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 6500 televisions/month, whereas the output at Location II is at most 4900 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 3000 and 3800 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 Location I production Location II production To Pulsar Factories City A $7 City B 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. Minimize c=7x+4y+8(3000-x)+11 (3800-y) subject to the constraints Location II to City A shipping Location II to City 8 shipping Location I to City A shipping Location I to City 8 shipping $8 $4 $11 x≤6500 x 3000-x≤ 4900 3000-x>0 3800-20 y 20 x
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 6500 televisions/month, whereas the output at Location II is at most 4900 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 3000 and 3800 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 Location I production Location II production To Pulsar Factories City A $7 City B 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. Minimize c=7x+4y+8(3000-x)+11 (3800-y) subject to the constraints Location II to City A shipping Location II to City 8 shipping Location I to City A shipping Location I to City 8 shipping $8 $4 $11 x≤6500 x 3000-x≤ 4900 3000-x>0 3800-20 y 20 x
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 6500 televisions/month, whereas the output at Location II is at most 4900 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 3000 and 3800 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.
c = 7x + 4y + 8 (3000-x)+11 (3800 - y)
C=
subject to the constraints
Location I production
Location II production
Location II to City A shipping
To Pulsar Factories
City A
$7
City B
$4
$8
$11
Location II to City B shipping
Location I to City A shipping
Location I to City B shipping
x < 6500
X
3000x4900
3000-x>0
3800 y 20
x 20
ΥΣΟ
X
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