A warehouse is stacking up two different kinds of crates to save more space. The tall crate is 5 feet tall, while the short one is 3 feet tall. The warehouse manager is looking at two different options to stack them.

Question

Option A: Stack 3 short crates and 2 tall crates
Option B: Stack 4 short crates and 1 tall crate
If the manager can stack up to the height of the warehouse, which is 18 feet tall, are either of these options viable?

(1 point)
Responses

Option B is viable, but Option A is not.
Option B is viable, but Option A is not.

Both options are viable.
Both options are viable.

Option A is viable, but option B is not.
Option A is viable, but option B is not.

Neither option is viable.
Neither option is viable.

Answer 1

Let's calculate the total height for each option:

Option A:
Total height for 3 short crates = 3 crates * 3 feet/crate = 9 feet
Total height for 2 tall crates = 2 crates * 5 feet/crate = 10 feet
Total height for option A = 9 feet + 10 feet = 19 feet

Option B:
Total height for 4 short crates = 4 crates * 3 feet/crate = 12 feet
Total height for 1 tall crate = 1 crate * 5 feet/crate = 5 feet
Total height for option B = 12 feet + 5 feet = 17 feet

Comparing these heights to the maximum allowed height of the warehouse (18 feet):

Option A exceeds the height limit because 19 feet is greater than 18 feet.
Option B is within the height limit because 17 feet is less than 18 feet.

Therefore, only Option B is viable.

The correct response is:

Option B is viable, but Option A is not.