Problem $5$: Please use the format provided

Fairfax Furnaces, Inc. operate a power plant that includes a coal fired boiler to produce steam to

drive a generator. They are aware that they need to replace the old boiler due to emission issues.

The company can purchase four different types of coal from West Virginia and blend them to meet

the requirements for burning in the boiler. The following table shows the characteristics of the

different types of coal:

The required BTU$/$pound must be at least $11,900.$ In addition, the ash content can be at most

$12\mathrm{.}2\%$ and the moisture content can be at most $9\mathrm{.}4\%.$ Devel op an optimization model to minimize

cost which will be in cost per pound. Please do not change the percentage values in the matrix to

decimals. The total percentage of the mix, must equal $1.$ This is a hard problem, please take your

time!