Exercise $1$: Construct a mathematical model of an integer programming pro$-$

blem and use Solver to nd the optimal solution $($don$\text{'}$t forget to add integer

constraints in the Constraints$)$:

b$)$ Cutting Plan Problem

A company producing metal components purchases pipes of length $65cm$ in any

quantity. To produce components, it needs at least $1200$ pieces of pipes with a

length of $20cm$ and at least $900$ pieces of pipes with a length of $15cm.$ How

should the company cut the purchased pipes to minimize the consumption of

purchased material?