An Animal Shelter Mixes Two Brands of Dog Food

Multiple Choice

An animal shelter mixes two brands of dog food.Brand X costs $29 per bag and contains two units of nutritional element A,two units of element B,and two units of element C.Brand Y costs $22 per bag and contains one unit of nutritional element A,nine units of element B,and three units of element C.The minimum required amounts of nutrients A,B,and C are 12 units,36 units,and 24 units,respectively.What is the optimal number of bags of each brand that should be mixed? What is the optimal cost? ​

A) 9 bags of brand X 2 bags of brand Y
Optimal cost: $305
B) 6 bags of brand X 3 bags of brand Y
Optimal cost: $264
C) 2 bags of brand X 9 bags of brand Y
Optimal cost: $522
D) 18 bags of brand X 12 bags of brand Y
Optimal cost: $786
E) 3 bags of brand X 6 bags of brand Y
Optimal cost: $219