Consider a layout problem that has 8 departments with area requirements given in ft2 in the table below. The building is 200 feet in the x-direction and 550 feet in the y-direction. Dept 1 2 3 4 5 6 7 8 Address A-R D-R I-R F-R B-L E-L G-L E-R Area (ft) 15,000 8,000 10,000 21,000 12,000 25,000 10,000 9,000 a. Using the addresses and area requirements of the 8 departments given above, use BLOCPLAN to draw the initial block layout, identifying the width and lengths of each department. b. Propose an improved layout by exchanging at least two departments.