First, let's find the lowest unit price and the corresponding container size:
Lowest Unit Price: $3.50 per 16 oz container
Next, we need to determine how many 16 oz containers Tony needs to purchase 3,600 oz of vegetable oil. We can calculate this using the following formula:
Number of 16 oz containers = Total required oz / Container Size (oz)
Number of 16 oz containers = 3600 oz / 16 oz ≈ 225 containers
Now, let's calculate the total cost if Tony purchases the 16 oz containers with the lowest unit price:
Total cost for 225 containers with the lowest unit price = Number of containers * Price per Container
Total cost for 225 containers with the lowest unit price = 225 containers * $3.50/container
Total cost for 225 containers with the lowest unit price = $787.50
Next, let's find the highest unit price and the corresponding container size:
Highest Unit Price: $11.50 per 64 oz container
Now, we need to determine how many 64 oz containers Tony needs to purchase 3,600 oz of vegetable oil. We can calculate this using the same formula:
Number of 64 oz containers = Total required oz / Container Size (oz)
Number of 64 oz containers = 3600 oz / 64 oz ≈ 56.25 containers
Since Tony cannot purchase a fraction of a container, he will need to round up to 57 containers of 64 oz each.
Now, let's calculate the total cost if Tony purchases the 64 oz containers with the highest unit price:
Total cost for 57 containers with the highest unit price = Number of containers * Price per Container
Total cost for 57 containers with the highest unit price = 57 containers * $11.50/container
Total cost for 57 containers with the highest unit price = $655.50
Finally, we can find how much Tony would save by purchasing the 16 oz containers with the lowest unit price compared to the 64 oz containers with the highest unit price:
Savings = Total cost with highest unit price - Total cost with lowest unit price
Savings = $655.50 - $787.50
Savings = $132.00
Tony would save $132.00 by purchasing the 16 oz containers with the lowest unit price instead of the 64 oz containers with the highest unit price.