Green Bay Lumber and Mill $($GBLM$)$ processes $10,000$ logs annually, operating $250$ days per year. Immediately upon receiving an order, the logging company's supplier begins delivery to the lumber mill at the rate of $60$ logs per day. The lumber mill has determined that the ordering cost is $$1,600$ per order, and the cost of holding logs in inventory before they are processes is $$15$ per log on the annual basis. Determine the following:

$-$The optimum order size

$-$The total of annual inventory holding and ordering costs

$-$If another supplier suggests that they can deliver at the rate of $200$ logs per day with the same ordering and holding costs,

should GBLM accept this suggestion?

Show work and for all calculations round up two decimal places.