Product Mix Problem $-$ Shoestore

Problem Description

What we have

We have four products:

Flats $($ $$20$ profit$)$

Heels profit

Wedges profit$)$

Sandals $($$$5$ profit$)$

We have $1500$ square feet of leather

We have $500lbs.$ of rubber

We have $200lbs.$ of cork

What we know

Flats require

$2$ square feet of leather

Heels require

$2\mathrm{.}8$ square feet of leather

$1\mathrm{.}2$ lbs$.$ of sork

Wedges require

$1\mathrm{.}2$ square feet of leather

$2lbs.$ of cork

Sandals Require

$0\mathrm{.}8$ square feet of Leather

$1\mathrm{.}5lbs$ of rubber

You must make at least $10$ of each.

You must make $2$ flats for each set of heels.

Find out

How many each type of shoes do we make?

What happens when our constraints change?

What happens if the objective function coefficient changes?