For my combinatorics class, any help is appreciated! I will upvote

2 Cargo plane loading (17 points) You own a logistic company and you have a cargo plane with 1000 Cargo type Volume Prot meter3 of space available. Five suppliers approach you and want you to 1 410 200 deliver their cargo to their desired destination. After negotiating with 2 600 60 these suppliers, you can choose from a set of 5 cargo to load the plane. 3 220 20 The table on the right lists the volume and prot from shipping each 4 450 40 of the cargo. 5 330 30 Now, suppose there are at most 1 cargo available from each supplier, and: 2.1 we are allowed to take any portion of each cargo up to the total volume, with the prot adjusted accordingly (that is, if you take half of the cargo, it yields half the prot). Formulate this problem as as a linear program. State clearly your decision variable(s), objective function and constraint(s). >\"You do not need to solve the program. 2.2 we must take all of the cargo or none of it. Model such cargo plane loading problem as an linear integer program. Solve this problem by brute force: enumerating all the possible solutions and nd the best one. END of assignment 2