Question
The Diet Problem 3.1.1 Eating for cheap on a very limited menu A sandwich shop has a menu consisting of four items Turkey breast on
The Diet Problem 3.1.1 Eating for cheap on a very limited menu
A sandwich shop has a menu consisting of four items Turkey breast on a bun a club sandwich a veggie sub a breakfast sandwich nutritional data for each is summarized on table 3.1
sandwich type
Turkey breast | club | veggie sub | breakfast sandwich | |
calories | 280 | 320 | 230 | 470 |
fat grams | 4.5 | 6 | 3 | 19 |
cholesterol | 20 | 35 | 0 | 200 |
carbohydrates | 46 | 47 | 44 | 53 |
fiber | 5 | 5 | 5 | 5 |
protein | 18 | 24 | 9 | 28 |
Vitamin A | 8 | 8 | 8 | 10 |
vitamin C | 35 | 35 | 35 | 15 |
calcium | 6 | 8 | 6 | 25 |
iron | 25 | 30 | 25 | 25 |
Daily nutritional guideline requirements for each category nutrition in table 3.1 are presented in table 3.2 table 3.2 daily nutritional guidelines
Daily minimum | Daily maximum | |
calories | 2000 | 300 |
fat grams | 0 | 65 |
cholesterol | 0 | 300 |
carbohydrates | 50 | 300 |
fiber | 25 | 50 |
protein | 50 | 200 |
Vitamin A | 40 | 200 |
vitamin C | 40 | 200 |
calcium | 40 | 200 |
iron | 40 | 200 |
Suppose that sandwiches cost $6 Turkey breast, $5 club sandwich $3.50 veggie sub, and $5 breakfast sandwich. We seek to minimize the total daily cost of maintaining a diet that has compromised solely of these 4 sandwiches and fulfills the previously stated nutritional guidelines we will permit partial consumption of any sandwich and assume that the purchase price of any sandwich is prorated based on the fraction consumed for example consumption of 1/2 a sandwich will contribute to only $2.50 total cost.
A. how much do we expect to spend daily on consuming a combination of the 4 sandwiches that is least expensive.
B. determine that combination of sandwiches to be consumed daily
C. what is the total amount of each nutrition consume daily from the combination of sandwiches
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