The amount of unused length:
LengthI = 240'
Current Length Used = I * SLength = 15 * 16' = 240'
Current Unused Length = LengthI - Current Length Used = 240' - 240' = 0'
Therefore, one can not change the length of
the parking stall without changing the optimal solution.
The amount of unused width in the edges:
LengthI = 240'
Current Length Used = I * SWidth = 30 * 8' = 240'
Current Unused Length = LengthI - Current Length Used = 240' - 240' = 0'
Therefore, one can not change the width of
the parking stalls on the edges without changing the optimal solution.
The amount of unused width in the main rectangle:
WidthJ= 350'
Current Width Used = J * SWidth = 43 * 8' = 344'
Current Unused Width = WidthJ - Current Width Used = 350' - 344' = 6'
Current Unused Width per Parking Stall = Current Unused Length / Number of Parking Stalls
= 6' / 43 = .1395'
Additional Width Required = SWidth - Current Unused Length = 8' - 2' = 6'
Per Parking Stall = 2' / Number of Parking
Stalls = .0465'
Therefore, one can increase the parking stall
width by up to .1395' or decrease the parking stall width by up
to .0465' in the main rectangle without changing the optimal solution.
Conclusion:
One can increase the parking stall width by .1395', or decrease the parking stall width by .0465' without changing the optimal solution.