Kaleena Turner Food Processors wishes to introduce a new brand of dog biscuits composed of chicken and liver flavored biscuits that meet certain nutritional requirements. The liver flavored biscuits contain $1$ unit of nutrient A and $2$ units of nutrient $B$; the chicken flavored biscuits contain $1$ unit of nutrient A and $4$ units of nutrient $B.$ According to federal requirements, there must be at least $40$ units of nutrient A and $60$ units of nutrient $B$ in a package of the new mix. In addition, the company has decided that there can be no more than $16$ liver flavored biscuits in a package. It costs $1$ to make $1$ liver flavored biscuit and $2$ to make $1$ chicken flavored. Kaleena wants to determine the optimal product mix for a package of the biscuits to minimize the firm's cost.

The aim of the objective function should be to the objective value.

The optimum solution is:

Number of liver flavored biscuits in a package $=$

$($round your response to two decimal places$).$

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