a.

1. Happy Dog Inc. produces three types of dog food. PuppyBlend is produced for dogs that are less than a year old,Adult Blend for dogs between 1 and 8 years old, andGeriatric Blend for dogs older than 8 years. Each blend,sold in 5-pound bags, has a unique recipe that requires,among other ingredients, exact quantities of certain rawmaterials.Demand (inChickenFish MealSoy Flour5-lb. bags)Puppy Blend2.5 lbs.1.0 lbs.0.5 lbs.2,000Adult Blend1.5 lbs.2.0 lbs.0.5 lbs.8,000Geriatric Blend1.0 lbs.2.0 lbs.1.0 lbs.1,000Availability of10,000 lbs.20,000 Ibs.5,000 Ibs.raw materiala. Formulate a linear programming model that pro-duces as many bags of dog food as possible withoutexceeding the demand or the available supply of rawmaterial.b. Reformulate the linear programming model if thecompany is now interested in maximizing their profit(price - raw material cost) from dog food produc-tion. Assume that Puppy Blend sells for $9.50 perbag. Adult Blend sells for $8.50 per bag, and GeriatricBlend sells for $9.00 per bag. Further, chicken costs$2.50 per pound, fish meal costs $1.25 per pound.and soy flour costs $2.00 per pound. How does thisnew information change your linear programmingmodel?