Provide the cheapest Desktop computer build that can train and run large language models, and also fine-tune thousands of images for image generation models in a single day.
Give the specs and average prices for each component as of 2023.
Sure, These prices are as of 2023.

CPU: AMD Ryzen 7 5800X (389 USD)
GPU: NVIDIA GeForce RTX 3060 Ti (499 USD)
RAM: 32 GB DDR4-3200 (129 USD)
Storage: 1 TB NVMe SSD (100 USD)
Motherboard: B550 motherboard (129 USD)
Power supply: 650W 80+ Gold certified power supply (79 USD)
Case: Mid-tower ATX case (69 USD)
Operating system: Windows 10 Home (139 USD) or free.
The total cost of this build is around $1,633 USD. This build is capable of training and running large language models, such as GPT-3, and also fine-tuning thousands of images for image generation models, such as DALL-E 2. It is important to note that the prices of these components may vary depending on the retailer and the time of purchase, so look for a good deal.

Here are some additional tips for building a budget-friendly desktop computer for machine learning:

Use a power supply that is at least 650W. This will ensure that you have enough power to run all of the components in your build.

Don't forget to factor in the cost of a monitor, keyboard, and mouse. About $50 and up, or again could be free.
And if I was looking for an Inter CPU and an NVIDIA graphics card, what would be the best pc spec for $500 that can train and run large language models, and also fine-tune thousands of images for image generation models in a single day?
Since training language and image models requires large amounts of GPU power, most of your money should go there. You should also prioritize a GPU with a decent amount of VRAM, as well as adequate system memory. Unfortunately, you may need to buy used components from a site like EBay.

CPU: Intel Core i3 12100f ($90)

GPU: NVIDIA RTX 3060 12gb($210)

RAM: 16 gb ddr4($40

Motherboard: Gigabyte b660m DS3H($100)

SSD: Crucial P3 1tb($45)

Case: Thermal take Versa H18($50)

Power supply: EVGA GD 80+ gold($70)

The total cost is $610, which is above your specified budget, but I believe this PC will be the best for what you need. You could potentially save money on less storage or an older CPU if needed.