Answer:
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.