Adiet is to include at least 140 milligrams of vitamin a and at least 145 milligrams of vitamin b. these requirements can be obtained from two types of food. type x contains 10 milligrams of vitamin a and 20 milligrams of vitamin b per pound. type y contains 30 milligrams of vitamin a and 15 milligrams of vitamin b per pound. if type x food costs $12 per pound and type y food costs $8 per pound how many pounds of each type of food should be purchased to satisfy the requirements at the minimum cost? round to the nearest hundredths.