Business math application
Not what you're looking for?
I have attached the questions.
This problem set involves a formula (a rational function) with which a new tortilla company might be able to forecast its production over the first few weeks of operation.
In this formula, 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.
1. What does the graph of the function look like? To answer this question, find:
a. The vertical asymptotes, if any:
b. The horizontal asymptote, if any:
c. The t intercepts, if any:
d. The C intercept, if any:
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
2. 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.
3. Can the company reach that maximum? If so, after how long?
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.
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.
Purchase this Solution
Solution Summary
This provides an example of working with algebra in a given business situation, including maximum and asymptote, and working with functions.
Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Probability Quiz
Some questions on probability
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.