. If they sold monthly x, items of…

A: To determine the income if a company sold 32000 items of the first product and 55000 items of the…

Q: 9. y = 3x2 – 2vx at (1, -9)

A: To find slope.

Q: Suppose the cost of producing x lawn mowers is C1x2= -0.02x2 + 400x + 5000. a. Determine the average…

A: Given: The cost of producing lawnmowers is given as:

Q: the marginal profit function for a companyy is  MP(x) = -30x + 920 and P(8) = 6500 What is the…

A:

Q: An analysis of passenger traffic at Daytona Beach International Airport over the past 40 years shows…

A: Since you have posted multiple subparts we solved the first three subparts for you To get the…

Q: Find the slope of the graph for the function f(x) = 3sinx + 11 at the point (7,11)

A: The function is f(x)=3 sin(x)+11

Q: A piece of cardboard measuring 10 inches by 13 inches is formed into an open-top box by cutting…

A:

Q: The second edition of a textbook was 799 pages long. By the time it got to the sixth edition the…

A: Suppose, L represents page length and n represents the edition number. The points are written as (n,…

Q: A clothing company determines that its marginal cost, in dollars per dress, given by the function…

A:

Q: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

A: Given the marginal cost function, M(x)=f(x)=x2-2x+3.

Q: A certain family in Sitio Bugayan opened a t-shirt business last year. The family started with 50…

A:

Q: Consumers will demand 1380 items at a price of $4.25/item. When the price per item increases to $7,…

A:

Q: customers turn up only about 95% of the time. A flight can accommodate 40 passengers and each seat…

A:

Q: A company has a weekly marginal profit function given by P(x) = 31a – 0.38x2 - 261 dollars per item…

A: The marginal Profit function is given as follows. Px=31x-0.38x2-261 Marginal…

Q: use marginal profit to approximate the profit from the sale of the 26th skateboard.  P(X)= 30X-0.3X2…

A:

Q: Consider the function f(x) = 4/¤ + 2 on the interval [4, 5].

A: Given function is, f(x)=4x+2

Q: A certain family in Sitio Calculus opened a t-shirt business last year. The family started with 50…

A: Given: fx=x2-2x+3 Since, the marginal cost function is the derivative of the total cost function,…

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: If the marginal revenue function of a firm r'(x) = 5+ 3x – x² and r (6) = 112, find the total…

A:

Q: A company that produces ribbon has found that the marginal cost of producing x yards of fancy ribbon…

A: Solve the following

Q: A rectangular piece of sheet metal with a perimeter of 50 cm is rolled into a cylinder with two open…

A: a. Given that, a rectangular piece of sheet metal with perimeter 50 cm is rolled into a cylinder…

Q: A 600 room hotel in Orlando is filled to capacity every night when the room price is $90  per night.…

A:

Q: The cost to fence in a backyard is $1000 for an area less than or equal to 100 m2. An area greater…

A: Cost function = Average cost / Area

Q: The revenue from the sale of x manual food processors is given by R(x) = 26x-0.2x dollars. The total…

A:

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A:

Q: Suppose that the revenue function for the manufacturer of a lawnmower is R(x) = 700x – 0.5x² , where…

A: Given,           Revenue function, R(x) =700x - 0.5x2  and where x is the number of lawnmovers sold.

Q: A parking lot charges $2 per hour for the first 4 hours, them $3 per hour after that. Which…

A: Suppose that the total number of hours is x then given that parking lot charges $2 per hour for the…

Q: The price-demand function for selling x Math audiobooks is given by p(x) = 532 −(1/2)x dollars,…

A: The solution is given below-

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: A farmer wants to build a rectangular fence around a plot of land. However, 1.5 sides of the plot of…

A: The farmer has total of 2000ft. fencing. 1.5 sides of the plot of land border a river. w is the side…

Q: A manufacturer of digital cameras estimates that when X hundred camera are produced, the total…

A: Given,P(x)=0.004x3+0.06x2+25x-200Marginal profit is P'(x)P'(x)=ddx(0.004x3+0.06x2+25x-200)…

Q: aximum profit is d to nearest integer.)

A: Given R(q)=90q-0.5q2 and C(q)=13q+600

Q: A company estimated that the daily revenue( in dollars) from the sale of x cookies is given by…

A: Marginal revenue is the rate of change of revenue at a given volume.

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A:

Q: When t tons of steel are produced, marginal cost in Tk per ton is: 1.152t2 – 230.4t + 9600 If the…

A: Given:- When t tons of steel are produced, marginal cost in Tk per ton is: 1.152t2–230.4t + 9600 To…

Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

A:

Q: Consumers will demand 1005 items at a price of $2.25/item. When the price per item increases to $3,…

A:

Q: The number of mosquitos, M(x), in millions, in a certain area of Florida depends on the June…

A:

Q: The annual sales (in millions of dollars) of Nintendo Wii t years from the release 50t2 date in 2006…

A:

Q: Solve no 73

A:

Q: The profit function for a pen manufacturer is given by P(x) = 790x – 0.3x², where x is the number of…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.