$\{\begin{array}{c}\text{:}{?}_{U,H}01\\ 000& U.S.\text{O}\text{l}\text{l}\text{m}\text{a}\text{x}\text{i}\text{m}\text{u}\text{m}& \end{array}$

The computer output is shown below.

$\backslash$table$[[$Variable$,$value,Reduced cost$],[$H$,\backslash$table$[[800\mathrm{.}00000],[1200\mathrm{.}00000]],]]$

$\backslash$table$[[$Constraint$,$Slack$/$Surplus$,$Dual Value$],[1,0\mathrm{.}00000,0\mathrm{.}09333],[2,0\mathrm{.}00000,1\mathrm{.}33333],[3,200\mathrm{.}00000,0\mathrm{.}00000]]$

$\backslash$table$[[$Variable Cobjective Allowable Allowable,,,$],[$O Coefflclent,Increase,Decrease,$],[$it$,3\mathrm{.}00000,7\mathrm{.}00000,0\mathrm{.}50000],[,5\mathrm{.}00000,1\mathrm{.}00000,3\mathrm{.}50000]]$

$\backslash$table$[[$Constraint$,\backslash$table$[[$RHS$],[$Value$]],\backslash$table$[[$Allovable$],[$Increase$]],\backslash$table$[[$Allowable$],[$Decrease$]]],[2,80000\mathrm{.}00000,60000\mathrm{.}00000,15000\mathrm{.}00000],[2,700\mathrm{.}00000,75\mathrm{.}00000,300\mathrm{.}00000],[3,1000\mathrm{.}00000,$Infinite,$200\mathrm{.}00000]]$

$($a$)$ What is the optimal solution, and what is the value of the total annual return $($In $$)?$

u

H

estimated annual return $

$($b$)$ Which constraints are binding? What is your interpretation of these constraints in terms of the problem? $($Select all that apply.$)$

Constraint $1.$ All funds available are being utilized.

Constraint $2.$ The maximum permissible risk is being incurred.

Constraint $3.$ All available shares of U$.$S$.$ Oll are being purchased.

None of the constraints are binding.