7. Hawaii Sugar Company produces brown sugar, processed (white)sugar, powdered sugar,
and molassesfrom sugar cane syrup.The company purchases 4000 tons ofsyrup weekly
and is contracted to deliver at least 25 tons weekly of each type ofsugar.The production
processstarts by manufacturing brown sugar and molasses from the syrup. A ton ofsyrup
produces .3 ton of brown sugar and .1 ton of molasses. White sugar is produced by processing brown sugar. It takes 1 ton of brown sugar to produce .8 ton of white sugar. Powdered sugar is produced from white sugar through a special grinding process that has a
95% conversion efficiency (1 ton of white sugar produces.95 ton of powdered sugar).
The profits per ton for brown sugar, white sugar, powdered sugar, and molasses are $150,
$200, $230, and $35, respectively. Formulate the problem as a linear program, and determine the weekly production schedule