Operative function: choose between maximize or minimize

1x+ 1Y choose > or

2x+ 4y choose

457 40- 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 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. Doug wants to determine the optimal product mix for a package of the biscuits to minimize the firm's cost. 35- 30- 25- Develop the L.P. Model for Doug to determine the optimal solution. 20- 15- Variables: X= number of liver flavored biscuit in a package Y = number of chicken flavored biscuit in a package 10- 5- Z. Objective Function: Min Z (in cents) = X+Y 0 ot 0 10 15 30 35 40 45 20 25 x Subject to: 1X + 18 40 (C1) 2X + 4Y 60 (C2) 18+ Y 516 (C3) X,Y 20