Decision variables let x pq space leased out by web

  • No School
  • AA 1
  • 4

This preview shows page 1 - 3 out of 4 pages.

DECISION VARIABLES: Let, X pq = Space leased out by Web Mercantile in a particular month "p" for a lease period "q" Where, p = 1 , 2, 3, 4, 5 q = 1, …… (6 - p)
Image of page 1

Subscribe to view the full document.

Therefore, the decision variables can be tabulated as Options to Lease Out the Space(s) Lease Period 1 Month Lease Period 2 Months Lease Period 3 Months Lease Period 4 Months Lease Period 5 Months Month 1 X 11 X 12 X 13 X 14 X 15 Month 2 X 21 X 22 X 23 X 24 - Month 3 X 31 X 32 X 33 - - Month 4 X 41 X 42 - - - Month 5 X 51 - - - - OBJECTIVE FUNCTION : MINIMIZE TOTAL COST OF LEASING SPACE MINIMIZE Z: 65 x (X 11 + X 21 + X 31 + X 41 + X 51 ) + [Cost of all spaces leased for 1 month lease period] 100 x (X 12 + X 22 + X 32 + X 42 ) + [Cost of all spaces leased for 2 months lease period] 135 x (X 13 +X 23 + X 33 ) + [Cost of all spaces leased for 3 months lease period] 160 x (X 14 + X 24 ) + [Cost of all spaces leased for 4 months lease period] 190 x (X 15 ) [Cost of space leased for 5 months lease period] CONSTRAINTS: Min Space required in 1 st Month X 11 + X 12 + X 13 + X 14 + X 15 ≥ 30000 Min Space required in 2 nd Month X 12 + X 13 + X 14 + X 15 + X 21 + X 22 + X 23 + X 24 ≥ 20000 Min Space required in 3 rd Month X 13 + X 14 + X 15 + X 22 + X 23 + X 24 + X 31 + X 32 + X 33 ≥ 40000 Min Space required in 4 th Month X 14 + X 15 + X 23 + X 24 + X 32 + X 33 + X 41 + X 42 ≥ 10000 Min Space required in 5 th Month X 15 + X 24 + X 33 + X 42 + X 51 ≥ 50000 All spaces (if leased) will be positive X 11 ≥ 0, X 12 ≥ 0, X 13 ≥ 0, X 14 ≥ 0, X 15 ≥ 0, X 21 ≥ 0, X 22 ≥ 0, X 23 ≥ 0, X 24 ≥ 0, X 31 ≥ 0, X 32 ≥ 0, X 33 ≥ 0, X 41 ≥ 0, X 42 ≥ 0, X 51 ≥ 0 (i.e X pq ≥ 0 for p = 1,2,3,4,5 and q= 1,…..,(6-p))
Image of page 2
Image of page 3
  • Fall '19

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern

Ask Expert Tutors You can ask 0 bonus questions You can ask 0 questions (0 expire soon) You can ask 0 questions (will expire )
Answers in as fast as 15 minutes