A plastics firm has received an order from the city recreation department to manufacture 10,000 special Styrofoam kickboards for its summer swimming program. The firm owns 10 machines, each of which...

A plastics firm has received an order from the city
recreation department to manufacture 10,000 special Styrofoam kickboards for its
summer swimming program. The firm owns 10 machines, each of which can
produce 35 kickboards an hour. The cost of setting up the machines to produce
the kickboards is $25 per machine. Once the machines have been set up, the
operation is fully automated and can be overseen by a single production supervisor
earning $12 per hour.
a)How many of the machines should be used to minimize the cost of
production?
b)How much will the supervisor earn during the production run if the optimal
number of machines is used?
c)How much will it cost to set up the optimal number of machines?