An insurance company needs to determine the annual premium required to break even on fire protection policies with a face value of $$80,000.$ If $x$ is the claim size on these policies and the analysis is restricted to the losses $$20,000,$$$70,000,$ and $$80,000,$ then the probability distribution of $x$ is as shown in the table. What premium should customers be charged for the company to break even? Round your answer to the nearest dollar.

$\backslash$table$[[x,0,20,000,70,000,80,000],[P(x),0\mathrm{.}9950,0\mathrm{.}0031,0\mathrm{.}0011,0\mathrm{.}0008]]$

a$)$ $$202$

b$)$ $$14$

c$)$ $$42,500$

d$)$ $$203$

e$)$ $$40,600$