Solve the following Linear Programming problems using The Simplex Method. Show all work.

Write a sentence answer$\mathrm{.}2.)$ A Freight company handles shipments by two corporations, A and B$,$ which are located in

the same city. Corporation A ships boxes that weigh $3$ lbs each and have a volume of $2$ cu

ft$.$ Corporation B ships $1$ cu ft$.$ boxes that weigh $5$ lbs each. Both A and B ship to the same

destination. The transportation cost to the customer $($price$)$ for each box from A is $$0\mathrm{.}75,$

and from B is $$0\mathrm{.}50.$ The freight company has a truck with $2400$ cu ft$.$ of cargo space and a

maximum capacity of $9200$ lbs$.$ In one haul, how many boxes from each corporation

should be transported by this truck so that the freight company receives maximum

revenue? What is the maximum revenue?