Costs per Barrel to Ship Oil Tax per Barrel Distributors Distributors D2 D2 D1 $2 $32 $20 S, $6 S2 $25 $20 S2 $5 $4 An oil company supplies two distributors in the northwest from two outlets, S, and S,. Distributor D, needs at least 3000 barrels of oil, and distributor D2 needs at least 5000 barrels. The two outlets can each furnish up to 5000 barrels of oil. The costs per barrel to ship the oil are given in the accompanying table. There is also a shipping tax per barrel as given in the accompanying table. The oil company is determined to spend no more than $32,000 on shipping tax. Complete parts (a) and (b) below. (a) How should the oil be supplied to minimize shipping costs? Outlet S, should send barrels to distributor D,. (Simplify your answer.) Outlet S, should send barrels to distributor D2. (Simplify your answer.) Outlet S, should send barrels to distributor D,. (Simplify your answer.) Outlet S, should send barrels to distributor D2. (Simplify your answer.) The minimized total shipping cost is $ (Simplify your answer.)

Costs per Barrel to Ship Oil Tax per Barrel Distributors Distributors D2 D2 D1 $2 $32 $20 S, $6 S2 $25 $20 S2 $5 $4 An oil company supplies two distributors in the northwest from two outlets, S, and S,. Distributor D, needs at least 3000 barrels of oil, and distributor D2 needs at least 5000 barrels. The two outlets can each furnish up to 5000 barrels of oil. The costs per barrel to ship the oil are given in the accompanying table. There is also a shipping tax per barrel as given in the accompanying table. The oil company is determined to spend no more than $32,000 on shipping tax. Complete parts (a) and (b) below. (a) How should the oil be supplied to minimize shipping costs? Outlet S, should send barrels to distributor D,. (Simplify your answer.) Outlet S, should send barrels to distributor D2. (Simplify your answer.) Outlet S, should send barrels to distributor D,. (Simplify your answer.) Outlet S, should send barrels to distributor D2. (Simplify your answer.) The minimized total shipping cost is $ (Simplify your answer.)

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Description: Costs per Barrel to Ship OilTax per BarrelDistributorsDistributorsD1D2D1D2S1$32$20$2$6S2$25$20S2$5$4An oil company supplies two distributors in the northwest from two outlets, S, and S,.Distributor D, needs at least 3000 barrels of oil, and distribu

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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Topic Video

Question

Costs per Barrel to Ship Oil
Tax per Barrel
Distributors
Distributors
D1
D2
D1
D2
S1
$32
$20
$2
$6
S2
$25
$20
S2
$5
$4
An oil company supplies two distributors in the northwest from two outlets, S, and S,.
Distributor D, needs at least 3000 barrels of oil, and distributor D, needs at least 5000
barrels. The two outlets can each furnish up to 5000 barrels of oil. The costs per barrel to ship
the oil are given in the accompanying table. There is also a shipping tax per barrel as given in
the accompanying table. The oil company is determined to spend no more than $32,000 on
shipping tax. Complete parts (a) and (b) below.
(a) How should the oil be supplied to minimize shipping costs?
Outlet S, should send
barrels to distributor D,.
(Simplify your answer.)
Outlet S, should send
barrels to distributor Dɔ.
(Simplify your answer.)
Outlet S, should send
barrels to distributor D,.
(Simplify your answer.)
Outlet S, should send
barrels to distributor D2.
(Simplify your answer.)
The minimized total shipping cost is $
(Simplify your answer.)
(b) Find and interpret the values of any nonzero slack or surplus variables. Select the
correct answer below and fill in the answer box to complete your choice.
(Simplify your answer.)
There is a slack variable that indicates that S, could furnish
more barrels
of oil.

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