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Solve the Following Problem Graphically

question 12

Essay

Solve the following problem graphically.
Max
X + 2Y
s.t.
6X + 8Y ≤ 48
7X + 5Y ≥ 35
X, Y ≥ 0
Y is 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.


Definitions:

Years Ago

A term used to reference a specific amount of time before the present, often used in historical and geological contexts.

Global Warming

The long-term rise in Earth's average surface temperature, driven by human activities that increase greenhouse gases in the atmosphere.

Water Vapour

The gaseous phase of water, present in the atmosphere and a major component of the earth's hydrological cycle.

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