Answer the following questions for MULTIPLE.

a. Consider four departments (labeled A through D) with the following area requirements:

A 7 grids, B 3 grids, C 4 grids, and D 2 grids. Using the spacefilling curve shown below, show the layout that would be obtained from the sequence A-B-C-D.

b. Using the data given for part a and the spacefilling curve shown above, show the layout that would be obtained by exchanging departments B and D.

c. Discuss the advantages and limitations of using spacefilling curves in the manner they have been used in MULTIPLE. Your discussion should include the treatment of fixed departments, dummy departments, unusable floor space (i.e., obstacles), and extra (i.e., empty) floor space.

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