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example 2

example 2. Cost Minimization. Chapter 8.2.

uriel-hunter
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example 2

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  1. example 2 Cost Minimization Chapter 8.2 Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star model and 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? 2009 PBLPathways

  2. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star model and 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order?

  3. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star model and 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize total Star model units total Prostar model units

  4. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star model and 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize total Star model units total Prostar model units

  5. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star model and 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize total Star model units total Prostar model units

  6. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star model and 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize total Star model units total Prostar model units

  7. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star model and 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize total Star model units total Prostar model units

  8. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star model and 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize total Star model units total Prostar model units

  9. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star modeland 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize total Star model units total Prostar model units

  10. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star modeland 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize total Prostar model units

  11. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star modeland 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize

  12. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star modeland 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize

  13. Star Manufacturing Company produces two types of DVD players, which are assembled at two different locations. Plant 1 can assemble 60 units of the Star model and 80 units of the Prostar model per hour, and plant 2 can assemble 300 units of the Star model and 80 units of the Prostar model per hour. The company needs to produce at least 5400 units of the Star model and 4000 units of the Prostar model to fill an order. If it costs $2000 per hour to run plant 1 and $3000 per hour to run plant 2, how many hours should each plant spend on manufacturing DVD players to minimize its cost for this order? What is the minimum cost for this order? x: number of hours of assembly time at plant 1 y: number of hours of assembly time at plant 2 Minimize Minimize

  14. Minimize Minimize

  15. Minimize Minimize

  16. Minimize Minimize

  17. (0, 50) Minimize Minimize (40, 10) (90, 0)

  18. (0, 50) Minimize Minimize (40, 10) (90, 0)

  19. (0, 50) Minimize Minimize (40, 10) (90, 0)

  20. (0, 50) Minimize Minimize (40, 10) (90, 0)

  21. (0, 50) Minimize Minimize (40, 10) (90, 0)

  22. (0, 50) Minimize Minimize (40, 10) (90, 0)

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