question 2 please a-b

2. Solve the following problem showing all constraints and functions used. Land Management A farm co-op has two farms, one at Spring Run and one at Willow Bend, where it grows corn and soybeans. Differences between the farms affect the associated costs and yield of each crop, as shown in the following table. (TURN OVER) Corn Soybeans Yield Cost/ Acre Yield Cost/ Acre (bu/acre) (bu/acre) Spring 450 $330 360 $297 Run Willow 585 $396 315 $264 Bend Each farm has 100 acres available to plant, and the total desired yields are at least 46,800 bushels of corn and at least 42,300 bushels of soybeans. a. Write a linear programming problem that describes this land management problem. b. Find how many acres of each crop should be planted at each farm to achieve the desired crop yields at minimum cost. What is the minimum cost