import math

# Given data

unit$\_$cost $=350$ # Cost per chip

holding$\_$cost$\_$fixed $=35$ # Fixed holding cost per unit per year

holding$\_$cost$\_$percentage $=0\mathrm{.}1$ # $10\%$ holding cost

ordering$\_$cost $=122$ # Ordering cost per order

annual$\_$demand $=395*12$ # Annual demand $(395$ per month$)$

# Price structure

prices $=\{$

$\text{'}1-99\text{'}$: $350,$

$\text{'}100-199\text{'}$: $325,$

$\text{'}200$ or more': $300$

$\}$

# Calculate EOQ and total annual cost for each price tier

total$\_$costs$\_$fixed $=\{\}$

for tier, price in prices.items$()$:

if tier $==\text{'}1-99\text{'}$:

EOQ$\_$fixed $=$ math.sqrt$((2*$ annual$\_$demand $*$ ordering$\_$cost$)/$ holding$\_$cost$\_$fixed$)$

elif tier $==\text{'}100-199\text{'}$:

EOQ$\_$fixed $=$ math.sqrt$((2*$ annual$\_$demand $*$ ordering$\_$cost$)/($holding$\_$cost$\_$fixed $*($price $/$ prices$[\text{'}1-99\text{'}])))$

else:

EOQ$\_$fixed $=$ math.sqrt$((2*$ annual$\_$demand $*$ ordering$\_$cost$)/($holding$\_$cost$\_$fixed $*($price $/$ prices$[\text{'}1-99\text{'}])))$

total$\_$cost$\_$fixed $=($annual$\_$demand $/$ EOQ$\_$fixed$)*$ ordering$\_$cost $+($EOQ$\_$fixed $/2)*$ holding$\_$cost$\_$fixed $+$ annual$\_$demand $*$ price

total$\_$costs$\_$fixed$[$tier$]=$ total$\_$cost$\_$fixed

# Find the minimum total annual cost for fixed holding cost

min$\_$cost$\_$tier$\_$fixed $=$ min$($total$\_$costs$\_$fixed, key$=$total$\_$costs$\_$fixed.get$)$

optimal$\_$order$\_$quantity$\_$fixed $=$ round$($EOQ$\_$fixed$)$

minimum$\_$annual$\_$cost$\_$fixed $=$ round$($total$\_$costs$\_$fixed$[$min$\_$cost$\_$tier$\_$fixed$])$

# Calculate holding cost as percentage of unit cost

holding$\_$cost$\_$percentage$\_$per$\_$unit $=$ unit$\_$cost $*$ holding$\_$cost$\_$percentage

# Calculate EOQ and total annual cost with percentage holding cost

EOQ$\_$percentage $=$ math.sqrt$((2*$ annual$\_$demand $*$ ordering$\_$cost$)/$ holding$\_$cost$\_$percentage$\_$per$\_$unit$)$

total$\_$cost$\_$percentage $=($annual$\_$demand $/$ EOQ$\_$percentage$)*$ ordering$\_$cost $+($EOQ$\_$percentage $/2)*$ holding$\_$cost$\_$percentage$\_$per$\_$unit $+$ annual$\_$demand $*$ unit$\_$cost

optimal$\_$order$\_$quantity$\_$percentage $=$ round$($EOQ$\_$percentage$)$

minimum$\_$annual$\_$cost$\_$percentage $=$ round$($total$\_$cost$\_$percentage$)$

# Print results for Part $2$a

print$("$Part $2$a:$")$

print$("$The optimal order quantity after the change in pricing structure is:$",$ optimal$\_$order$\_$quantity$\_$fixed, "units"$)$

print$("$The total annual cost for Bell Computers to order, purchase, and hold the integrated chips is: $$",$ minimum$\_$annual$\_$cost$\_$fixed$)$

# Print results for Part $2$b

print$("$

Part $2$b:$")$

print$("$The optimal order quantity after the change in the holding cost calculation is:$",$ optimal$\_$order$\_$quantity$\_$percentage, "units"$)$

print$("$The total annual cost for Bell Computers to order, purchase, and hold the integrated chips is: $$",$ minimum$\_$annual$\_$cost$\_$percentage$)$