$3.$ This problem is essentially used for establishing a policy for production within a time period that satisfies certain demand requirements, respecting the manufacturing limits and at a minimal cost. These types of models can be extended to use with several products, however, for this example we will only consider one single product $---$ Road Race Bicycle: FOLLOW # $14$ from textbook

We define the following linear optimization model: $($Given: there is an initial inventory of $50$ units.

Company wants to minimize production and inventory cost.