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\begin{tabular}{l} How many full cases and additional items \\ are needed to fulfill the order? \\ ITEMS ORDERED \\ \hline 80 \\ \hline\end{tabular}

Ask by Collins Ward. in the United States
Jan 24,2025

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Answer

To determine how many full cases and additional items are needed for 80 items, you need to know the case capacity. 1. Divide the total items by the case capacity to find the number of full cases. 2. Use the remainder to find the number of additional items. For example: - If a case holds 12 items: 6 full cases and 8 additional items. - If a case holds 20 items: 4 full cases and no additional items. Please provide the case capacity for exact calculations.

Solution

To determine how many full cases and additional items are needed to fulfill an order of 80 items, you need to know the capacity of each case (i.e., how many items fit into one case). **Here's how you can calculate it once you have the case capacity:** 1. **Divide the total number of items by the number of items per case.** \[ \text{Number of Full Cases} = \left\lfloor \frac{\text{Total Items}}{\text{Items per Case}} \right\rfloor \] 2. **Find the remainder to determine the number of additional items.** \[ \text{Additional Items} = \text{Total Items} \mod \text{Items per Case} \] **Example Scenarios:** 1. **If each case holds 12 items:** \[ \text{Number of Full Cases} = \left\lfloor \frac{80}{12} \right\rfloor = 6 \text{ cases} \] \[ \text{Additional Items} = 80 \mod 12 = 8 \text{ items} \] *Result:* 6 full cases and 8 additional items. 2. **If each case holds 20 items:** \[ \text{Number of Full Cases} = \left\lfloor \frac{80}{20} \right\rfloor = 4 \text{ cases} \] \[ \text{Additional Items} = 80 \mod 20 = 0 \text{ items} \] *Result:* 4 full cases and no additional items. **Please provide the number of items that each case can hold, and I can help you calculate the exact number of full cases and additional items needed for your order of 80 items.**

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The Deep Dive

To fulfill the order of 80 items, let's say each full case contains 12 items. To determine how many full cases you need, divide 80 by 12. This gives you 6 full cases (6 x 12 = 72 items). Now, subtract 72 from 80 to find how many additional items are needed: 80 - 72 = 8. So, you will need 6 full cases and 8 additional items to complete the order! In supply chain management, knowing how to efficiently fulfill orders can save money and improve customer satisfaction. For instance, in this scenario, ordering enough full cases helps to minimize shipping costs and keeps inventory handling organized. Understanding these principles can streamline operations and ensure that businesses meet demand without overstocking.

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