You're in a balloon that carries oranges that are squeezed into juice when it leaks. You have 10 minutes to 50 kilograms of cargo or the entire load of oranges will be ruined. Each orange weighs 250 grams and can be tossed from the side in 10 seconds. However, this also results in you losing the fruit to be juiced, which costs you money. Alternatively, you can peel the orange and toss the peel. The peel is only 25 grams in mass and takes 30 seconds to remove, but none of the juicy fruit is wasted in the process. You and 4 workers can peel or toss any number of oranges to get underweight in time. What combination of peeling and tossing wastes the least amount of juicy fruit?
apparently all people can peel or toss at the same rate. Do all the people have a choice of peeling or tossing? If so, then assume that each person has to get rid of 10kg.
If you toss x oranges, and peel y oranges, then
0.250x + 0.025y >= 10,000
10x + 30y <= 600
minimize p = x+y (assumes that peeled fruit are lost)