A dietician has to develop a special diet using two foods 
and 
. Each packet (containing 
) of food. 
contains 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the same quantity of food 
contains 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin 
. The diet requires atleast 240 units of calcium, atleast 460 units of iron and atmost 300 units of cholesterol. The corner points of the feasible region are
Text Solution
Verified by ExpertsA
: Let the dietician uses 
packets of food 
and 
packets of food 
.
So, the mathematical formulation of the given problems is,
(i)
(ii)
(iii)
The graph of the above equation is as follows:
The shaded region is the feasible region.
So, the required corner points are 
, and 
.
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