Thread: Creating a Piecewise Function

1. Creating a Piecewise Function

1.Bob is planning a convention and he is planning for potential attendance levels from 1000 people all the way up to 20000 people. He has the following costs. He is hiring one a speaker who is charging $5000 for the service, regardless of how many people attend the convention. He can secure a convention center large enough for 6000 people (but no more) for$85,000, or a center that can accommodate 20000 people for $300,000. The variable cost per fan is$15.00, which includes beverages and food. Create the piecewise function.

This is the problem I am having trouble with. It would be amazing if someone could help me!

2. Re: Creating a Piecewise Function

Originally Posted by TheRipePine
1.Bob is planning a convention and he is planning for potential attendance levels from 1000 people all the way up to 20000 people. He has the following costs. He is hiring one a speaker who is charging \$5000 for the service, regardless of how many people attend the convention. He can secure a convention center large enough for 6000 people (but no more) for \$85,000, or a center that can accommodate 20000 people for \$300,000. The variable cost per fan is \$15.00, which includes beverages and food. Create the piecewise function.

This is the problem I am having trouble with. It would be amazing if someone could help me!
escaped \$signs to make more readable 3. Re: Creating a Piecewise Function Originally Posted by TheRipePine 1.Bob is planning a convention and he is planning for potential attendance levels from 1000 people all the way up to 20000 people. He has the following costs. He is hiring one a speaker who is charging \$5000 for the service, regardless of how many people attend the convention. He can secure a convention center large enough for 6000 people (but no more) for \$85,000, or a center that can accommodate 20000 people for \$300,000. The variable cost per fan is \$15.00, which includes beverages and food. Create the piecewise function. This is the problem I am having trouble with. It would be amazing if someone could help me! let$n$be the number of fans that attend$TotalCost(n) = 5000 + 15n +\begin{cases}85000 &n\leq 6000 \\300000 &6000 < n \leq 20000 \end{cases}$or$TotalCost(n) = \begin{cases}90000 + 15n &n \leq 6000 \\ 305000+15n &6000 < n \leq 20000 \end{cases}\$

Of course Bob has to select one or the other prior to the convention, it's not like he can magically swap convention centers once the number of attendees hits 6000.

4. Re: Creating a Piecewise Function

Oh my goodness! Thank you so much!!