Answer:
The fixed costs per month are $50,000.
Explanation:
The problem can be presented as a system of 2 equations with 2 variables:
Where:
<em>y</em> are the fixed costs,
<em>x </em>are the variable costs per unit produced.
You can solve the system by the method you like. In this case im using the Gaussian Elimination method.
We start with the following AX = b matrix.
![\left[\begin{array}{ccc}1&16000\\1&8000\\\end{array}\right] * \left[\begin{array}{ccc}y\\x\\\end{array}\right] = \left[\begin{array}{ccc}80000\\65000\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2616000%5C%5C1%268000%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2A%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dy%5C%5Cx%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D80000%5C%5C65000%5Cend%7Barray%7D%5Cright%5D)
We substract the second row by the first row.
![\left[\begin{array}{ccc}1&16000\\0&-8000\\\end{array}\right] = \left[\begin{array}{ccc}80000\\-15000\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2616000%5C%5C0%26-8000%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D80000%5C%5C-15000%5Cend%7Barray%7D%5Cright%5D)
We divide the second row by (-8000):
![\left[\begin{array}{ccc}1&16000\\0&1\\\end{array}\right] = \left[\begin{array}{ccc}80000\\1.875\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2616000%5C%5C0%261%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D80000%5C%5C1.875%5Cend%7Barray%7D%5Cright%5D)
We substract the first row by 16,000 times the second:
![\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] = \left[\begin{array}{ccc}50000\\1.875\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D50000%5C%5C1.875%5Cend%7Barray%7D%5Cright%5D)
Multiplying this reduced matrix by the X matrix to interpret the results:
![\left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] * \left[\begin{array}{ccc}y\\x\\\end{array}\right] = \left[\begin{array}{ccc}50000\\1.875\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%2A%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dy%5C%5Cx%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D50000%5C%5C1.875%5Cend%7Barray%7D%5Cright%5D)
We can say that Mendoza Company's has<em> y = $50,000</em> fixed costs and each unit costs <em>x = $1.875</em> to produce. Therefore the answer to the problem is $50,000.
Answer:
1.53 Million
Explanation:
The reason is that the Environment Protection Agency is a qualified organization and donations made to qualified organization are allowable expense under the US tax rules, so the gross income will include a net amount which is the actual amount left for Hal Gore and which is $1.53 million ($2.1 m - 0.57).
Answer:
Has failed his fiduciary duties and is responsible for any losses in value the owner has suffered.
Explanation:
In the above case, the manager has failed to maintain the units in proper working order and the property declines in value which is of a negative effect to the property owner.
In this case, the tenant has the option of hiring an outside party to make the necessary repairs. The tenant should do that in good faith and should be reasonable in choosing who to make the repairs. This cost will probably be deducted from their next rent check.
Also, if the problem violates state or local building or health codes, a tenant may decide to contact the local authorities regarding the issue. If inspectors come out and find the problem, the landlord may face an order to fix the problem, plus possible fines and/or penalties.
