You are shipping $270$ diamonds to a customer located $2,000$ miles away. The average value of the diamonds is $$1,600.$ You can ship via air for $$470$ and the diamonds will arrive in two days or you can ship via a specialty ground carrier for $$240$ and the diamonds will arrive in six days. You figure your inventory carrying cost is $15$ percent. Your customer will immediately transfer funds to your bank account on receipt of the shipment.

What is your total cost if you use the ground carrier and the air carrier?