Problem $1(10$ points$),$SOLVE USING GERERIC FORM.

Model the following problem statement as a linear program with fully defining any parameters and decision variables that you use.

An organic cosmetic company manufactures three different products by four main ingredients: preservatives, vitamins, oils, fragrance. Each product needs to have around a certain percentage of each ingredient to maintain the registration of the products, where the percentages, the cost, and availability of the ingredients are detailed in the table below:

$\backslash$table$[[,,,,$Fragrance$],[,$Preservatives,Vitamins,Oils,At most $10\%$