At the claims$-$processing office for Allstate Insurance, $25$ employees process $2,500$ claims a day. The claims$-$processing office for Blue Cross Insurance uses a state$-$of$-$the$-$art computer system, and its $15$ employees process $3,000$ claims a day.

$1.$ Which office is more productive? Explain in a narrative, and numerically your selected answer.

$2.$ At which office would you expect that employees are paid more? Why? In your answer, factor in both direct, and indirect costs

$3.$ Suppose that half the claims processed by the employees at Blue Cross contain errors and all of the claims processed at Allstate are done correctly. Which office would you say is more productive? Why?