Turn the word problem unto a LP; do not solve.

Mr. McGregor designs outdoor living spaces intended to attract rabbits. He know that rabbits weigh lettuce at 5 units of happiness, French bean plants at 3 units of happiness, and radishes at 2 units of happiness. He is subject to the following issues. He only has 37 dollars in his budget, and only has 200 pots to plant in. Lettuce seed packets cost $1.13, and have eight seeds. French bean seed packets cost $2.16 have twelve seeds. Radish seed packets cost $5.19, and have fourteen seeds. Assume each pot gets one seed, and each will germinate. His wife forbids him from planting more than 50 pots of lettuce. Build a LP that tells how many of each type of seed packet he should buy.