Apencil manufacturer uses 5,376 grams of rubber to make 960 pencils. if they use 64,512 grams of rubber an hour, how many pencils are made per hour?

a) 11,420 pencils per hour
b) 11,480 pencils per hour
c) 11,520 pencils per hour
d) 11,580 pencils per hour

Your vet has placed your pet on a diet. the diet is to contain at least 12 mg of fat and at least 14 mg of protein per serving. these requirements are to be obtained from two food sources. source a contains 2 mg of fat and 2 mg of protein per serving. source b contains 1 mg of fat and 3 mg of protein per serving. if source a sells for $1.28 per serving and source b sells for $1.12 per serving, how many servings of each type should be purchased to satisfy the requirements at minimal cost?