Consider a hypothesis that opening a new store will be profitable. There is a $30\%$ chance this hypothesis is correct. The expected cost of opening a new store that will not be profitable is $$500,000,$ and the expected cost of not opening a new store that would be profitable is $$700,000.$

a$.$ The Type I and Type II error costs are $$350,000$ and $$210,000.$

b$.$ The Type I and Type II error costs are $$490,000$ and $$150,000.$

c$.$ The Type I and Type II error costs are $$490,000$ and $$210,000.$

d$.$ The Type I and Type II error costs are $$350,000$ and $$150,000.$