# Linear Programming

#### maria69

For the first part (i) i found the optimal solution when x1=180,x2=40 and the optimal is 258.
in (II) for the protein we have these 2 functions :PAx1+1.10x2 and 4x1+2x2=700
i found 2.2 and for cyrbohydrate with the functions :PAx1+1.10x2 and 3x1+x2=300
i found 3.3 so the first is 2.2<=PA<=3.3
For PB for the protein we have these 2 functions :1.50x1+PBx2 and 4x1+2x2=700
i found 0.75 and for cyrbohydrate with the functions: 1.50x1+PBx2 and 3x1+x2=300
i found 50. so the second is: 0.75<=PB<=50. AM I right?

For the (III) part for protein i have:4x1+2x2=701 and 3x1+x2=300
and i found that the shadow price is: £162.9
For the cyrbohydrate i have:4x1+2x2=700 and 3x1+x2=301 and i found
that the shadow price is:£161.3

Can someone please check my answers and help me for the last part please??????? I don't know how to write a memo. If someone please can do the first steps????
Thank you very much MARIA.

http://img19.imageshack.us/img19/894/oper3bv3.jpg [Broken]
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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