Reference no: EM13961735
Mallory furniture buys 2 products for resale: big shelves (B) and medium shelves (M). Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet available for storage. Profit for each big shelf is $300 and for each medium shelf is $200.
The linear programming formulation is
Max 300B + 200M
Subject to
500B + 300 M < 75000
100B + 90M < 18000
B, M > 0
I have solved the problem by using QM for Windows and the output is given below. I don't know what it mean though. Can you help me with this. I only need to answer one of the question below. Can you tell me how to go about figuring that information out?
The Original Problem w/answers:
B M RHS Dual
Maximize 300 200
Cost Constraint 500 300 <= 75,000 .4667
Storage Space Constraint 100 90 <= 18,000 .6667
Solution-> 90 100 Optimal Z-> 47,000
Ranging Result:
Variable Value Reduced Cost Original Val Lower Bound Upper Bound
B 90. 0 300. 222.22 333.33
M 100. 0 200. 180. 270.
Constraint Dual Value Slack/Surplus Original Val Lower Bound Upper Bound
Cost Constraint 0.4667 0 75000 60000 90000
Storage Space Constraint 0.6667 0 18000 15000 22500
1. Determine and interpret the optimal solution and optimal objective function value from the output given above.
2. Find the range of optimality for the profit contribution of a big shelf from the output given above and interpret its meaning.
3. Find the range of optimality for the profit contribution of a medium shelf from the output given above and interpret its meaning.
4. Find the range of feasibility for the right hand side value (availability) of money constraint from the output given above and interpret its meaning.
5. Find the range of feasibility for the right hand side value (availability) of storage space constraint from the output given above and interpret its meaning.
6. Determine and interpret the shadow (dual) prices of the two resources.
|
Optimal strategy for the chicago bears
: What is the optimal strategy for the Chicago Bears during the upcoming game against the Green Bay Packers? What is the expected value of this strategy?
|
|
What is the maximum stress in the steel
: The 6 x 12 in timber beam has been strengthened by bolting to it the 5 x ½ in steel reinforcement shown. The modulus of elasticity for wood is 1.8 x 106 psi and for steel is 29 x 106 psi. The beam is bent about a horizontal axis by a couple M = 45..
|
|
Indicate the polarity by proper placement of the symbols
: Draw structural formulas for all possible isomers having the following molecular formulas
|
|
Write a memo to the it manager
: Based on this information, write a 4 page memo to the IT manager, Bob Jones, Describing the steps you would take after this discovery. The memo should also mention any information you find in the OSSTMM that relates to your discovery and offer Rec..
|
|
Problem regarding the cubic feet available for storage
: Each big shelf costs $500 and requires 100 cubic feet of storage space, and each medium shelf costs $300 and requires 90 cubic feet of storage space. The company has $75000 to invest in shelves this week, and the warehouse has 18000 cubic feet ava..
|
|
Opening and closing sections of the pipeline network
: The Kodiak Oil Company owns a pipeline network that is used to convey oil from its source (Node 1) to several storage locations. A portion of the network is shown on the next page. Due to varying pipe sizes, the flow capacities vary (shown below i..
|
|
Study or investigation hypothesis and conclusion briefly
: Review the Raz et al (2015) study attached to this lesson that reviews the association between PM2.5 exposure during pregnancy and childhood autism spectrum disorders. As a group, consider whether the alleged cause and effect relationship is leg..
|
|
What is the force exerted by charges a and b on c
: Two electrons repel each other with a force of 10-8N. How far apart are they?
|
|
What is the total force acting on each charge
: Three test charges, each with a charge of +1x10-6 C, are located at the points of an equilateral triangle. If the legs of the triangle are 10 cm long, what is the total force acting on each charge? (Assume vacuum, or dry air.)
|