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erma4kov [3.2K]
3 years ago
11

Peg and Al Fundy have a limited food budget, so Peg is trying to feed the family as cheaply as possible. However, she still want

s to make sure her family members meet their daily nutritional requirements. Peg can buy two foods. Food 1 sells for $7 per pound and, each pound contains 3 units of vitamin A and 1 units of vitamin C. Food 2 sells for $1 per pound, and each pound contains 1 unit of each vitamin. Each day, the family needs at least 12 units of vitamin A and 6units of vitamin C.
(a) Verify that Peg should purchase 12 units of food 2 each day and thus oversatisfy the vitamin C requirement by 6 units.


(b )Al has put his foot down and demanded that Peg 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 new problem will involve ingesting less vitamin C, but it will be more expensive. Why?
Business
1 answer:
Inga [223]3 years ago
4 0

Answer:

A) we requiere to fulfill the Vitamint contrains or surpass them A => 12 C=>6

B) we request that instead of fullfilling the vitaming requirement to be 12/6 or more

to be exactly for this amount.

Explanation:

We set up the situation in excel Solver with the following constraing:

     1        2      3      4

A    3 3 1 7

B    3 1 1 1

C        12 6 24

C2 = A1*A2 + B1*B2

C3 = A1*A3 + B1*B3

C4 = A1*A4 + B1*B4

common constraing:

C4 min

A1 = integer

B1 = integer

A) constraing

C2 => 12

C3 =>6

B) contraing to achieve the exact value for each vitamin:

C2 = 12

C3 =  6

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Answer:

See explanation Section

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