3. Cookie Monster loves cookies, but cookies are only a sometimes food and so he

Question

3. Cookie Monster loves cookies, but cookies are only a sometimes food and so he has to fruit. He approaches Batman and Robin to make ice cream flavours that are cookie dough and mixed berry. Now, Cookie Monster is smart and knows that he needs to get as much calcium and Vitamin A that he can get so that he can grow up to be a big Monster. He asks Batman and Robin to make sure that the cookie dough ice cream has exactly 5% of his daily intake of calcium and 6% of his daily intake of Vitamin A, and that the mixed berry ice cream has exactly 5% of his daily intake of calcium and 8% of his daily intake of Vitamin A. Batman and bin comply, but because of these demands they decide to sell the cookie dough ice cream r $8 and sell the mixed fruit ice cream for $9. Since cookies are only a sometimes food, he has to eat at least three times as much mixed fruit ice cream as cookie dough ice cream.

Explanation / Answer

Variable

Let Cookie Dough be taken c units and mixed berry be taken b units

so his daily intake = b+c

Constraint

calcium required in it = (b+c) x 5% = (0.05b+0.05c)

Vitamin A required in it = (b+c) x 6% = (0.06b+0.06c)

Calcium content = 0.05c + 0.05b = (0.05b+0.05c) >= (0.05b+0.05c) [always satisfied]

Vitamin A content = 0.06c + 0.08b  >= (0.06b+0.06c) [always satisfied]

Objective

cost = 8c+9b

Solution

Unless there is absolute requirement of intake is mentioned, this problem can not be solved.

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