A Pork Producer Is Considering Two Types of Feed That

Multiple Choice

A pork producer is considering two types of feed that contain the necessary ingredients for the nutritional requirements for fattening hogs. Brand X contains 2 units of ingredient A per pound and 15 units of ingredient B per pound, Brand Y contains 15 units of ingredient A per pound and 2 units of ingredient B per pound. The nutritional requirements for the hogs are at least 120 units of ingredient A and at least ​237 units of ingredient B. If brand X costs 65 cents per pound and brand Y costs 80 cents per pound, how many pounds of each brand should be bought to satisfy the nutritional requirements at minimum cost? ​

A) 10 lbs of brand X and 5 lbs of brand Y meets the needs at minimum cost.
B) 15 lbs of brand X and 5 lbs of brand Y meets the needs at minimum cost.
C) 10 lbs of brand X and 6 lbs of brand Y meets the needs at minimum cost.
D) 6 lbs of brand X and 15 lbs of brand Y meets the needs at minimum cost.
E) 15 lbs of brand X and 6 lbs of brand Y meets the needs at minimum cost.