If you need to roast 100,000 green beans annually, what is the smallest roaster you can use if you roast at 80% capacity?

To determine the smallest roaster that can efficiently handle the annual roasting requirement of 100,000 grams of green beans while operating at 80% capacity, we first need to understand the effective roasting capacity of the roaster.

1. Calculate the effective capacity required: Since the roaster will only operate at 80% capacity, we need to find the total capacity that would allow us to output 100,000 grams. To find the required capacity, you can divide the total amount of beans by the efficiency:

[ \text{Required Capacity} = \frac{\text{Total Beans}}{\text{Operational Capacity}} = \frac{100,000 \text{ grams}}{0.8} = 125,000 \text{ grams} ]

2. Convert to kilograms: Since roaster capacities are typically measured in kilograms, we convert grams to kilograms:

[ 125,000 \text{ grams} = 125 \text{ kg} ]

3. Determine the smallest roaster size: To find the smallest roaster that can meet this demand, we should choose a roaster size that can accommodate the required capacity.

• A 15 kg roaster,