Section B $-$ Calculation Problems $(55$ marks$)$

A meat$-$processing company has two packaging plants. The meat is distributed from the two plants to three local

retailers. The for at the retailers. amount of meat at distribution costs in dollars per pound as well as the actual yields of the

For instance, due to spoilage, retailer A would accept only $0\mathrm{.}99$ pound of meat for every pound sent out from packaging

plant $1.$ The weekly capacities for plant $1$ and plant $2$ are $350$ pounds and $450$ pounds respectively. The weekly

requirements are $300$ pounds at retailer $A,200$ pounds at retailer $B,$ and $350$ at retailer $C.$ The pro