Suppose that a computer software company produces and sells a new operating system at a cost of $55 per copy, and the company has fixed costs of $15,000 per month. Express the total monthly cost as a function of the number of copies sold, x, and compute the cost when x = 1000.

Q: If 150 bags are demanded per month when the price is $75 per bag and the amount demanded fell to 100…

A: Equation of a line passing through the point (a,b) and (c,d) is given by: y-d=m(x-c)    OR…

Q: Let the demand function for a product made in Philadelphia is given by the function D(q) = – 1.95q +…

A:

Q: When a wholesaler sold a product at $40 per unit, sales were 330 units per week. After a price…

A:

Q: Suppose the demand for a certain brand of a product is given by D(p) = 352 + 50, where p is the %3D…

A: Demand function is given by  D(p) = - p2/352 +50 Price function is given by P(c) = 4c - 32

Q: use marginal cost to approximate the cost of producing the 21st food processor.…

A: Given:

Q: Suppose the annual profit for a store was modeled by the function :          P(x) = - 0.2x3 + 3x2 +…

A:

Q: A manufacture has been selling 1900 television sets a week at $360 each. A market survey indicates…

A:

Q: If labor (x) costs $235 per unit, materials (y) cost $169 per unit, and capital (z) costs $60 per…

A: Given that: Labour costs $235 per unitMaterials y cost $169 per unitCapital z costs $60 per unit.

Q: Suppose it costs an appliance company $223 to manufacture each washer and $187 to manufacture each…

A: Given that cost of manufacturing for each washer is $223 and  cost of manufacturing for each dryers…

Q: A manufacture has been selling 1200 television sets a week at $540 each. A market survey indicates…

A:

Q: Suppose that the demand D for candy at a theater is inversely related to the price p. (a) When the…

A:

Q: Assume that the situation can be expressed as a linear cost function.  Marginal cost is $25; 190…

A: GIVEN: Marginal cost = $25

Q: the marginal revenue (in dollars per unit) for a month for a commodity is MR = −0.6x + 43, find the…

A: Margina revenue  is slope of total function

Q: A global data plan costs $25 a month for the first 100 megabytes and $20 for each additional 100…

A: The equation representing the cost as a function of the number of megabytes x used per month is:…

Q: A landscaping company charges $49 per cubic yard of mulch plus a delivery charge of $27. Find a…

A: Given A landscaping company charges  per cubic yard= $49 delivery charge =$27

Q: Suppose the demand for a certain item is given by D(p)=-2p2-5p+900, where p represents the price of…

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: For the demand equation, express the total revenue R as a function of the price p per item. q = −4p…

A: topic - functions and derivatives

Q: If the demand for a thingy is 12,000 per month when the price is $12 and 15,000 when the price is…

A: Find the slope of function.

Q: Suppose the demand for a certain brand of a product is given by ​D(p)=(−p^2/336)+350​, where p is…

A:

Q: A manufacture has been selling 1600 television sets a week at $450 each. A market survey indicates…

A: x= number of TV y=price two points are the slope of the line is given by

Q: Suppose that the revenue from selling x washingmachines isr(x) = 20,000(1 - 1/x)dollars. Use the…

A:

Q: Use the demand function x- 275 (1- 3p/5p+1)  to find the rate of change in a demand x for price p=$4

A: Consider the demand function x

Q: Suppose the supply per week for a product is 1254 units if the price per unit is $46 and 1518 units…

A: number of units/week supplied = 1254 price per unit $46 price per unit of 1518 units = 79$

Q: Assume that the demand equation for tuna in a small coastal town is given by 80 p = q0.5 where p is…

A: The given data is: p=80q0.5  1. To find the marginal revenue function in terms of q

Q: A manufacture has been selling 1900 television sets a week at $450 each. A market survey indicates…

A:

Q: The demand function for a product is modeled by p= 56e-0.000012q where p is the price per unit (in…

A: We have p=56e−0.000012qRevenue function Rq=qpRq=56qe−0.000012qDifferentiate w.r.t…

Q: A. Assuming that the total cost per day, C(x), is linearly related to the total output per day, x,…

A: here given , A company is planning to manufacture snowboards. The fixed costs are $300 per day and…

Q: A company has a weekly marginal profit function given by P(a) = 39x- 0.36x2 - 206 dollars per item…

A: Sol:>  Given,            marginal Profit P(x) = 39 (x) - 0.36 x2 - 206 .            Profit  =>…

Q: Teddy J is a manufacturer of dish washing liquid. If his monthly demand function for 750 ml size is…

A: First solve the given demand function in terms of p :

Q: express the price p in terms of the demand x, and find the domain of this function  x=4,000- 40p

A: Given an equation in terms of x,

Q: For the fast- food restaurant, the revenue function R(x)=60000x-x^2/20000 and cost function…

A: Given that

Q: For a highly successful company in Salt Lake City, the total cost (in dollars) to produce q items is…

A:

Q: The demand function for specialty steel products is given, where p is in dollars and q is the number…

A: (a) Demand function, p(q) = 105(100 - q)1/3                               q(p) = 100 - (p/105)3…

Q: For the demand equation, express the total revenue R as a function of the price p per item. q = −4p…

A: topic - application of derivatives

Q: Given a price-demand function P(x)=100−15x, calculate the average revenue when x=5. Do not include…

A: We have been given a price demand function as P(x) = 100-5x and we are supposed to find average…

Q: For the following demand equation, express the total revenue R as a function of the price p per…

A: The demand function is given as  The revenue function is evaluated as

Q: Suppose that Alexander’s Coffee Shop has fixed costs of $18 and variable costs per unit of $4. The…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: minute monthly limit. Write a piecewise-defined function to model the monthly cost Cx (in $) as a…

A: Given: A cell phone plan charges $48.35 per month plus $14.06 in taxes, plus $0.20 per minute for…

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function.…

A: Given Marginal cost (m)=$120 700 Items cost $96,500

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: We will solve the problem

Q: for the most cost function c(x)=8100+210x+1.4x^2 and the demand function p(x)=630, find the…

A:

Q: A manufacture has been selling 1600 television sets a week at $540 each. A market survey indicates…

A: (a) Here x is the number of television sets sold per week and p(x) is the corresponding price in…

Q: Get the:  1. Revenue function  2. Demand function

A: To find out the revenue function and demand function by using the marginal revenue function.

Q: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 250 − 0.06x2,…

A: For the demand function d(x) and demand level x, find the consumers' surplus. d(x) = 250 −…

Q: firm which produces a single product is interested in determining the functions that expresses…

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Q: Suppose that the price p (in dollars) and the weekly sales x (in thousands of units) of a certain…

A: Given demand equation, 4p³+x²= 4100 x=10 p=10 dp/dt=- $ .20/week Differentiating w.r.t to t we have,…

Q: Suppose that for a certain product, during a certain month, the price-demand equation is x = 2500 –…

A: Since you have asked the last 3 questions, we are answering the parts e, f, and g. Given, The…