- #1
SMA_01
- 218
- 0
An oil spill has fouled 200 miles of shoreline. The oil company responsible has been given 14 days to clean up the shoreline, after which a fine of $$10/day$ will be imposed. The local clean up crew can scrub 5 miles of beach per week at a cost of $500/day. Additional crews can be brought in at a cost of $18 plus $800/day for each crew. How many additional crews should be brought into minimize the total cost to the company?
I'm supposed to use these variables:
n= total number of crews, including the local crew
n_0=number of crews required to clean up the shoreline in exactly 14 days
t= number of days to clean up the oil spill
c= total cost (measured in thousands of dollars)
t=the amount of the fine (measure in thousands of dollars)
I'm stuck on this, I am having difficulty putting the pieces together. I'm supposed to find a formula for t in terms of n, t(n).
How can I relate the number of days to finish the job to the number of crews? How can I find the number of additional crews with my given variables?
I know that if t>14 or n<n0, then they will have to pay a fine...
I'm supposed to use these variables:
n= total number of crews, including the local crew
n_0=number of crews required to clean up the shoreline in exactly 14 days
t= number of days to clean up the oil spill
c= total cost (measured in thousands of dollars)
t=the amount of the fine (measure in thousands of dollars)
I'm stuck on this, I am having difficulty putting the pieces together. I'm supposed to find a formula for t in terms of n, t(n).
How can I relate the number of days to finish the job to the number of crews? How can I find the number of additional crews with my given variables?
I know that if t>14 or n<n0, then they will have to pay a fine...