Consider the Following Model of the Labor Market:
Labor Supply $L ^ { 5 } = \bar { a } \times w + \bar { \ell }$

Consider the following model of the labor market:
Labor supply: $L ^ { 5 } = \bar { a } \times w + \bar { \ell }$
Labor demand: $L ^ { d } = \bar { f } - w$
The values of the equilibrium quantity of labor, L, and wage, w, are:

A) $L ^ { * } = ( \bar { a } \bar { f } + \bar { \ell } ) / ( \bar { \ell } + \bar { a } ) ; w ^ { * } = ( \bar { f } - \bar { \ell } ) / ( \bar { \ell } + \bar { a } )$
B) $L ^ { * } = ( \bar { a } \bar { f } + \bar { \ell } ) / ( \bar { \ell } + \bar { a } ) ; w ^ { * } = ( \bar { f } - \bar { \ell } ) / ( \bar { \ell } - \bar { a } )$
C) $L ^ { * } = ( \bar { a } \bar { f } + \bar { \ell } ) / ( \bar { \ell } + \bar { a } ) ; w ^ { * } = ( \bar { f } + \bar { \ell } ) / ( \bar { \ell } + \bar { a } )$
D) $L ^ { * } = ( \bar { a } \bar { f } + \bar { \ell } ) / ( \bar { \ell } - \bar { a } ) ; w ^ { * } = ( \bar { f } - \bar { \ell } ) / ( \bar { \ell } - \bar { a } )$
E) $L ^ { * } = \frac { \bar { a } \bar { f } + \bar { \ell } } { \bar { \ell } + \bar { a } } ; w ^ { * } = \frac { \bar { f } - \bar { \ell } } { \bar { \ell } - \bar { a } }$