Formulate but do not solve the following exercise as a linear programming problem. TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5100 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2600 and 4200 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. From TMA Location I Location II Minimize TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), to a minimum. Location I production Location II production Location II to City A shipping To Pulsar Factories City A $6 City B $8 Location II to City B shipping Location I to City A shipping Location I to City B shipping C= $5 $8 x+y≤6000 x+y≥5100 x x<2600 y≤ 4200 x20 y 20 ✓ subject to the constraints
Formulate but do not solve the following exercise as a linear programming problem. TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5100 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 2600 and 4200 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two Pulsar factories are as follows. From TMA Location I Location II Minimize TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in dollars), to a minimum. Location I production Location II production Location II to City A shipping To Pulsar Factories City A $6 City B $8 Location II to City B shipping Location I to City A shipping Location I to City B shipping C= $5 $8 x+y≤6000 x+y≥5100 x x<2600 y≤ 4200 x20 y 20 ✓ subject to the constraints
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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Transcribed Image Text:Formulate but do not solve the following exercise as a linear programming problem.
TMA manufactures 37-in. high-definition LCD televisions in two separate locations: Location I and Location II. The output at Location I is at most 6000 televisions/month, whereas the output at Location
II is at most 5100 televisions/month. TMA is the main supplier of televisions to Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar
placed orders for 2600 and 4200 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the two TMA plants to the two
Pulsar factories are as follows.
From TMA
Location I
Location II
Minimize
TMA will ship x televisions from Location I to City A and y televisions from Location I to City B. Find a shipping schedule that meets the requirements of both companies while keeping costs, C (in
dollars), to a minimum.
Location I production
Location II production
Location II to City A shipping
Location II to City B shipping
Location I to City A shipping
Location I to City B shipping
Need Help?
To Pulsar Factories
City A
$6
City B
$8
Read It
C =
$5
$8
x+y≤6000 ✓
x+y≥5100 x
*< 2600
y≤ 4200
x ≥ 0
y ≥ 0
Watch It
J
subject to the constraints
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