Formulate a model and make the calculation for the problem.

On farms 1, 2 and 3, with an area of 200, 400 and 600 hectares respectively, three crops are planned to be grown: rice, soybeans and maize, each requiring a minimum harvest of 3740kg, 1300kg and 7600kg respectively. The estimated yields for each of the three crops grown on each plot are shown below.

Table Unit yields of the three crops on different arable land (in kg/hm2)

Crop 1 2 3

Rice 110.5 96.5 90.0

Soybeans 60.0 67.5 52.5

Maize 150 135 127.5

If the crop sells for $1.1/kg for rice, $1.95/kg for soybeans and $0.95/kg for maize, what is the planting plan to maximize total revenue?

Is this answer correct?

Let x1,2,3 as rice planted on farms 1,2,3 Let y1,y2,y3 as soybeans planted on farms 1,2,3 Let z1,z2,z3 as maize planted on farms 1,2,3 maxZ=1.1(110.51+96.52+903)+1.95(60y1+67.5y2+52.5y3)+0.95(150z1+135z2+127.5z3)constraint:110.51+96.52+903374060y1+67.5y2+52.5y31300150z1+135z2+127.5z37600x1+y1+z1