Given below are two statements

Statement I: Breadth-First Search is optimal when all the step costs are equal whereas uniform-cost search is optimal with any step-cost.
Statement II: When all the step costs are same uniform-cost search expands more nodes at depth $d$ than the Breadth-First Search.
In light of the above statements, choose the correct answer from the options given below.

Utility-based agent works with utility value.

Utility value tells how good or bad a state is for the agent.

A happy state means higher utility.

An unhappy state means lower utility.

So, the agent that deals with happy and unhappy states is Utility-based agent.Breadth-First Search gives optimal solution when all step costs are equal.

Uniform-cost search gives optimal solution when step costs may be different but non-negative.

So, Statement I is true.

When all step costs are same, Uniform-cost search behaves like Breadth-First Search.
It expands nodes in increasing path-cost order, which becomes same as increasing depth order.
So, it does not expand more nodes at depth $d$ than Breadth-First Search.
Therefore, Statement II is false.