$3-$ A corporation is interested to extend its business through getting into agriculture. However, before that they want

to know how much profit the company can make if they move to this new business. There are three farms $($named $1,$

$2,$ and $3)$ that they are looking at; the usable acreage and available water per acre for each is shown under the column

UA and WA$,$ respectively in table below.

The corporation research shows that three crops $($named A$,$ B$,$ and C$)$ can be planted on these farms. The requirement

of each crop are minimum acreage $($MA$)$ and water consumption per acre $($W$)$ along with profits $($P$)$ in dollars per

acre are displayed in table below.

The corporation need to follow the union agreement, in which is mentioned uniform workload is required. This means

a percentage of the usable acreage planted must be the same at each farm. Also, this does not restrict the corporation

from planting a specific crop or combination of crops in each farm. Please formulate a linear programming model for

maximizing the profit.