Please show all work. Please do not use excel

Doug 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 biscuit 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 12 liver flavored biscuits in a package. It costs 1e to make 1 liver flavored biscuit and 24 to make 1 chicken flavored. Doug 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