Formulate an appropriate model for this scenario

What will be an ideal response?


Answer: If the variables are assigned as in the table:

x1 = contractor works on wood floors x2 = landlord works on wood floors
x3 = contractor works on kitchen tile x4 = contractor works on kitchen tile
x5 = contractor works on back door x6 = contractor works on back door
x7 = contractor works on garage door x8 = contractor works on garage door

then an appropriate objective function will be:
Max Z = 100x1 + 100x2 + 80x3 + 80x4 + 15x5 + 15x6 + 20x7 + 20x8
Subject to:
x1 + x2 ≤ 1
x3 + x4 ≤ 1
x5 + x6 ≤ 1
x7 + x8 ≤ 1
2700x1 + 400x2 + 2500x3 + 1000x4 + 600x5 + 250x6 + 350x7 + 400x8 ≤ 3000
1x1 + 2x2 + 1.5x3 + 3x4 + 0.5x5 + 1x6 + 0.25x7 + 0.5x8 ≤ 4
x1, x2, x3, x4, x5, x6 , x7, x8 are 0,1

Business

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