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per of hours required for ea achine Time | Craftsman T 15 20

per of hours required for ea achine Time | Craftsman T 15 20

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Pls answer the problem with solutions.thank you
Problems: 1. A BSA Corporation produces two items (Alpha and Beta). The resources need to produce Alpha and Beta are twofold, namely machine time for automatic processing and craftsman time for hand finishing. The table below gives the number of hours required for each item: Item Alpha Item Beta Machine Time | Craftsman Time 15 20 22 30 The company has 2,000 hours of machine time available in the next working week but only 1,750 hours of craftsman time. Machine time is costed at P100 per hour worked and craftsman time is costed at P20 per hour worked. Both machine and craftsman idle times incur no costs. The revenue received for each item produced (all production is sold) is P4,000 for Alpha and P6,000 for Beta. The company has a specific contract to produce 10 items of Alpha per week for a particular customer. Formulate the problem of deciding how much to produce per week as a linear program. Formulation: 1. Decision Variables: a. b. 2. Objective Function: a. Total Revenue b. Machine Cost c. Craftsmen Cost d. Total Cost e. Total Profit 3. Constraints: a. b. с. 4. Nonnegativity Constraints: a.
Transcribed Image Text:Problems: 1. A BSA Corporation produces two items (Alpha and Beta). The resources need to produce Alpha and Beta are twofold, namely machine time for automatic processing and craftsman time for hand finishing. The table below gives the number of hours required for each item: Item Alpha Item Beta Machine Time | Craftsman Time 15 20 22 30 The company has 2,000 hours of machine time available in the next working week but only 1,750 hours of craftsman time. Machine time is costed at P100 per hour worked and craftsman time is costed at P20 per hour worked. Both machine and craftsman idle times incur no costs. The revenue received for each item produced (all production is sold) is P4,000 for Alpha and P6,000 for Beta. The company has a specific contract to produce 10 items of Alpha per week for a particular customer. Formulate the problem of deciding how much to produce per week as a linear program. Formulation: 1. Decision Variables: a. b. 2. Objective Function: a. Total Revenue b. Machine Cost c. Craftsmen Cost d. Total Cost e. Total Profit 3. Constraints: a. b. с. 4. Nonnegativity Constraints: a.
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