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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
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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DATA MODEL CONSTRAINTS LS DECISION VARIABLES OBJECTIVE FUNCTION RELATION RS [Name]
Transcribed Image Text:DATA MODEL CONSTRAINTS LS DECISION VARIABLES OBJECTIVE FUNCTION RELATION RS [Name]
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.
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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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?
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?
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