Acounty has two offices that handle construction permits: each week, office a processes 300 permit applications, inspects 40 on-going projects and handles 90 complaints; office b processes 200 permit applications, inspects 80 on-going projects and handles 40 complaints (a) if the county has a total weekly demand of 2000 permit applications, 1000 inspections and 700 complaints, how many hours must each office work to best satisfy this demand. use the least-squares sense of "best", and use matlab to evaluate the relevant matrix expressions. (b) is this a reasonable answer? explain your response