The following problem can be solved using (LP) Linear Programming, Please define each variable and restriction.

You’re working for a Dairy company. The company realized that several of its products can increase profitability and generate savings without affecting sensory profiles. your boss asked you to lead the vanilla ice cream reformulation aiming for cost reduction. The currently formula managed by the company is the next table:

Below you will find a list of all the materials that the company uses and you can use to reformulate. You will also find each ingredient composition and the percentage of use that the company allows.

Based on the above information, propose an alternative formula aiming for cost reduction but taking into account the following product restrictions:

Total Fat % in the product: Min.4.5%

Total Protein % in the product: 3%–4%

Total Solids in the product: Min 24%

Ingredient Whole milk kg 799 Cream 25 Whole milk powder 45 Sugar 130 Vanilla Flavor Total 1000