Problem $2$:

Complete on excel.

A small retail store, "The Nifty Nook," is planning a limited$-$time showcase. Due to space constraints $(20$ pounds$)$ and a $$700$ budget, they must carefully select products to maximize profit. The table below lists each product's weight, cost, and potential profit.

Product Name Weight $[$lb$]$ Cost $[$$$]$ Profit Cozy Knit Blanket $250100$ Vintage Vinyl Record Player $375150$ Sleek Smartwatch $14080$ Retro Gaming Console $4100200$ Stylish Tote Bag $260120$ Gourmet Coffee Maker $390180$ Portable Bluetooth Speaker $255110$ High$-$End Camera Lens $5125250$ Essential Oil Diffuser $13570$ Modern Desk Lamp $4110220$ Handmade Ceramic Mug $380160$ Eco$-$Friendly Reusable $24590$ Bottle $6150300$ Luxurious Throw Pillow $495190$ Solar$-$Powered Light $252\mathrm{.}5105$ Minimalist Jewelry Organizer

Determine the optimal product selection for the showcase that maximizes profit while adhering to the weight and budget limitations$.$

What is the optimal combination of products for the showcase? What is the total weight of the selected products? What is the total cost of the selected products?

What is the total profit from the showcase?