Final answer:
The potatoes needed for an event with 100 guests, where each guest gets half a potato, will cost approximately $5.54, based on the price of $59.75 per 50-pound bag and a yield of 98%.
Step-by-step explanation:
The cost of potatoes for the event can be determined by first calculating the number of potatoes needed and then determining their cost.
Since each guest gets half a potato, for 100 guests, we need 50 potatoes.
With 11 small potatoes in a pound, we need approximately 4.545 pounds of potatoes.
The bags of potatoes have a yield of 98%, so we must account for the 2% waste, meaning we need 4.545 divided by 0.98, which equals approximately 4.638 pounds.
These potatoes are purchased in 50-pound bags at $59.75 each, so we calculate the cost per pound by dividing $59.75 by 50, which gives us $1.195 per pound.
The cost for 4.638 pounds of potatoes will be 4.638 multiplied by $1.195, which equals approximately $5.54.
Therefore, the potatoes will cost about $5.54 for this event.