Matthew S. answered • 02/21/20

PhD in Mathematics with extensive experience teaching Linear Algebra

Let c := # acres corn and w := # acres wheat

The objective function is 3*10*c + 4*25*w = 30c + 100w. We are maximizing.

The coefficient of c is $3/bushel * 10 bushels/acre

The coefficient of w is $4/bushel * 25 bushels/acre

Constraints:

4c + 10w ≤ 40 (maximum # of work hrs is 40)

c + w ≤ 7 (acreage constraint)

c ≥ 30/10 (must plant at least 3 acres of corn to get the required 10 bushels

w ≥ 0

Solution: c = 3, w = 2.8, revenue = $370