The Fence Company is setting up a new production line to create top rails. The r
ID: 1206850 • Letter: T
Question
The Fence Company is setting up a new production line to create top rails. The relevant data for two alternatives are shown below.
PART A: Based on MARR of 8%, determine the annual rate of production for which the alternatives are equally economical.
PART B: If it is estimated that production will be 300 top rails per year what will be the total annual cost?
Flow Line Manufacturing Cell Installed Cost $15,000 $10,000 Expected Life 5 Years 5 Years Salvage Value $0 $0 Variable cost per top rail $6 $7Explanation / Answer
n= 5 i=0.08 for both the alternatives
Part A Let x be annual rate of production
15000(A/P,i,n) + 6x = 10000(A/P,i,n) + 7x
3757 - 2505 = x
So x = 1252
Part B
Annual cost of alternative FL = 15000(A/P,i,n) + 6*300 = 3757+1800 = $5557
Annual cost of alternative MC = 10000(A/P,i,n) + 7*300 = 2505+2100 = $4605
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