A manufacturer of widgets has fixed costs of $650 per month, and the variable cost is $66 per thousand widgets (so it costs $66 to produce 1 thousand widgets). Let N be the number, in thousands, of widgets produced in a month. (a) Find a formula for the manufacturer's total cost C as a function of N. C(N) =

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A:

Q: Sketch the graph of the function defined by the formula 0 , x<-1 f(x) = |1– x² ,-1<x <1 x 2 1

A: Given:     To determine: the graph of f(x)

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A: From a 27 cm by 27 cm piece of cardboard, square corners are cut out so that the sides can be folded…

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p = − 1…

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Q: From a 18-cm by 18-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: From a 18 cm by 18 cm piece of cardboard, square corners are cut so that the sides can be folded up…

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A: Given the perimeter (or) Total length of fencing is 1000 ftFrom the given figure total length of…

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A: Given  A jogger ran 4 miles and then walked 2 miles. Total time is T  The average velocity of…

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given the query is to find the point of diminishing returns.

Q: The number N of cars produced at a certain factory in 1 day after t hours of operation is given by…

A: Given problem:- The number N of cars produced at a certain factory in 1 day after t hours of…

Q: The Ministry of Finance in Paradise Island determined that the import demand for Cognac is related…

A: C(x) = import demand of cognac or percentage of normal consumption of cognac x     =  luxury tax in…

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Q: If f and g are functions of time, and at time t = 2, f equals 3 and is rising at a rate of 5 units…

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Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

A: Given: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be…

Q: The population of wolves in a wildlife reserve can be modelled by the function f (x) = 1000+600x…

A: The given population of wolves is given as fx=1000+600x10+0.6x The domain of the function is defined…

Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

Q: If f and g are functions of time, and at time t = 2, f equals 2 and is rising at a rate of 3 units…

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Q: The demand function for a certain make of exercise bicycle sold exclusive through cable television…

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Q: A company sells an inexpensive accounting program for home computers. If it can sell x programs per…

A: Revenue per week=Number of items sold per week×Cost per item

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A: Given,           A company has found that its expenditure rate per day in hundreds of dollars on a…

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A: Let x be the average velocity on the outgoing trip.

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Q: A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the…

A: Given A tortoise and a hare are competing in a 1200-meter race Tortoise has a 750 meter head start…

Q: A commuter drove to work a distance of 40 miles and then returned again on the same route. The…

A: Let the average velocity on the outgoing trip be x miles per hour. Now since the average velocity on…

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A: The amount of fencing required would be equal to the sum of length of all the sides including the…

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Q: f and g are functions of time, and at time t = 2, f equals 2 and is rising at a rate of 6 units per…

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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: The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of…

A: Given :            The revenue function R(p) = -12 p2 + 1900 p.   To find :   a) The price p when…

Q: An open-box with a square base is to have a volume of 500 cubic inches. The material for the top and…

A:

Q: If f and g are functions of time, and at time t = 2, f equals 2 and is rising at a rate of 3 units…

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Q: From a 12-cm by 12-cm piece of cardboard, square corners are cut out so that the sides can be folded…

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Q: demand function for a certain brand of mattress is given by p = 600e−0.02x where p is the unit…

A: Use simple formula to  calculate consumer  surplus

Q: A salesperson receives a base monthly salary of $250 plus a commission of $4 for each unit sold. If…

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Revenue function, R(x)=-49x3+4x2+8, 0≤x≤5 To find the diminishing return, we shall use second…

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Q: X+200p=10,000  X&gt;0 P&gt;0 express the revenue (price times units sold), R, as a function of p. R=

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Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is given by…

A: Given query is to maximize the revenue.

Q: If f and g are functions of time, and at time t = 3, fequals 7 and is rising at a rate of 5 units…

A: f(3)=7df(t)dt=5g(3)=6dg(t)dt=7

Q: In a certain state, the sales tax T on the amount of taxable goods is 5% of the value of the goods…

A: here T is taxable  value on purchase  x is purchase value and T = 5% given  further calculation…

Q: From a 6-cm by 6-cm piece of cardboard, square IX corners are cut out so that the sides can be…

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Q: From a 24-cm by 24-cm piece of cardboard, square corners are cut out so that the sides can be folded…

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Q: Consider the monthly rent (Rent in $) of a home in Ann Arbor, Michigan, as a function of the number…

A: Multiple regression equation : Many regression predicts the value of one dependent variable by…

Q: The figure shows a page with 1-inch margins at the top and the bottom and half-inch side margins. A…

A: Let the length and width of the printed page be y and x, respectively. Given printed area of page is…

Q: If f and g are functions of time, and at time t = 3, f equals 9 and is rising at a rate of 4 units…

A: Given,            If f and g are functions of time. At t = 3 , f equals to 9 and is rising at rate…

Q: Express the area A of a right triangle as a function of the height h if the base of the triangle is…

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Q: The average weight, W, in pounds of an adult is a function, W=f(c), of the average number of…

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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.