1. The problem asks which variables are basic in the basic solution (D) from the given system and table. 2. Recall that in a system of linear equations with slack variables, a basic variable is one that is not zero in the solution, while non-basic variables are zero. 3. The system is: $$ 2x_1 + 3x_2 + s_1 = 36 \\ 4x_1 + 3x_2 + s_2 = 48 $$ 4. The table shows solution (D) as: $$ x_1 = 18, \quad x_2 = 0, \quad s_1 = 0, \quad s_2 = -24 $$ 5. Variables with nonzero values are $x_1 = 18$ and $s_2 = -24$. However, slack variables $s_1$ and $s_2$ represent surplus or slack and are usually nonnegative in standard form. Here $s_2$ is negative, which may indicate an infeasible solution or a different interpretation. 6. Despite that, the basic variables are those with nonzero values in the solution vector. So in (D), the basic variables are $x_1$ and $s_2$. 7. Variables $x_2$ and $s_1$ are zero, so they are non-basic. **Final answer:** The basic variables in solution (D) are $x_1$ and $s_2$.