Because of restrictions placed on individuals leaving their homes, many families are pre-ordering their meals for an entire month (30 days) from innovative providers and having them delivered at various intervals during the month (e.g., every 4 days). This one provider only provides dinners (which require some preparations by the family) and also requires families to select and prepay for the 30 meals per order. It offers seven different meals per month. The following table lists these seven meals along with a very brief description of each and its costs (per family member). Each meal is given a symbol which also serves as the symbol for its decision variable (e.g. C1: chicken with salad) representing how many meals of that type to order when formulating your model) Meal Description cost/family member C1 Chicken with salad $10 C2 Chicken with hot vegetables $11 R1 Red meat (beef or pork) with salad $12 R2 Red meat (beef or pork) with hot vegetables $13 F1 Fish/seafood with salad $15 F2 Fish/seafood with hot vegetables $16 V Vegetarian with pasta $8 Assuming meals are being ordered for a 1-person family, and, without using any ‘…’s in any of your equations, formulate the following expressions for: the objective function for minimizing total cost at least 6 fish/seafood meals must be ordered the amount spent on this order must be no more than $400 at least 10 meals with hot vegetables must be ordered the number of chicken meals ordered must be at least twice as many as the number of red meat meals ordered the amount spent on fish/seafood meals must be no more than 25% of the total amount spent on all the meals with salad

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Uploaded: 2024-03-20T07:07:26.000Z
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Description: Because of restrictions placed on individuals leaving their homes, many families are pre-ordering their meals for an entire month (30 days) from innovative providers and having them delivered at various intervals during the month (e.g., every 4 days)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Because of restrictions placed on individuals leaving their homes, many families are pre-ordering their meals for an entire month (30 days) from innovative providers and having them delivered at various intervals during the month (e.g., every 4 days). This one provider only provides dinners (which require some preparations by the family) and also requires families to select and prepay for the 30 meals per order. It offers seven different meals per month. The following table lists these seven meals along with a very brief description of each and its costs (per family member). Each meal is given a symbol which also serves as the symbol for its decision variable (e.g. C1: chicken with salad) representing how many meals of that type to order when formulating your model)

Meal Description cost/family member

C1 Chicken with salad $10

C2 Chicken with hot vegetables $11

R1 Red meat (beef or pork) with salad $12

R2 Red meat (beef or pork) with hot vegetables $13

F1 Fish/seafood with salad $15

F2 Fish/seafood with hot vegetables $16

V Vegetarian with pasta $8

Assuming meals are being ordered for a 1-person family, and, without using any ‘…’s in any of your equations, formulate the following expressions for:

the objective function for minimizing total cost

at least 6 fish/seafood meals must be ordered

the amount spent on this order must be no more than $400

at least 10 meals with hot vegetables must be ordered

the number of chicken meals ordered must be at least twice as many as the number of red meat meals ordered

the amount spent on fish/seafood meals must be no more than 25% of the total amount spent on all the meals with salad

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