PLEASE HELP Home lvy Tech commu x X MyMathLab MATH135- x Take a Test Ray Kim x C

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Home lvy Tech commu x X MyMathLab MATH135- x Take a Test Ray Kim x C chegg study louided so x C 9H1 H https//www.math Sol In For Yoo ship Print Fvents Kelley ralend Fvent MATH135-84 Spring 2017 Ray Kim 5/1217 12:01 PM Quiz: MIDTERM QUIZ Submit Quiz This Question 1 pt 26 of 33 (1 complete This Quiz: 33 pts possible A farmer can huy two types of plant 1ood, mix A and mix B Fach cubic yard of mix A contains ?D pounds of phospho acid 3D pounds nt nitrogen, and 5 pounds of pota Fach cubic yard of mix H rnntains 100 pounds of phosphoric acid 30 pounds of nitrogen. sh and 10 pounds of potash. The minimum monthly requirements are 400 pounds of phospho acid, 930 pounds of nitrogen, and 220 pounds of potash. If mix A costs $25 pe cubic yard and mix B costs $30 per cubic yard, how many cubic yards of each mix should larnier blend to murn monthly requirements at a rn virnurn cost? Whal this cost? t mix A costs, S25 per cubic yard and mix B costs $30 per cubic yard, the farmer should blend yd of mix A and yds of mix B to meet the minimum monthly requirements at a minimum cost. The cost is Enter your answer in each of the ansver boxes. a Search Windows 2017-U5-12.

Explanation / Answer

26)

Let x cubic yard be the quantity of mixure A and y cubic yard be the quantity of mixture B

Minimize p = 25x + 30y
subject to,
20x + 10y >= 400
30x + 30y >= 930
5x + 10y >= 220

Solving above LPP problem gives below

Hence optimal solution is

Optimal Solution: p = 840; x = 18, y = 13

Mixture A = 18 cubic yard

Mixture B = 13 cubic yard

Minimum cost = $40

Tableau #1 x y s1 s2 s3 -p 20 10 -1 0 0 0 400 30 30 0 -1 0 0 930 5 10 0 0 -1 0 220 25 30 0 0 0 1 0 Tableau #2 x y s1 s2 s3 -p 1 0.5 -0.05 0 0 0 20 0 15 1.5 -1 0 0 330 0 7.5 0.25 0 -1 0 120 0 17.5 1.25 0 0 1 -500 Tableau #3 x y s1 s2 s3 -p 1 0 -0.06667 0 0.066667 0 12 0 0 1 -1 2 0 90 0 1 0.033333 0 -0.13333 0 16 0 0 0.666667 0 2.33333 1 -780 Tableau #4 x y s1 s2 s3 -p 1 0 -0.1 0.033333 0 0 9 0 0 0.5 -0.5 1 0 45 0 1 0.1 -0.06667 0 0 22 0 0 -0.5 1.16667 0 1 -885 Tableau #5 x y s1 s2 s3 -p 1 0 0 -0.06667 0.2 0 18 0 0 1 -1 2 0 90 0 1 0 0.033333 -0.2 0 13 0 0 0 0.666667 1 1 -840

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