Problema Solution
a dietitian must use three foods a,b and c in a diet. the diet must include twice as many grams of food a as food c and 5 grams of b. the three foods must total at most 24 grams. what is the largest amount of food c that the dietitian use.
Answer provided by our tutors
the diet must include twice as many grams of food a as food c and 5 grams of b
a = 2c
b = 5
the three foods must total at most 24 grams:
a + b + c <= 24
2c + 5 + c <= 24
by solving we find:
c <= 19/3
c <= 6 1/3 grams
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the largest amount of food c that the dietitian use is 6 1/3 grams or approximately 6.33.