Posted by Tracy on Saturday, February 26, 2011 at 10:43pm.
A diet management system produces two types of foods A and B. Food A contains (5,15,1,2) mg. per ounce of cholesterol, calcium, iron and vitamin C respectively and Food B contains (5,15,1,2) mg. per ounce of the same nutrients in order respectively
A nutritionist wishes to minimize the cholesterol content while satisfying the minimum daily requirements (300,13,40) for calcium, iron and vitamin C respectively.
Assume that the number of ounces of the foods used is given by x,y respectively and construct the following:
The function to be minimized is:?
The restriction imposed by vitamin C need is: ? >= ?.
The restriction imposed by calcium need is: ? >= ?.
The restriction imposed by iron need is: ? >= ?.

Math  MathMate, Saturday, February 26, 2011 at 10:59pm
Is there a typo, both foods have the same nutrition content, so there is no minimization to be done.
Ch(x,y)=5x+5y
C(x,y)=15x+15y≥300
Ca(x,y)=x+y≥13
Fe(x,y)=2x+2y≥40
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