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Consider the following linear program Max 1A+ 1B s.t. 5A+3B 15 3A+5B15 A,B 0 a.What is the optimal solution for this problem?

Consider the following linear program
Max 1A+ 1B
s.t.
5A+3B≤ 15
3A+5B≤15
A,B≥ 0
a.What is the optimal solution for this problem?
b.Suppose that the objective function is changed to 1A+2B. find the new optimal solution.
Please show work.

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