king tech is ready to begin production of its existing new technology. the company is evaluating $3$ of production:

a$.$ a small production facility with older equipment

b$.$ a large production facility that is more automated

c$.$ subcontracting to an electronics manufacturer in nigeria.

the cost of each alternative is shown below.

process A $,$B$,$C

fixed cost $2000,6000,0$

vaiable cost $40,20,60$

i$.$ formulate the total cost function for each process

ii$.$ for each cost function in i above, determine $2$ total cost values corresponding to volumes $0$ and $500$

iii plot the $3$ cost curves on the same axis

iv$.$ for what levels of demand should each process be chosen