An enterprising farmer wants to devote some of his land to the raising of hogs, chickens, and

Question:

An enterprising farmer wants to devote some of his land to the raising of hogs, chickens, and ostriches. He will use no more than 1000 square yards for this purpose. After deducting the cost of feed, he decides that he can profit by \(\$ 500\) per hog, \(\$ 50\) per chicken, and \(\$ 1000\) per ostrich. Each ostrich, however, requires at least 100 square yards, each hog 20 square yards, and each chicken 5 square yards of his property. Also, he wishes to spend no more than 500 hours during the season tending to the animals, and each hog requires 10 hours, each ostrich 20 hours, and each chicken 5 hours of his time. What combination of hogs, chickens, and ostriches should he choose to raise, and what is the maximum profit he can achieve?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: