Question

A dairy farmer concludes that his small herd of cows will need at least 3,850 pounds of protein in their winter feed, at least 24,640 pounds of total digestible nutrients and at least 43,400 international units of vitamin A. Each pound of alfalfa hay provides 0.11 pound of protein, 0.44 pound of digestible nutrients and 2.17 of vitamin A. Each pound of ground ears of corn supplies 0.055 pound of protein, 0.88 pound of digestible nutriendts and no vitamin A. Alfalfa hay costs $1 per 100-pound sack. Ground ears of corn costs $1.40 per 100-pound sack.

Answer 1

Let x be the number of pounds of alfalfa hay and y be the number of pounds of ground ears of corn to be bought. Give the inequalities that x and y must satisfy.

Answer 2

_____ > 3,850
_____ > 24,640
______ > 43,400, y>0

Express the cost of buying x pounds of alfalfa hay and y pounds of ground ears of corn.
Cost is _________.