11.2 HW - Mat 210, section 2427o, Spring 2021 | NebAssign Watch It Player | Cengage Learning [13.13/25 Points] DETAILS PREVIOUS ANSWERS WANEFMAC7 11.2.006. Find the marginal cost, marginal revenue, and marginal profit functions. C(x) = 4x2; R(x) = x3 + 5x + 11 %3D marginal cost 8x marginal revenue 3x2 + 5 marginal profit 3x- 11x+7 X Find all values of x for which the marginal profit is zero. Interpret your answer. (Enter your answers as a comma-separated list.)
Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.
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11.2 HW- Mat 210, section 24270, Spring 2021 |NebAssign
Watch It Player | Cengage Learning
1. [13.13/25 Points]
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PREVIOUS ANSWERS
WANEFMAC7 11.2.006.
Find the marginal cost, marginal revenue, and marginal profit functions.
C(x) = 4x2; R(x) = x³ + 5x + 11
%3D
%3D
marginal cost
8x
marginal revenue
3x +5
marginal profit
3x- 11x + 7 x
Find all values of x for which the marginal profit is zero. Interpret your answer. (Enter your answers as a comma-separated list.)
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WANEFMAC711.2.013.
Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x copies of an edition is given by
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