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Advocard [28]
3 years ago
14

*PLEASE HURRY WILL GIVE BRAINLY* A company's profits (in dollars) are modeled by the function p(x) = —x^2+ 1100x - 300000, where

x is the number of units produced. To determine the minimum number
of units that must be produced in order to earn profits of $590, the company plots the parabola of y = —x^2 1100x -- 300000 and the line x = 590, finds the intersection

of the two, and concludes that 900 units must be produced. Is the company correct? Explain, rounding values to the nearest whole number if necessary.
Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0
No, it’s not correct. The y-axis on the graph represents the profits p(x) so the minimum number of units produced should be when the a horizontal line at y = 590 first intersects the parabola drawn left to right, and not a vertical line at x = 590 because that represents the profit as 590 units are produced.
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Previous concepts

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The probability mass function for the Binomial distribution is given as:  

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Where (nCx) means combinatory and it's given by this formula:  

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Solution to the problem

We assume that we have a fair coin that is p(Head)=p(Tails)=0.5

For this case we define the random variable X as "number of heads observed in 20 times". The distribution for X is given by:

X \sim Binom(n=20, p=0.5)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

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Answer:

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