Determine the optimal number of hours to use machines a and b to excavate and grade a cul-de-sac at minimum cost. solve using graphical method. a construction site has machines that simultaneously excavate and grade
machine a grades:
ga = 18.9 unit h-1
and excavates:
ea = 17.4 unit h-1
the cost to operate machine a is:
ca = 109 $ h-1
machine b grades:
gb = 8.41 unit h-1
and excavates:
eb = 23.9 unit h-1
the cost to operate machine b is:
cb = 109 $ h-1
each machine can be assigned to the cul-de-sac for no more than 10 hours.
amount of grading:
g = 100 unit
amount of excavating:
e = 150 unit
"units" here are a measure of volume.
what are the optimal number of hours to operate machine a? what are the optimal number of hours to operate machine b? what is the minimum cost to complete the excavation and grading?