Solve the Following Problem Graphically

question 7

Essay

Solve the following problem graphically.
Max X + 2Y
s.t.6X + 8Y < 48
7X + 5Y > 35
X,Y > 0
Y integer
a.Graph the constraints for this problem.Indicate all feasible solutions.
b.Find the optimal solution to the LP Relaxation.Round down to find a feasible integer solution.Is this solution optimal?
c.Find the optimal solution.

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Definitions:

School Buildings

Structures designed and constructed specifically for educational activities and to accommodate students and faculty.

Farm Equipment

Machinery and tools used in the agricultural sector to improve efficiency, productivity, and the quality of farm operations.

Capital-Saving

Technology or methods that allow the same level of production with less investment in capital.

Technological Advance

The process of introducing new technologies or improving existing ones to increase efficiency, productivity, or quality.