f(n) = g(n) + h(n). Discuss which thing should be optimal, underestimated, overestimated, admissible or non-admissible. What will happen if you make it monotonic? Give the example case to preserve its admissibility?

K = 0, L = 18 Write and solve the following linear program using lingo, take screen shots of your model as well as the reports and the optimal solution. Clearly show the optimal solution.NB:K=the second digit of your student number;L=sum of the digits of your student number, For example if your student number is 17400159 thenK=7andL=1+7+4+0+0+1+5+9=27!!!! SAVE YOUR FILE BY YOUR STUDENT NUMBER!!!!minz=t∈T∑​(At​Yt​+Pt​Xt​)+k∈K∑​(Hk​Uk​+Bk​Vk​)s.t.Uk​+Vk​=50∀k∈KXt​−Ct​Yt​<=0∀t∈Tk∈K∑​Vk​≥80t∈T∑​Xt​≥t∈T∑​Dt​Xt​>=0∀t∈TYt​∈{0,1}∀t∈TUk​>=0∀k∈KVk​>=0∀k∈KThe sets parameters and data are as follows: \[ \begin{array}{l} \mathrm{T}=\{1,2,3,4\} \\ \mathrm{K}=\{0,1,2,3,4\} \\ \mathrm{A}=\{5000,7000,8000,4000\} \\ \mathrm{D}=\{250,65,500,400\} \\ \mathrm{C}=\{500,900,700,800\} \\ \mathrm{P}=\{20, \mathrm{~L}, 25,20\} \\ \mathrm{H}=\{5,3,2, \mathrm{~K}, 9\} \\ \mathrm{B}=\{8,5,4,7,6\} \end{array} \]