As a material engineer working for a highway department,

a$.(10\%)$ what standard PG asphalt binder grade would you specify for each of the conditions shown in the following table $($show all calculations and fill in the table$)?$

$\backslash$table$[[,\backslash$table$[[$Seven$-$Day Maximum$],[$Pavement Temperature$]],\backslash$table$[[$Minimum$],[$Pavement Temperature$]],\backslash$table$[[$Recommended$],[$PG Grade$]]],[$case$,$Mean, ${?}^C,\backslash$table$[[$Standard$],[$deviation$,C$