The cost to transport a mobile home depends on the distance, x, in miles that the home is moved. Let C(x) represent the cost to move a mobile home x miles. One firm charges as follows. Cost per Mile Distance in Miles $4.25 0

Q: The point at which a company's profits equal zero is called the company's break-even point. Let R…

A: Given , R(x) = 10 x           C(x) = 6.5x+8750  Profit = R(x)-C(x)   at break even point, Profit =0…

Q: The total daily profit (in thousands of pesos) of a certain food company for the sale of x boxes of…

A: Given query is to find the number of box needs to be produced to maximize the profit.

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: topic - application of derivatives

Q: Use the table of values for y = f(x) to complete a table for y = f-(x). (Order your answers from…

A: topic - functions

Q: A liquid form of penincillin manufactiured by a pharmaceutical firm is sold in bulk at a price of…

A:

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: f(x) = x – e2x

A:

Q: C. The cost to maintain inventory for the weather balloons is given by C(x) 21,500 %3D + 2.4x ,…

A:

Q: 3. The cost C of manufacturing transformers in a factory varies with the output N per day according…

A: minimum cost

Q: find all possible functions with the givenderivative.33. a. y′ = x b. y′ = x2 c. y′ = x3

A: a. Given, y'=x⇒dydx=x⇒dy=x dx Integrating on both sides, we get ⇒∫dy=∫x dx⇒y=x22+C            ∵∫xn…

Q: The revenue function is given by R(x)=x⋅p(x) dollars where x is the number of units sold and p(x) is…

A:

Q: The revenue function is given by R(x) = x - p(x) dollars where x is the number of units sold and…

A: Given :Rx=x.pxpx=414-x5x=10

Q: A company has determined that its price-demand function for its sale of its product is given by…

A:

Q: f the total revenue function for a blender is R(x) = 76x – 0.01x² where x is the number of units…

A: Given that

Q: A company finds that the rate at which the quantity of a product that consumers demand changes 6000…

A:

Q: Find the absolute extrema of the function on the closed interval.

A: Given: fx=x2+5x,  -4,0   To Find: The absolute extrema of the function on the closed interval.

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A:

Q: The cost, in dollars, for a company to produce x widgets is given by C(x) = 4250 + 6.00x for x20,…

A:

Q: the maximum revenue for the revenue function  R(x) = 385x − 0.9x2.  (Round your answer

A:

Q: A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x) dollars…

A: Given:  A small tie shop finds that at a sales level of x tiles per day its marginal profit is MPx…

Q: The average length of time, in minutes, that a customer waits in line for service is given by 60 y <…

A: This can be evaluated as follows:

Q: Express the given quantity as a function f(x) of one variable x. the perimeter of a rectangle of…

A:

Q: Given the marginal revenue R’ = 215-2x, find the revenue function and demand function. Use the fact…

A: Here, the marginal revenue is R'=215-2x

Q: An aircraft factory manufactures airplane engines. If x engines are made then the unit cost is given…

A: This question is related to maxima and minima of function, we will use differentiation to solve…

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

A: Ans: $ 2160 Find the function C(x), putting the value for cost of 220 units/dresses calculate the…

Q: The Cost function C(x) and the Revenue function R(x) of a firm are given by C(x) = 4x +1200 and R(x)…

A: Given that the cost function Cx=4x+1200 and the revenue function is Rx=10x. We have to find the…

Q: The profit in dollars from the sale of x expensive watches is P(x)= 0.09x-3x+4x°4 -4400. Find the…

A: Given: P(x)=0.09x2-3x+4x0.4-4400

Q: Find a and b so that the function 2x3 – 7x2 + 4, x -2 is both continuous and differentiable. a = b…

A: Function and its derivative mist be continuous so check the continuity at x= -2

Q: Let p=24−x and ​C(x)=329+5​x, where x is the number of garden hoses that can be sold at a price of​…

A: (a) Consider the given information. The profit function and the cost function is px=24−x and…

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

A:

Q: A dairy is planning to introduce and promote a new line of organic ice cream. After test marketing…

A: Given: p=15e-x To find the local  extrema  of the revenue function

Q: Find the consumer and producer surpluses by using the demand and supply functions, where p is the…

A: We will equate the demand and supply function to find number of units at equilibrium.

Q: A baseball team plays in a stadium that holds 66000 spectators. With the ticket price $8 the average…

A:

Q: The revenue function is given by R(x) = X: •p(x) dollars where x is the number of units sold and…

A:

Q: A goldsmith finds that the demand for gold is governed by p(x) = –x² + nx, where z is in (troy)…

A:

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A:

Q: A company finds that the total cost of manufacturing x units of a certain product is given by C(x) =…

A:

Q: Use a formula to express y as a function of t if  y = 3x2 + 9x and x = t − 1.   y =

A: First of all, both equations i.e. y in terms of x and x in terms of t.

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…

Q: Find the maximum value of the function (x1 + 4.x2)² f(#1, x2) = by expressing f (x1, x2) as the…

A:

Q: 4. Find the difference quotient, (x+h)-f(x) where h + 0, of the function f(x) = 2x + 1. А. 2 h B.…

A: topic - difference quotient

Q: The cost of producing x bags of dog food is given by C(x) = 500 + V 100 + 50x – x where 0sxs5000.…

A: Given query is to find marginal cost function.

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the…

Q: Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p…

A: Given equation - R =-4p2+4000p          ...........(1)Part (a) - Revenue = R = 0p = price = ?From…

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

A:

Q: 3. Given the function g(x) = x - 2x2 + x, find the interval(s) when g is concave up and decreasing…

A: We have given a function g(x).  We have to find the interval where g is concave up and decreasing at…

Q: A firm has monthly average costs, in dollars, given by C = 40,000/x + 300 + x where x is the number…

A: Profit, P = (Sale price per unit - average cost per unit) x Number of units = [2,000 - (40,000/x +…

Q: Find the value of c in the interval (a, b) such that f'(c) = 0 for f(x) = (x – 3)(x + 1)? on [-1,3].

A:

Q: The marginal revenue​ (in thousands of​ dollars) from the sale of x gadgets is given by the…

A: Given that,the marginal revenue in thousands of dollars from the sale of x gadgets is given by,…