Question

Julia is opening a clothing store. She plans to start by selling sweatshirts. It

costs her $9.50 for each sweatshirt, $5 for ink per sweatshirt, and $0.20 a
bag. Julia also spends $1000 on rent, $40 on electricity, and $35 on
advertising each month. What is the cost function for Julia's clothing store
per month?

Answer 1

`C_(Total)=14.7x+1075`

Explanation:

Let the number of sweatshirts purchased be
`x`.

Now, cost for each sweatshirt is $ 9.50.

So, cost for
`x` sweatshirts,
`C_(x)=9.50* x=9.50x`

Cost of ink per sweatshirt is $ 5.

So, cost for ink of
`x` sweatshirts,
`C_(ink)=5* x=5x`

Cost of 1 bag of sweatshirt is $ 0.20

So, cost of
`x` bags of sweatshirt,
`C_(bag)=0.20* x=0.20x`

Money spent on rent,
`C_(rent)=\$ 1000`

Money spent on electricity,
`C_(elec)=\$40`

Money spent on advertisement,
`C_(ad)=\$35`

Therefore, the total cost function for Julia's clothing store per month is given as the sum of all cost and is equal to:

Total cost,

`C_(Total)=C_(x)+C_(ink)+C_(bag)+C_(rent)+C_(elec)+C_(ad)\\C_(Total)=9.50x+5x+0.20x+1000+40+35\\C_(Total)=14.7x+1075`