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A farmer can purchase 3 kinds of feed for his stock, with various percentages of each of 4 nutrients, called A, B, C, and D. A mixture of feeds gives proportional amounts of nutrients. The following table gives the minimum daily requirements (lb), cost (¢ / lb), and nutritional elements per pound of feed.

Table

Refer the constraint table now. I am confused as to how equation of nutrient A will be.

Will it be,

$$2x_1 + 3x_2 + 7x_3 \ge 750$$

or

$$\frac{2}{8.5}x_1 + \frac{3}{7.5}x_2 + \frac{7}{8}x_3 \ge 750$$

arrrrmm
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    Welcome to math SE. Have a look at mathjax for you mathematical expressions. – Alain Remillard Mar 06 '20 at 19:15
  • @AlainRemillard thanks for the suggestion. I have made necessary changes. I hope the question is clearer now. – arrrrmm Mar 06 '20 at 19:28
  • What is your work on the subject ? Met the farmer ? – Jean Marie Mar 06 '20 at 19:36
  • @JeanMarie I just came across this problem. I understand that this is not a platform to complete homework. And it is not my intention. I am just looking for some guidance here. – arrrrmm Mar 06 '20 at 19:42
  • @JeanMarie I am not looking for solution. Just stuck with LPP formulation. – arrrrmm Mar 06 '20 at 19:43
  • It is the first inequation (but why 750 ? It should be 950.). Explanation : $A$ "works for itself", it is not its concern if such and such feed contains few or many B,C,D Nutrients... – Jean Marie Mar 06 '20 at 21:01

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