Find the product. I will give brainliest
2 answers:
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Step-by-step explanation:
steps are in picture above.
<u>N</u><u>o</u><u>t</u><u>e</u><u> </u><u>:</u><u> </u><u>i</u><u>f</u><u> </u><u>y</u><u>o</u><u>u</u><u> </u><u>h</u><u>a</u><u>v</u><u>e</u><u> </u><u>a</u><u>n</u><u>y</u><u> </u><u>c</u><u>o</u><u>n</u><u>f</u><u>u</u><u>s</u><u>i</u><u>o</u><u>n</u><u> </u><u>l</u><u>e</u><u>t</u><u> </u><u>m</u><u>e</u><u> </u><u>know</u><u>.</u>
The question is an illustration of composite functions.
- Functions c(n) and h(n) are
and
- The composite function c(n(h)) is
- The value of c(n(100)) is
- The interpretation is: <em>"the cost of working for 100 hours is $130000"</em>
The given parameters are:
- $5000 in fixed costs plus an additional $250
- 5 systems in one hour of production
<u>(a) Functions c(n) and n(h)</u>
Let the number of system be n, and h be the number of hours
So, the cost function (c(n)) is:
This gives
The function for number of systems is:
<u>(b) Function c(n(h))</u>
In (a), we have:
Substitute n(h) for n in
Substitute
<u>(c) Find c(n(100))</u>
c(n(100)) means that h = 100.
So, we have:
<u>(d) Interpret (c)</u>
In (c), we have:
It means that:
The cost of working for 100 hours is $130000
Read more about composite functions at: