Answer:
[tex]C_{Total}=14.7x+1075[/tex]
Step-by-step explanation:
Let the number of sweatshirts purchased be [tex]x[/tex].
Now, cost for each sweatshirt is $ 9.50.
So, cost for [tex]x[/tex] sweatshirts, [tex]C_{x}=9.50\times x=9.50x[/tex]
Cost of ink per sweatshirt is $ 5.
So, cost for ink of [tex]x[/tex] sweatshirts, [tex]C_{ink}=5\times x=5x[/tex]
Cost of 1 bag of sweatshirt is $ 0.20
So, cost of [tex]x[/tex] bags of sweatshirt, [tex]C_{bag}=0.20\times x=0.20x[/tex]
Money spent on rent, [tex]C_{rent}=\$ 1000[/tex]
Money spent on electricity, [tex]C_{elec}=\$40[/tex]
Money spent on advertisement, [tex]C_{ad}=\$35[/tex]
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,
[tex]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[/tex]
