Matlab

1. Linear Optimization A local charity group has a community outreach program that trains residents for two types of recycling and community cleanup activity and is planning a big recycling weekend effort to tidy up the city and generate funds to support further outreach. With limited volunteers, they need to determine how to best prioritize their recycling efforts. Recycling plastic bottles generates proceeds of $16 per bag and a volunteer can gather 5 bags per hour. Recycling aluminum cans generates proceeds of $28 per bag and a volunteer can gather 3 bags per hour. The charity expects to have 100 volunteers. Write a Matlab script that uses linprog to determine the number of volunteers to use collecting each type of recyclable. Have your script clearly say how many volunteers should be trained to collect each type of recycling. Have it print the hourly fundraising for the recycling effort when volunteers are organized the way you have determined. (Hint: This system is much simpler than the one given in the lecture notes. It is likely to give an all-or-nothing result. The result might flip if the proceeds for plastic were $17 per bag.) 1. Linear Optimization A local charity group has a community outreach program that trains residents for two types of recycling and community cleanup activity and is planning a big recycling weekend effort to tidy up the city and generate funds to support further outreach. With limited volunteers, they need to determine how to best prioritize their recycling efforts. Recycling plastic bottles generates proceeds of $16 per bag and a volunteer can gather 5 bags per hour. Recycling aluminum cans generates proceeds of $28 per bag and a volunteer can gather 3 bags per hour. The charity expects to have 100 volunteers. Write a Matlab script that uses linprog to determine the number of volunteers to use collecting each type of recyclable. Have your script clearly say how many volunteers should be trained to collect each type of recycling. Have it print the hourly fundraising for the recycling effort when volunteers are organized the way you have determined. (Hint: This system is much simpler than the one given in the lecture notes. It is likely to give an all-or-nothing result. The result might flip if the proceeds for plastic were $17 per bag.)