For each ingredient, the bakery capacity can never be exceeded during any week. Select the option that models this constraint. ai,kxi,t 200bk Vt = 1,... n; i = 1, ..., m 1xi,t
For each ingredient, the bakery capacity can never be exceeded during any week. Select the option that models this constraint. ai,kxi,t 200bk Vt = 1,... n; i = 1, ..., m 1xi,t
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![=
1,.
...9
A bakery produces cookies of type i
1,. ., n, where one serving of one
cookie of type i requires a¿,k units of ingredients k = 1, . . . , q and has value vį. The bakery can
only hold so much of each ingredient. The capacity for each ingredient is by and cannot be
exceeded during any week. Demands dit for cookie i in week t must also be met. Assume no initial
inventory.
m in weeks t
9
=
Express each of the following as linear constraint(s) in these parameters using the nonnegative
decision variables:
=
Mist
number of cookies of type i produced in week t
Ii,t = inventory of cookies of type i held at the end of week t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e27b5d-0ab8-428e-954d-97d64fc14c61%2F417d128f-09f7-4d23-b5bf-43a44874ff06%2Fx634zsv_processed.png&w=3840&q=75)
Transcribed Image Text:=
1,.
...9
A bakery produces cookies of type i
1,. ., n, where one serving of one
cookie of type i requires a¿,k units of ingredients k = 1, . . . , q and has value vį. The bakery can
only hold so much of each ingredient. The capacity for each ingredient is by and cannot be
exceeded during any week. Demands dit for cookie i in week t must also be met. Assume no initial
inventory.
m in weeks t
9
=
Express each of the following as linear constraint(s) in these parameters using the nonnegative
decision variables:
=
Mist
number of cookies of type i produced in week t
Ii,t = inventory of cookies of type i held at the end of week t
![For each ingredient, the bakery capacity can never be exceeded during any week. Select the option
that models this constraint.
Ai,kxi,t ≥ 200bk Vt = 1,...n; i = 1, . . ., m
OΣ1 Xist ≤ b k
Vk= 1,..., q; t = 1, ..., n
-
\t=1,..., n
Im
O 1
○ Σ2²₁ Ii,txi,t ≤200
O None of the above
Ai,kXi,t ≥ b k Vt = 1, ... n; i = 1, . . . , m; k = 1, ..., q
Σ²1 Ai‚kxi,t ≤ bk_ \k = 1,...,q; t = 1, . . . , n
m
Ο S
Σ/²1 Ii, txi,t ≤ bk_ \t= 1,...,n; q = 1, ….., n
si=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e27b5d-0ab8-428e-954d-97d64fc14c61%2F417d128f-09f7-4d23-b5bf-43a44874ff06%2Fdnewlls_processed.png&w=3840&q=75)
Transcribed Image Text:For each ingredient, the bakery capacity can never be exceeded during any week. Select the option
that models this constraint.
Ai,kxi,t ≥ 200bk Vt = 1,...n; i = 1, . . ., m
OΣ1 Xist ≤ b k
Vk= 1,..., q; t = 1, ..., n
-
\t=1,..., n
Im
O 1
○ Σ2²₁ Ii,txi,t ≤200
O None of the above
Ai,kXi,t ≥ b k Vt = 1, ... n; i = 1, . . . , m; k = 1, ..., q
Σ²1 Ai‚kxi,t ≤ bk_ \k = 1,...,q; t = 1, . . . , n
m
Ο S
Σ/²1 Ii, txi,t ≤ bk_ \t= 1,...,n; q = 1, ….., n
si=
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