Fixed and variable costs for four potential plant locations are shown below:

$\backslash$table$[[$Location$,$Fixed Costs$/$year$,$Variable Cost$/$Unit$],[$A$,$RM $250,000,$RM $11],[$B$,$RM $100,000,$RM $30],[$C$,$RM $150,000,$RM $20],[$D$,$RM $200,000,$RM $35]]$

a$.$ If expected output at the selected location is to be $8,000$ units per year, which location would provide the lowest total cost?

b$.$ Plot the total$-$cost lines for these locations on a single graph

c$.$ Identify the range of output for which each alternative is superior $($i$.$e$.$ has the lowest total cost$)$