Question

A farmer plants wheat and rye.
• The farmer plants at least 3 acres of rye, but no more than 15.
• The farmer plants at least 1 acre of wheat, but no more than 7.
• The farmer has up to 20 acres available for planting the wheat and rye.
• Each acre of wheat makes a profit of $500.
• Each acre of rye makes a profit of $300.

Answer 1

1) Identify the variables.
2) Write the objective function for this
scenario.
3) Write the constraints for this scenario.
4) Graph the constraints and shade the
feasible region. Be sure to label the axes.
5) Is the feasible region bounded or
unbounded?
6) State if there is a maximum, minimum, or both for this scenario. Justify your answer.
7) Write the vertices for the feasible region
8) Write the values for objective function for each vertex of the feasible region identified
in Question 7. Write the values next to the vertices in Question 7.
9) State the number of acres of wheat and rye the farmer must plant to maximize his
profits.
10)Write the maximum profits the farm can earn in this scenario.

Answer 2

What are the answers for these questions??