On january 1, 1988, felix inherited a perpetuity with annual payments beginning in six months. the first payment was $3,000, and after that the payments increased by 3% each year. find the value of this perpetuity on january 1, 1995 if the annual effective interest rate was 6% from january 1, 1988 through january 1, 1996 and 4% thereafter.

Oz makes lion food out of giraffe and gazelle meat. giraffe meat has 18 grams of protein and 36 grams of fat per pound, while gazelle meat has 36 grams of protein and 18 grams of fat per pound. a batch of lion food must contain at least "46,800" grams of protein and 70,200 grams of fat. giraffe meat costs $1/pound and gazelle meat costs $2/pound. how many pounds of each should go into each batch of lion food in order to minimize costs? hint [see example 2.]