3) Paul has to buy two types of Yogurts- Brand A and Brand B for children. He knows the following regarding the Vitamins the yogurts have: Brand A Brand B Vitamin A 12 12 Vitamin B 6.5 5.5 Vitamin C 8.5 10 It is imperative that Paul ensures the children receive a minimum of 200 units of Vitamin A, 150 units of Vitamin B, and 150 units of Vitamin C. This requirement must be met even if it means purchasing more expensive Brand B yogurts, which cost $2.25 per unit compared to the $1.50 per unit of Brand A. Furthermore, there must be twice as many Brand B yogurts as Brand A yogurts, and currently, only 5 Brand A yogurts are available at the store. Using linear programming find the minimum cost of buying the yogurts to provide the required units of vitamins. How many of each type of yogurt Paul should buy to keep the cost at the minimum.
3) Paul has to buy two types of Yogurts- Brand A and Brand B for children. He knows the following regarding the Vitamins the yogurts have: Brand A Brand B Vitamin A 12 12 Vitamin B 6.5 5.5 Vitamin C 8.5 10 It is imperative that Paul ensures the children receive a minimum of 200 units of Vitamin A, 150 units of Vitamin B, and 150 units of Vitamin C. This requirement must be met even if it means purchasing more expensive Brand B yogurts, which cost $2.25 per unit compared to the $1.50 per unit of Brand A. Furthermore, there must be twice as many Brand B yogurts as Brand A yogurts, and currently, only 5 Brand A yogurts are available at the store. Using linear programming find the minimum cost of buying the yogurts to provide the required units of vitamins. How many of each type of yogurt Paul should buy to keep the cost at the minimum.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Please use attached Excel format to solve if possible, I appreciate you!
![DATA
MODEL
CONSTRAINTS
LS
DECISION VARIABLES
OBJECTIVE FUNCTION
RELATION
RS
[Name]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5d7c6df9-9072-40bc-ad85-7ace55fd8504%2F3a4fedbc-dac5-4272-a6be-b4ac87d702be%2Fa4b42x_processed.png&w=3840&q=75)
Transcribed Image Text:DATA
MODEL
CONSTRAINTS
LS
DECISION VARIABLES
OBJECTIVE FUNCTION
RELATION
RS
[Name]
Transcribed Image Text:3) Paul has to buy two types of Yogurts- Brand A and Brand B for children. He knows the following
regarding the Vitamins the yogurts have:
Brand A
Brand B
Vitamin A
12
12
Vitamin B
6.5
5.5
Vitamin C
8.5
10
It is imperative that Paul ensures the children receive a minimum of 200 units of Vitamin
A, 150 units of Vitamin B, and 150 units of Vitamin C. This requirement must be met
even if it means purchasing more expensive Brand B yogurts, which cost $2.25 per unit
compared to the $1.50 per unit of Brand A. Furthermore, there must be twice as many
Brand B yogurts as Brand A yogurts, and currently, only 5 Brand A yogurts are available
at the store.
Using linear programming find the minimum cost of buying the yogurts to provide the required units of
vitamins. How many of each type of yogurt Paul should buy to keep the cost at the minimum.
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Transcribed Image Text:2. Radiant requires cargo planes for the transportation of three distinct goods: A, B, and C. They have
contacted VIP Transportation Company to arrange the rental. It has been communicated to Radiant that
VIP has two types of cargo planes available, with 55 of each type. Furthermore, VIP has shared weight-
related information for the two types of planes, WT88 and BH54.
WT88 Can carry
BH54can carry
Goods A
18 tons
15 tons
Goods B
12 tons
20 tons
Goods C
20 tons
15 tons
To transport their cargo, Radiant needs to move 300 tons of Goods A, 300 tons of Goods B, and 350 tons
of Goods C. In order to do so, they will require at least two WT88 and two BH54 planes. The cost for
each WT88 plane with VIP is $1600 and each BH54 is $1250.
Under the above circumstances, find out the following using Linear Programming:
(a) What will be the minimum cost to transfer the required goods?
(b) How many of WT88 and BH54 Radiant should hire?
Solution
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