Linear Algebra w/ Objective Function & Constraints
Quality Security runs a state prison. Part of their contract requires them to provide each inmate with at least the minimum nutritional requirements. After the inmate’s daily meals, it has been determined that each inmate still needs 120 units of vitamin A, 50 units of B-complex, and 20 units of iron. There are four different supplements that they are considering.
Vitamin A B-Complex Iron Cost per ounce of supplement
Supplement I 20 6 0 .01
Supplement II 11 12 3 .02
Supplement III 0 22 6 .03
Supplement IV 28 0 10 .04
How much of each supplement should a prisoner be given so that the minimum requirements are met at the lowest cost?”
(a) Find the objective function
(b) Find the constraints.