Chapter 3.12, Problem 3P

Explanation of Solution

Rental plan that meet the requirement:

• Assume the following,
  • Let “${\text{CR}}_{\text{mn}}$” be the number of computers, which are rented for “n” months at the beginning of month “m”.
  • Let “${\text{C}}_{\text{m}}$” be the number of computers available to achieve month “m” demand.
• The rental plan that meets the requirements of “12” months at minimum cost is as follows,

  $\begin{array}{l}\begin{array}{l}{\text{Min 100CR}}_{\text{11}}{\text{+ 180CR}}_{\text{12}}{\text{+250CR}}_{\text{13}}{\text{+100CR}}_{21}{\text{+180CR}}_{22}{\text{+250CR}}_{23}\\ +100{\text{CR}}_{31}+180{\text{CR}}_{32}+250{\text{CR}}_{33}+100{\text{CR}}_{41}+180{\text{CR}}_{42}+250{\text{CR}}_{43}+100{\text{CR}}_{51}\\ +180{\text{CR}}_{52}+250{\text{CR}}_{53}+100{\text{CR}}_{61}+180{\text{CR}}_{62}+250{\text{CR}}_{63}+100{\text{CR}}_{71}+180{\text{CR}}_{72}\\ +250{\text{CR}}_{73}+100{\text{CR}}_{81}+180{\text{CR}}_{82}+250{\text{CR}}_{83}+100{\text{CR}}_{91}+180{\text{CR}}_{92}+250{\text{CR}}_{93}\\ +100{\text{CR}}_{101}+180{\text{CR}}_{102}+250{\text{CR}}_{103}+100{\text{CR}}_{111}+180{\text{CR}}_{112}+250{\text{CR}}_{113}\\ +100{\text{CR}}_{121}+180{\text{CR}}_{122}+250{\text{CR}}_{123}\end{array}\hfill \\ \hfill \end{array}$