The next step in this process is to identify the best supplier for each ingredient. Justin requested Julia, his best friend who gained some experience in procurement after a recent internship, to contact some well-known suppliers, select one of them, and confirm their estimated costs.

After a few phone calls, Julia decided to choose Supplier A, whose costs of sugar and protein powder per gram are the same as the information provided in Question 1. The expected monthly demand also remains unchanged from Question 1. However, there’s a monthly capacity limitation for the supplier to source these ingredients.

Table 2: Supplier's capacity per month

Ingredients

Capacity (in grams)

Protein Powder

12000

Sugar

10000

Adjust the model from Question 1. What’s the minimum cost (in $) to fulfill the expected monthly demand considering Supplier A's capacity constraint? Keep in mind that you can use any type and combination of nutrition bars to fulfill the demand.

Round your answer to the nearest integer.