Question 91088
C(t) is the number of bags of tortillas that can be produced per week after t weeks of production. 
Here is the rational function that was developed to best describe the fledgling company's production.
c (t)= 1000t^2 -10,000t / t^2-10t+25 
What does the graph of the function look like?
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To answer this question, find
a. The vertical asymptotes: t=5
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b. The horizontal asymptote:t = 1000
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c. The t intercepts, if any:
Let C(t) = 0; solve for t as follows:
1000t^2-10000t = 0
1000t(t-10) = 0
t-intercepts at t=0 and at t=10
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d. The C intercept, if any:
Let t=0 then C(0)=0
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I'll leave the following to you. 
e. The value of C(t) at: 
t = 10 weeks
t = 15 weeks
t = 20 weeks
t = 25 weeks
t = 30 weeks
t = 35 weeks
Show your calculations 
f. The value of C(t) at:
t = -5
t = -10 
What is the projected maximum number of bags of tortillas that the company can never exceed? Discuss this answer in terms of the horizontal asymptote.
C(t) can never reach or exceed 1000
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3. Can the company reach that maximum? If so, after how long 
No, 1000 is an asymtotic value; C(t) is always < 1000
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4. Give an interpretation of what might be happening to the company's production efforts from week 5 to week 10? Discuss this answer in detail.
During that interval C(t)<0 but increasing.
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5. In terms of the business application, is there any meaning for the value of C(t) when t = -5 and t = -10? Explain your answer.
It might model the production before t=0; or it might be meaningless
if the company did not exist during those weeks.
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Cheers,
Stan H.