What we have

$$ We have four products:

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

$$ Heels $($$$30$ profit

$$ Wedges $($$$25$ profit$)$

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

$$ We have $1500$ square feet of leather

$$ We have $500$ lbs$.$ of rubber

$$ We have $200$ lbs$.$ 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 cork

$$ Wedges require

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

$2$ lbs$.$ of cork

$$ Sandals Require

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

$1\mathrm{.}5$ lbs 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?