5. A drug company sells three different formulations of vitamin complex and mineral complex.

The first formulation consists entirely of vitamin complex and sells for $1 per unit. The

second formulation consists of 3/4 of a unit of vitamin complex and 1/4 of a unit of mineral

complex and sells for $2 per unit. The third formulation consists of 1/2 of a unit of each of

the complexes and sells for $3 per unit. If the company has 100 units of vitamin complex

and 75 units of mineral complex available, how many units of each formulation should the

company produce as to maximize profit? Write down the corresponding LP, and solve it by

using Theorem 22 and 23.