# ?For the following problems, consider a restaurant owner who wants to sell T-shirts

**Chapter 1, Problem 334**

(choose chapter or problem)

For the following problems, consider a restaurant owner who wants to sell T-shirts advertising his brand. He recalls that there is a fixed cost and variable cost, although he does not remember the values. He does know that the T-shirt printing company charges $440 for 20 shirts and $1000 for 100 shirts.

In reality, the overall population is most likely increasing or decreasing throughout each year. Let’s reformulate the model as \(P(t)=82.5-67.5 \cos [(\pi / 6) t]+t\), where t is time in months ( t = 0 represents January 1) and P is population (in thousands). When is the first time the population reaches 200,000?

Text Transcription:

P(t)= 82.5-67.5cos[(pi/6)t]+t

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