Make or buy decision

Rivertown Electronics needs to procure a key component for an upcoming device and is debating between two procurement methods: purchasing from an external vendor or manufacturing it internally. The annual demand for this component is projected to be $15,000$ units.

Rivertown calculates its holding cost to be $20\%$ per year and has received the following proposals:

Option $1$: Purchase from a vendor. TechSupply has offered Rivertown a price of $$35$ per unit. Due to the need for specialized tooling, TechSupply also requires a fixed fee of $$1,200$ per batch. Rivertown anticipates an additional $$150$ per order plus $$3$ per unit in shipping fees. TechSupply can produce at most $1,500$ units per batch.

Option $2$: In$-$house production. Rivertown estimates it can manufacture the component at a rate of $100$ per day $($assuming $200$ working days per year$).$ Due to less efficient tooling processes compared to TechSupply, tooling will cost Rivertown $$5,000$ per batch, and each unit costs $$38$ to produce $($with no shipping costs as it is in$-$house$).$

Question:

What is the total cost from the vendor?

What is the total cost from in$-$house production?

What per unit discount would TechSupply need to offer for Rivertown to reconsider its choice? Calculate to the nearest cent and enter the answer in terms of dollars $($e$.$g$.1$ cent should be entered as $0\mathrm{.}01).$