The revenue for a certain product is given by the equation R(x)=100−400x+5−x, where x is the number of produced items. Find the value of x that results in maximum revenue.

Q: Find the number of units sold that yields a maximum annual revenue for a sporting goods…

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Q: y^2+x=8.Given that y is half of x,what are the values of x?

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Q: G=4/5 - 1/3 x 2/15 + 4/45

A: We need to find value of G.

Q: The demand for a product, in dollars, is p = 1200 − 0.2x − 0.0001x2 . Find the consumer surplus when…

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Q: Find the average daily inventory.

A: Given: A local pasta company receive 600 cases of alfredo sauce every 30 days. The number of cases…

Q: Approximate the value(s) of x that satisfies the equation lnx =x2 −1.

A: The given equation is: lnx=x2-1 To find the approximate value of x that satisfies the given…

Q: y = 4/x2

A: The given function is y=4x2. Sketch the graph of the above function as shown below.

Q: Given a revenue function R(x)=1,000+x2−e2x, calculate the average revenue when x=3. Give your…

A: Given: Revenue function given by: R(x) = 1000 + x2 - e2x To Find: Average Revenue when x = 3 Formula…

Q: y=x2e1/x.

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Q: For wages less than the maximum taxable wage base, Social Security contributions (including those…

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Q: An environmental protection agency discovered in the beginning of 2009 that a waste dump has been…

A: Let's find

Q: Find the point of diminishing returns for the given revenue function.…

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Q: The graph of a function f is shown below. 4 4 3 2 4-3 -2 -1 +1 -2 3

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Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

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Q: A supply company charges for 90-liter drums using the demand function p(x)=20.9−1.6x  What is the…

A: Given that demand function is: p(x) = 20.9 - 1.6x we need to write the revenue function.

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.