Question

Prod 100 $130 / unit 90 units / week D 12 min C 10 min A 10 min B 5 min RM #1 $20/unit Prod 200 $125 / unit 80 units / week D 8 min B 5 min A 9 min RM #2 $20/unit Prod 300 $140/ unit 100 units/week C 7 min B 5 min RM #3 $20/unit C 8 min B 6 min RM #4 $20/unit RM #5 $20/unit D 6 min A 7 min RM #6 $10/unit A, B, C & D: 1 unit of each resource Availble time: 2,400 minutes / week Setup time: 20 minutes per machine per task Operating Expenses (not including RM): $11,000/week RM #7 $5/unit 

          Prod 100
$130 / unit
90 units / week
D
12 min
C
10 min
A
10 min
B
5 min
RM #1
$20/unit
Prod 200
$125 / unit
80 units / week
D
8 min
B
5 min
A
9 min
RM #2
$20/unit
Prod 300
$140/ unit
100 units/week
C
7 min
B
5 min
RM #3
$20/unit
C
8 min
B
6 min
RM #4
$20/unit
RM #5
$20/unit
D
6 min
A
7 min
RM #6
$10/unit
A, B, C & D: 1 unit of each resource
Availble time: 2,400 minutes / week
Setup time: 20 minutes per machine per task
Operating Expenses
(not including RM): $11,000/week
RM #7
$5/unit
Show more…
Prod 100 130 / unit 90 units / week D 12 min C 10 min A 10 min B 5 min RM #120/unit Prod 200 125 / unit 80 units / week D 8 min B 5 min A 9 min RM #220/unit Prod 300 140/ unit 100 units/week C 7 min B 5 min RM #320/unit C 8 min B 6 min RM #4 20/unit RM #520/unit D 6 min A 7 min RM #6 10/unit A, B, C D: 1 unit of each resource Availble time: 2,400 minutes / week Setup time: 20 minutes per machine per task Operating Expenses (not including RM):11,000/week RM #7 5/unit

Added by Savannah N.

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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Theory of Constraints, please help and please show your work. Thank you!! Prod 100 Prod 200 Prod 300 $130/unit $125/unit 80 units/week $140/unit 90 units/week 10 units/week D D 8 min D 6 min 12 min RM#7 $5/unit B C 7 min 10 min 5 min 8 min A B A 9 min B 5 min B 6 min A 7 min 10 min 5 min RM RMS RM6 $20/unit $20/unit $20/unit $20/unit $20/unit $10/unit A, B, C & D - 1 unit of each resource Available time: 2,400 minutes/week Setup time: 20 minutes per machine per task Operating Expenses not including RM: $11,000/week
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Transcript

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00:01 Hi, here for the given question we are given that a company manufactures 2 unit so let x1 be number of unit for p1 and x2 be number of unit for p2 so here the maximum profit for p1 is 200 and for p2 it is equal to 300 now there are 3 raw materials m1 m2 and m3 now further here in the question we are given that here there are 5 units of m1 for p1 further here we are given that we need 10 unit of m2 for p1 and whereas we need 18 unit of m2 for p2 and here we are given that we need 10 unit of m3 now further here we are given that m1 is greater than or equal to 50 m2 is greater than or equal to 90 and m3 is greater than or equal to 50 so here now using all the above condition here we have maximum of z is equal to 200 x1 plus 300 x2 whereas subject to constraint equation will be 5 x1 less than or equal to 50 10 x1 plus 18 x2 less than or equal to 90 and again we have 10 x2 less than or equal to 50 whereas x1 and x2 are greater than or equal to 0 so this is the lpb problem lpb formulation so solution of the first part now moving towards the second part of the question here in the second part we are given that here for x we need 20 machine hours and 10 labor hours…
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