# Thread: solving this problem in linear programming

1. ## solving this problem in linear programming

Hi,
I am lola,I am an agricultur engineering and I am doing my thesis , so please I need some help to resolve this folowing problem for my thesis,

an agricultur desire to plant his land bananas,he has 2 choices of banana A or B. he nneds to know wich plant (A or B) can he plant to have a maximum profit with a minimum expense.
the density and rentability and the fertilisers needed ,for A and B, are in the folowing table:

Cultivars A B

Density/ha 1600-2500(plants) 1680-1785(plants)

rentability
t/ha 40-50 69-75

fertilisers
needed/10 000 m2:
N 250 295
P 25 35
K 800 1200
Ca 150 175
Mg 60 70
S 14 32.5

N cost : 27$/50Kg P cost : 24$ /50Kg
K cost : 40$/50Kg Ca cos t: 30$ /50Kg
Mg cost : 30$/50Kg S cost : 70$ /50Kg

thanks ..............

2. ## Linear Programming

Hi Lola,

Question.... explain the rentability #'s....and I assume the other restraint values are "A" "B"? (where is the profit?)

Objective Function: Max Profit
such that.....

The info you gave is not clear to me to properly set up the optimization problem (with needed units left out)