Country A has a population of $1,000,$ of whom $800$ work $8$ hours a day to make $128,000$ final goods. Country B has population of $2,000,$ of whom $1,800$ work $6$ hours a day to make $270,000$ final goods.

a$.$ Country A has lower productivity but higher real GDP per person than country B$.$

b$.$ Country A has higher productivity and higher real GDP per person than country B$.$

c$.$ Country A has higher productivity but lower real GDP per person than country B$.$

d$.$ Country A has lower productivity and lower real GDP per person than country B$.$