Question

A lawn and garden store creates three different potting mixes sold in 20-pound bags. Mix A contains 12 pounds of peat, 5 pounds of perlite, 3 pounds of organic material, and earns a profit of $22 per bag. Mix B contains 10 pounds of peat, 6 pounds of perlite, 4 pounds of organic material, and earns a profit of $5 per bag. Mix C contains 8 pounds of peat, 8 pounds of perlite, 4 pounds of organic material, and earns a profit of $6 per bag. There are 1,200 pounds of peat, 800 pounds of perlite, and 600 pounds of organic material available every week to make these potting mixes. For what values of h will a sensitivity analysis on the effect of a change of h pounds of peat be valid?

Solution form(_<=h=<_) fill in the blank

Answer 1

Solurtion Given hat A laun ard garden stoe creates ttvee different potting mizes old in 20- Found bags let x be the number of bags of mixA, y be the rumber of bogs of maj. 2 be the rumber of bags of mixec The data from the linear programmig problen Maximize 35y+6z 가e Cordaints are 2x +10%82 21200 20 ,320, 270 Corresponding system of liear euation Noriables S 2x 5x + 64 +82 +V 80o the Solution -or艹e 、ystem x20-320, 220,U20,V20, wzo and M is as large as passibe

The initial Simplex table is u2 o 0 0 01200 0 V68 0 0 0 600 MI-3-5-6000110 TO delermine the Piot element compute the as Ratios too 600 50 3 56 o The Smalles+ ratio s 150, pot about The rew table iS Ratios 00 50 2 8 2 2. PtVot is

The table Shown beloo 6 5 a) 5 0 650 Tree ae ro reote entres in the left of the last row廾e Solution o y loo, 225 and M- 60 Therefove LOO oo baas of mx8 an 25 bags of mix c to the movamie wee poff