Answer:
Explanation:
We can use the following method to solve the given problem
We are given following
Annual demand,
D = 20000*12
D = 240,000 sqft
Fixed order cost, is given as
S = $ 400
Considering the unit cost, is given as
C = $ 1
Holding cost, H = 1*20% = $ 0.2
EOQ = sqrt(2DS/H)
= √(2*240000*400/0.2)
= 30,984 sq ft
This is higher than 20,000 and less than 40,000 sq ft. For this reason, the applicable price for this quantity is $ 0.98
For C = $ 0.98, holding cost, H = 0.98*20% = $ 0.196
Revised EOQ = sqrt(2*240000*400/0.196) = 31,298 sq ft
Total annual cost of EOQ policy = D*C + H*Q/2 + S*D/Q
= 240000*0.98 + 0.196*31298/2 + 400*240000/31298
= $ 241,334.5
Now consider the next level of price, C = $ 0.96
Holding cost, H = 0.96*20% = $ 0.192
EOQ = sqrt(2*240000*400/0.192)
= 31633 sqft
This amount is will not be feasible for this price, because it requires a minimum order of 40000 sqft.
Therefore, Q = 40,000
Total annual cost = 240000*0.96 + 0.192*40000/2 + 400*240000/40000
Total annual cost = $ 236,640
Total annual cost is lowest for order quantity of 40,000 sq ft.
1) Optimal lot size = 40,000 sq ft.
2) the annual cost of this policy
= $ 236,640
3) the cycle inventory of plywood at Prefab = Q/2 = 40000/2
At prefeb= 20,000 sq ft
4) let's assume the manufacturer sells all plywood at $ 0.96, then
Holding cost, H = 0.96*20%
H= $ 0.192
EOQ = sqrt(2*240000*400/0.192)
EOQ = 31633 sqft
Total annual cost = 240000*0.96 + 0.192*31633/2 + 400*240000/31633
Total annual cost = $ 236,471.6
Difference in total annual cost = 236640 - 236471.6 = $ 168.4
