The Hospital Cafeteria Staff Is Preparing 150 Servings of Chocolate $4 \frac { 1 } { 4 }$

The hospital cafeteria staff is preparing 150 servings of chocolate cake for lunch. Dry ingredients include $4 \frac { 1 } { 4 }$ cups of instant coffee, $17 \frac { 3 } { 4 }$ cups of white sugar, $6 \frac { 1 } { 3 }$ cups of all-purpose flour, and $\frac { 1 } { 2 }$ cup of confectioner's sugar. Find the total amount of dry ingredients needed for this recipe.

A) $28 \frac { 5 } { 6 }$ cups
B) $29 \frac { 5 } { 6 }$ cups
C) $27 \frac { 7 } { 6 }$ cups
D) $30 \frac { 5 } { 6 }$ cups
E) $26 \frac { 5 } { 6 }$ cups