Which of the following is a correct linear equation to set up for the amount of total cost to be allocated from personnel departments after receiving the service cost from the other departments $($assume that the intitals, A and $P,$ represent accounting and personnel departments, respectively$)?$

a$.P=$$$10,000+0\mathrm{.}2A$

b$.P=$$$10,000+0\mathrm{.}3A$

c$.P=$$$10,000+0\mathrm{.}15A$

d$.P=$$$10,000+0\mathrm{.}24A$