Question $2$: the given figure below is a layout of an existing warehouse. There are two types of aisles: one $-$ way aisles of $8$ unit distance wide, and two $-$ way aisles of $16$ unit distance wide. Each storage bay is $2020$ unit distance area, and three types of products $(C1,C2,C3)$ are to be stored in the warehouse. A and B indicate the receiving and shipping docks, respectively. The area requirement expected demand and variance for each product type are also provided.

$\backslash$table$[[$Product Type,Area,Load Rate $($Expected Demand$),$Variance$],[$C$1,6400,400,45],[$C$2,8800,400,35],[$C$3,2400,600,64]]$

a$)$ If each storage bay consists of $27$ storage slots, using randomized storage policy with normal distribution, does the above layout provide the desired warehouse capacity with $z=1\mathrm{.}96?$

b$)$ Assume the above warehouse layout is designed according to block racking model where the area of each bay is the same as the area of a single pallet $($one unit load$).$ The height of the pallet and the clearance between the load and rack are $20,$ and $5$ units distance, respectively. Calculate the dimensions of the warehouse if its capacity is $132$ pallets.

c$)$ Use the provided weighted distance in the figure below for each bay to determine the layout that will minimize the expected travel distance. $($hint: calculate the missing weighted distances first$).$

Question $2$: the given figure below is a layout of an existing warehouse. There are two types of aisles: one $-$ way aisles of $8$ unit distance wide, and two $-$ way aisles of $16$ unit distance wide. Each storage bay is $2020$ unit distance area, and three types of products $(C1,C2,C3)$ are to be stored in the warehouse. A and $B$ indicate the receiving and shipping docks, respectively. The area requirement expected demand and variance for each product type are also provided.

$\backslash$table$[[$Product Type,Area,Load Rate $($Expected Demand$),$Variance$],[$C$1,6400,400,45],[$C$2,8800,400,35],[$C$3,2400,600,64]]$

a$)$ If each storage bay consists of $27$ storage slots, using randomized storage policy with normal distribution, does the above layout provide the desired warehouse capacity with $z=1\mathrm{.}96?$