Use Simplex method and solve the following problem: Maximize p = x+y subject to x+y <= 2, 3x+y >= 4 Which of teh following is the last matrix table? A. x y s1 s2 | b 0 1 3/2 1/2 1 1 0 1/2 -1/2 1 0 0 1 0 2 B. x y s1 s2 | b 0 1 3/2 1/2 1 1 0 -1/2 1/2 1 0 0 1 0 2 C. x y s1 s2 | b 0 1 3/2 1/2 1 1 0 -1/2 -1/2 1 0 0 1 0 2 D. x y s1 s2 | b 0 1 3/2 -1/2 1 1 0 -1/2 -1/2 1 0 0 1 0 2 x y s1 s2 | b 0 1 3/2 1/2 1 1 0 1/2 -1/2 1 0 0 1 0 2 B. x y s1 s2 | b 0 1 3/2 1/2 1 1 0 -1/2 1/2 1 0 0 1 0 2 C. x y s1 s2 | b 0 1 3/2 1/2 1 1 0 -1/2 -1/2 1 0 0 1 0 2 D. x y s1 s2 | b 0 1 3/2 -1/2 1 1 0 -1/2 -1/2 1 0 0 1 0 2 Solution The step by step solution of the problem is given below - Tableau #1 x y s1 s2 p 1 1 1 0 0 2 3 1 0 -1 0 4 -1 -1 0 0 1 0 Tableau #2 x y s1 s2 p 0 2/3 1 1/3 0 2/3 1 1/3 0 -1/3 0 4/3 0 -2/3 0 -1/3 1 4/3 Tableau #3 x y s1 s2 p 0 1 3/2 1/2 0 1 1 0 -1/2 -1/2 0 1 0 0 1 0 1 2 So, the correct answer is option (c)..

1. What are some differences between the xylem and the phloem?
Solution
Xylem is a complex tissue that conducts water and minerals from roots to all plant parts. The
xylem contains cells like vessels, tracheids, fibers and parenchyma. Vessels are the long tubes
made up of small vessel members that are joined end to end at the walls. The tracheids are long
and dead cells with tapered ends and conduct the water through pits. Tracheids are chief cells
providing strength and support in the stems of gymnosperms. The fibers are thick walled cells
made up of sclenrenchyma and provide the support. The parenchyma cells in the xylem useful
for the storage. The movement of water and minerals through the xylem is a physiological
process.
The thickness of xylem is greater than phloem. xylem is located at the center of vascular bundles
and phloem is at outer side. The xylem expands in thickness as the plants grow. The cellwalls of
xylem cells are thicker than phloem cells. The size of cells vary in xylem and phloem depending
on the type of plant.
Phloem is a complex tissue that conducts food and metabolites from leaves to stem, flowers,
roots and the storage organs. It comprises of sieve tubes, sieve tube members, companion cells,
fibers and the parenchyma. The sieve tube members are long and slender cells with porous ends
known as sieve plates. The sieve tube members occur only in angiosperms and sieve cells are the
equivalent cells occurring in the gymnosperms. The sieve tube elements in gymnosperms are
similar to angiosperms except lacking the sieve plate.
The companion cells are useful for conduction of metabolites under closely associated with sieve
tube members. The phloem fibers have thick walled cells and provide support to the stems. The
parenchyma cells act as storage sites and are made up of hollow tubes produced from dead cells.
The phloem contains living cells and conduction of food and metabolites is a biological activity.