Please design an efficient layout based on the given parameters: storage spaces for different wood products, the frequency of loads received$/$entered per month, and the distances traveled from storage locations to docks.

Oak: $2,100m{m}^2$ and $550$ loads per month

Cedar: $600m{m}^2$ and $850$ loads per month

Pine: $900m{m}^2$ and $900$ loads per month

Maple: $1,200m{m}^2$ and $450$ loads per month

Mahogany: $2,700m{m}^2$ and $750$ loads per month

Account for dock assignments:

$30\%of$ product movement $ist\frac{o}{f}$rom $P1(truck$ delivery$).$

$70\%ist\frac{o}{f}$rom $P2,P3,$ and $P4(rail$ delivery$)$ distributed equally among them.

Minimize the total distance traveled $by$ products between storage bays and docks. Using Table $4,$ each product should ideally $be$ placed $in$ a location that minimizes travel $to$ the corresponding docks.

Allocate storage bays using color codes and considering distances:

Pine and Cedar have the highest number $of$ loads per month, $so$ they should $be$ placed $in$ bays closest $to$ the docks with the highest frequency $of$ movement.

Mahogany requires the most storage space but has fewer loads than Cedar $or$ Pine, $soit$ can $be$ placed slightly farther.

Maple and Oak have relatively lower loads, $so$ their positioning can $be$ optimized $to$ balance space requirements and minimize travel distance.

Allocation $of$ storage bays based $on$ Table $4$ distances:

Oak $(550$ load$\frac{s}{m}$onth$)$:

Oak requires more space $(2,100m{m}^2)$ and has moderate load frequency, $soit$ can $be$ placed $in$ a central location.

Place Oak near $P2,P3,orP4$ with medium travel distances.

Cedar $(850$ load$\frac{s}{m}$onth$)$:

Cedar has a high load frequency but smaller space requirements.

$It$ should $be$ placed close $to$ docks with shorter travel distances $to$ optimize handling $(nearP3orP4).$

Pine $(900$ load$\frac{s}{m}$onth$)$:

Pine has both a high load frequency and moderate space needs.

Position Pine close $to$ the dock $P1,as30\%of$ movement $is$ truck$-$based and close $to$ other rail docks.

Maple $(450$ load$\frac{s}{m}$onth$)$:

Maple requires less storage space but should $be$ close $to$ docks with minimal travel distances due $to$ its moderate load frequency.

Mahogany $(750$ load$\frac{s}{m}$onth$)$:

Mahogany, with the largest space requirement, can $be$ placed slightly farther from the busiest docks while still keeping travel distances reasonable.