Answer: (a) $197,500
(b) $ 189,500
Explanation:
Given : The marginal cost function : 
To find the cost function, we need to integrate the above function with respect to x.
Now, the additional cost incurred in dollars when production is increased from 100 units to 150 units will be:-
![\int^{150}_{100}\ C'(x)\ dx\\\\=\int^{150}_{100} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{150}_{100}\\\\=[4000(150)-\dfrac{0.4(150)^2}{2}-4000(100)+\dfrac{0.4(100)^2}{2}]\\\\=[600000-4500-400000+2000]\\\\=197500](https://tex.z-dn.net/?f=%5Cint%5E%7B150%7D_%7B100%7D%5C%20C%27%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B150%7D_%7B100%7D%20%284000-0.4x%29%5C%20dx%5C%5C%5C%5C%3D%5B4000x-%5Cdfrac%7B0.4x%5E2%7D%7B2%7D%5D%5E%7B150%7D_%7B100%7D%5C%5C%5C%5C%3D%5B4000%28150%29-%5Cdfrac%7B0.4%28150%29%5E2%7D%7B2%7D-4000%28100%29%2B%5Cdfrac%7B0.4%28100%29%5E2%7D%7B2%7D%5D%5C%5C%5C%5C%3D%5B600000-4500-400000%2B2000%5D%5C%5C%5C%5C%3D197500)
Hence, the additional cost incurred in dollars when production is increased from 100 units to 150 units= $197,500
Similarly, the additional cost incurred in dollars when production is increased from 500 units to 550 units :-
![\int^{550}_{500}\ C'(x)\ dx\\\\=\int^{550}_{500} (4000-0.4x)\ dx\\\\=[4000x-\dfrac{0.4x^2}{2}]^{550}_{500}\\\\=[4000(550)-\dfrac{0.4(550)^2}{2}-4000(500)+\dfrac{0.4(500)^2}{2}]\\\\=[2200000-60500-2000000+50000]\\\\=189,500](https://tex.z-dn.net/?f=%5Cint%5E%7B550%7D_%7B500%7D%5C%20C%27%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B550%7D_%7B500%7D%20%284000-0.4x%29%5C%20dx%5C%5C%5C%5C%3D%5B4000x-%5Cdfrac%7B0.4x%5E2%7D%7B2%7D%5D%5E%7B550%7D_%7B500%7D%5C%5C%5C%5C%3D%5B4000%28550%29-%5Cdfrac%7B0.4%28550%29%5E2%7D%7B2%7D-4000%28500%29%2B%5Cdfrac%7B0.4%28500%29%5E2%7D%7B2%7D%5D%5C%5C%5C%5C%3D%5B2200000-60500-2000000%2B50000%5D%5C%5C%5C%5C%3D189%2C500)
Hence, the additional cost incurred in dollars when production is increased from 500 units to 550 units = $ 189,500
The opening or introduction of your presentation is the ideal time to introduce the hypothesis. The tentative solutions are important about the presentation.
<h3 /><h3>What is a hypothesis?</h3>
A hypothesis is a theory that is put up as a potential explanation for a certain circumstance or condition but has not yet been shown to be true. Scientists can design a straightforward laboratory experiment to verify this theory.
In the context of science, a hypothesis is an assertion based on current knowledge that is appropriate for describing a particular phenomenon but whose validity has not been established or has not been independently tested.
Typically, the researcher's hypothesis is referred to as the alternative hypothesis, and any other result is referred to as the null hypothesis, or, more simply put, the opposite result from what was predicted.
Learn more about hypothesis, here
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Answer:
NO, court does not have subject matter jurisdiction over the landscaper's contract claim
Explanation:
given data
landscape work = $30,000
seeking in damages = $100,000
solution
landscaper assert and maintain claim against an home owner for breach of contract is no because court have diversity of an citizenship in the jurisdiction over an home owner for negligence claims .
we know that Federal Rule of Civil Procedure permit only counter claims and federal court have not any subject matter jurisdiction over an landscaper contract claims
Answer:
The statement is: False.
Explanation:
A penetration test consists of a series of test attacks against defense mechanisms existing in an environment that is being analyzed. These tests include the analysis of physical and digital devices to human factors using Social Engineering for that purpose.
Thus, <em>these tests must be carried out without prior notice to employees</em> so the evaluators can simulate what is the real defense and reaction the organization has in front of a threat.
