(2 Problems) A firm offers two different prices on its products, depending upon the quantity purchased. Since available resources are limited, the firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $75 each for the first 25 units and $60 for each unit over 25. Product 2's profitability is $200 each for the first 50 units and $100 each for each unit over 50. The products each require two raw materials to produce (see table below for usages and available quantities). Raw Material A B Product 1 usage (gallons per unit) 10 5 Product 2 usage (gallons per unit) 20 7 Question 16 How many decision variables are needed in the formulation of this problem? [Excel Solver] Use separable programming to find the optimal production plan. 100 units Product 1, 50 units Product 2 25 units Product 1, 100 units Product 2 100 units Product 1, 100 units Product 2 50 units Product 1, 50 units Product 2 Available Quantity (gallons) 1,500 2,000 100 units Product 1, 25 units Product 2
(2 Problems) A firm offers two different prices on its products, depending upon the quantity purchased. Since available resources are limited, the firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $75 each for the first 25 units and $60 for each unit over 25. Product 2's profitability is $200 each for the first 50 units and $100 each for each unit over 50. The products each require two raw materials to produce (see table below for usages and available quantities). Raw Material A B Product 1 usage (gallons per unit) 10 5 Product 2 usage (gallons per unit) 20 7 Question 16 How many decision variables are needed in the formulation of this problem? [Excel Solver] Use separable programming to find the optimal production plan. 100 units Product 1, 50 units Product 2 25 units Product 1, 100 units Product 2 100 units Product 1, 100 units Product 2 50 units Product 1, 50 units Product 2 Available Quantity (gallons) 1,500 2,000 100 units Product 1, 25 units Product 2
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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Question
2
![(2 Problems) A firm offers two different prices on its products, depending upon the
quantity purchased. Since available resources are limited, the firm would like to
prepare an optimal production plan to maximize profits. Product 1 has the following
profitability: $75 each for the first 25 units and $60 for each unit over 25. Product
2's profitability is $200 each for the first 50 units and $100 each for each unit over
50. The products each require two raw materials to produce (see table below for
usages and available quantities).
Raw
Product 1 usage
Product 2 usage
Available Quantity
Material
(gallons per unit) (gallons per unit)
(gallons)
A
10
20
1,500
B
5
7
2,000
Question 16
How many decision variables are needed in the formulation of this problem?
[Excel Solver] Use separable programming to find the optimal production plan.
100 units Product 1, 50 units Product 2
25 units Product 1, 100 units Product 2
100 units Product 1, 100 units Product 2
50 units Product 1, 50 units Product 2
100 units Product 1, 25 units Product 2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe70bce34-8d8f-4417-9381-3c6041722ad9%2F0396c77f-8314-4f0f-b156-04449973359a%2Fjvz9wb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(2 Problems) A firm offers two different prices on its products, depending upon the
quantity purchased. Since available resources are limited, the firm would like to
prepare an optimal production plan to maximize profits. Product 1 has the following
profitability: $75 each for the first 25 units and $60 for each unit over 25. Product
2's profitability is $200 each for the first 50 units and $100 each for each unit over
50. The products each require two raw materials to produce (see table below for
usages and available quantities).
Raw
Product 1 usage
Product 2 usage
Available Quantity
Material
(gallons per unit) (gallons per unit)
(gallons)
A
10
20
1,500
B
5
7
2,000
Question 16
How many decision variables are needed in the formulation of this problem?
[Excel Solver] Use separable programming to find the optimal production plan.
100 units Product 1, 50 units Product 2
25 units Product 1, 100 units Product 2
100 units Product 1, 100 units Product 2
50 units Product 1, 50 units Product 2
100 units Product 1, 25 units Product 2
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