A staffing coordinator at a fulfillment center uses the expression ${}12\left(\frac{1}{3}n + \frac{3}{4}\right)$ to calculate the total labor hours needed for $n$ shifts. Which of the following represents the expression after it has been fully simplified using the distributive property?

A logistics manager uses the formula ${}12\left(\frac{1}{3}n + \frac{3}{4}\right)$ to determine the number of shipping crates required for $n$ shipments. Match each part of the distribution process with its corresponding result.

A regional operations manager uses the expression ${}12\left(\frac{1}{3}n + \frac{3}{4}\right)$ to calculate the total budget for $n$ facility upgrades. True or False: To simplify this expression using the distributive property, the manager must multiply both the term $\frac{1}{3}n$ and the term $\frac{3}{4}$ by the factor 12.

An inventory specialist at a distribution center is simplifying the expression ${}12\left(\frac{1}{3}n + \frac{3}{4}\right)$ to calculate the total number of specialized storage bins required for $n$ departments. Arrange the following steps in the correct order to simplify this expression completely using the distributive property, following the terms from left to right.

A scheduling director uses the expression ${}12\left(\frac{1}{3}n + \frac{3}{4}\right)$ to plan the weekly shifts for $n$ departments. When the director simplifies this expression by distributing the 12, the first term becomes ${}4n$ and the second term (the constant) becomes ____.

Simplifying Production Inspection Time

Operations Budgeting and the Distributive Property