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(A) Verify That Mary Should Purchase 12 Units of Food

question 97

Essay

(A) Verify that Mary should purchase 12 units of food 2 each day and thus oversatisfy the vitamin C requirement by 6 units.

(B) Mary's husband has put his foot down and demanded that Mary fulfill the family's daily nutritional requirement exactly by obtaining precisely 12 units of vitamin A and 6 units of vitamin C. The optimal solution to the new problem will involve ingesting less vitamin C, but it will be more expensive, why?

(C) Starting with the optimal solution to (B), use the SolverTable add-in to see what happens to the total cost when the vitamin A and vitamin C requirements both vary (independently) from 3 to 18 in 3-unit increments. That is, from a two-way table. Describe the behavior you observe. In particular, are the changes in total cost the same as you look across each row of the table? Are they the same as you look across each column of the table?


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