A machine manufacturer sells each machine for $$7,900.$ The fixed costs are $$286,800$ per annum, variable costs are $$1,850$ per machine, and the production capacity is $55$ machines in a year.

a$.$ What is the break$-$even volume?

Round up to the next whole number

b$.$ What is the break$-$even revenue?

Round to the nearest cent

c$.$ What is break$-$even as a percent of capacity per annum?

$\%$

Round to two decimal places.

d$.$ What is the profit or loss made if $65$ machines are sold in a year?

Round to the nearest cent