In a typical product mix model, a company must decide how much of each product to produce to maximise profit, while fulfilling a set of customer constraints.

a. Assuming your company produces two types of vaccines, one requires an ultra-cold chain storage facility while another is not, please elaborate how you would apply lower-bound constraints and upper-bound constraints in this context.

b. Please list a set of constraints that you would consider in managing the distribution of the vaccine to the whole entire world. Below is a good starting reference point: https://nymag.com/intelligencer/2020/12/what-we-know-about-u-s-covid-19- vaccine-distribution-plan.html Your explanation should include a list of constraints that you would consider in building the optimization model. This is not an exercise on mathematical correctness but rather to be able to rationalise how constraints affect your objective function.