Linear Programing Question:

I'm creating a linear programing question by implementing the real situation in my company. We have a media production team receives numbers of projects every month from mother company. Each project takes different amount of time from planning to finish. The mother company thinks we're not contributing the maximum due to major delays. I want to see if I can find the maximum projects they could take per month, and also what would be the optimized way to do projects.

Project type and ETA time to finish:

A: 30 days

B: 20 days

C: 15 days

D: 10 days

We have 3 groups in the media team. Each group could take 2 or more projects simultaneously. However, work time for each day is 8 hours from Monday to Friday.

Would you help me find the objects nd constraints? I believe there are multiple objects as result (total of projects, optimized projects or any other data can help on the situation.)