CAlc2
Storyboard Tekst
- CHAPTER 2...
- I notice the graph seems to become negative near x = 100. This means that beyond this point it’s unlikely that the function has any practical meaning. Regardless, I will check asymptotic behavior to see if there is anything unusual.
- Hmmm.. I think I should first check to make sure that this model actually makes sense outside the interval for actual production cost. Let me graph it to get a better idea of what it might look like…
- I’m not too sure, but I can observe the extreme behaviors of this function, to get more of an idea of what might happen as we ramp up production .
- *GRAPH WITH CALCULATIONS ON BONUS PAGE*
- Can you find out if this cost model will hold up even if we produced more than 90 units, and if it would be better for minimizing costs?
- This indicates that there is a vertical asymptote at x=100 and there are no horizontal asymptotes for this function. This means that it’s not realistic to produce more than 100 units. The function suggests that as the number of units increases, the cost will indefinitely increase, however since the model has proven to be unrealistic after 100 it’s not safe to say this is definitely certain.
- The model will not hold up outside the boundaries of [10,90]. The optimal number of units would still be 42.451 which would be rounded to 42.
- I am so glad I used calculus to optimize my production costs! I am now drowning in my wealth!
- THE END!
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