Show how he can make pieces of copper wire whose lenghts in feet are one of each of the whole numbers from 1 to 20 inclusive, while minimising the amount of wastage.

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?