A farmer uses 657 acres to plant wheat and sunflowers. The profits will be the greatest if the farmer plants 287 acres more of wheat than of sunflowers. Find how many acres of each the farmer should plant.

sunflower on 185 acres and wheat on 472 acres

Step-by-step explanation:

The farmer must plant in such a manner that profit will be maximized based on the resources available. Given that profit (as a function of the acres used in planting) is greatest if the farmer plants 287 acres more of wheat than of sunflowers.

Let the acres used to plant sunflower be T then the acres for planting wheat will be T + 287,

As such,

T + T + 287 = 657

2T = 370

T = 185 acres

T + 287

= 185 + 287

= 472 acres

It means that the farmer plants sunflower on 185 acres and wheat on 472 acres.