Number of boards = x
(a) Fixed Cost = $250
Variable cost = 1.10x
Total Cost = TCa = 250 + 1.10x
(b) Fixed Cost = $1000
Variable cost = 0.85x
Total Cost = TCb = 1000 + 0.85x
(c) Fixed Cost = $1750
Variable cost = 0.40x
Total Cost = TCc = 1750 + 0.40x
Let us now calculate the cost for values of ranging from 0 to 5000 in intervals of 500
#Boards (x) | TCa | TCb | TCc |
0 | 250 | 1000 | 1750 |
500 | 800 | 1425 | 1950 |
1000 | 1350 | 1850 | 2150 |
1500 | 1900 | 2275 | 2350 |
2000 | 2450 | 2700 | 2550 |
2500 | 3000 | 3125 | 2750 |
3000 | 3550 | 3550 | 2950 |
3500 | 4100 | 3975 | 3150 |
4000 | 4650 | 4400 | 3350 |
4500 | 5200 | 4825 | 3550 |
5000 | 5750 | 5250 | 3750 |
Plotting the above -
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