Question
In: Mechanical Engineering
An alloy manufacturer is planning to produce 1000 kg of an alloy with 25% of metal...
An alloy manufacturer is planning to produce 1000 kg of an alloy with 25% of metal A and 75% of metal B by combining five available alloys. The quantity available and prices for these alloys is shown in the following table. Alloy Type 1 Type 2 Type 3 Type 4 Type 5 %A 10 15 20 30 40 %B 90 85 80 70 60 Available quantity, kg 300 400 200 700 450 Price $/kg 6 10 18 24 30 As the production engineer, you are asked to determine the production schedule that will minimize cost. (a) Clearly formulate the problem giving the objective function and constraints. Clearly show the design variables. (b) Put the problem in standard form. (c) Suggest a method for solving the problem. (d) By hand, solve the problem for the first three tableaus. Adapted from Belegundu and Chandrupatla, Optimization concepts and applications in engineering, Second edition
Solutions
samet mamat answered 2 years agoRelated Solutions
Assume you have a metal alloy - an aluminum alloy for example - that has been...
Assume you have a metal alloy - an aluminum alloy for example -
that has been welded and then heat treated in a way that leaves you
uncertain as to the microstructure. Since the component is to be
used for a critical application, you want to be sure of both the
structure and mechanical properties. You want to create a single
phase structure so that you can "start over" with a new heat treat
cycle to more exactly and carefully...
Currently 1000 workers are in the agricultural sector. They produce 800,000 kg of bananas. There is...
Currently 1000 workers are in the agricultural sector. They
produce 800,000 kg of bananas. There is surplus labor of 100
workers. Toys are produced in the industrial sector. There is a
kink in the production function at L=900, Q = 800,000.
Now suppose 200 workers go to the industrial sector. The remaining
workers produce 750,000 kg bananas (thus surplus labor is gone).
The P(bananas)/P(toys) =10 now. How much does the industrial sector
have to pay each worker to come work...
If you need to produce 3.50 kg of copper metal from a contaminated sample of reclaimed...
If you need to produce 3.50 kg of copper metal from a
contaminated sample of reclaimed copper wiring, which is 68.3%
copper, how many kg of reclaimed copper wiring would you need to
buy if your percent yield at each step is 90%? Assume that you will
isolate the copper wiring by going through the steps in this lab.
Be sure to show all stoichiometry used. There are 7 steps.
A manufacturer is planning to produce and sell a new product. It would cost $20 million...
A manufacturer is planning to produce and sell a new product. It
would cost $20 million at Year 0 to buy the equipment necessary to
manufacture the product. The project would require net working
capital at the beginning of each year in an amount equal to 15% of
the year's projected sales; for example, NWC0 =
15%(Sales1). The product would sell for $30 per unit,
and believes that variable costs would amount to $15 per unit.
After Year 1, the...
A manufacturer is planning to produce and sell a new product. It would cost $20 million...
A manufacturer is planning to produce and sell a new product. It
would cost $20 million at Year 0 to buy the equipment necessary to
manufacture the product. The project would require net working
capital at the beginning of each year in an amount equal to 15% of
the year's projected sales; for example, NWC0 =
15%(Sales1). The product would sell for $30 per unit,
and believes that variable costs would amount to $15 per unit.
After Year 1, the...
Explain what is meant by Hall-Petch strengthining of a metal alloy
Explain what is meant by Hall-Petch strengthining of a metal
alloy
We have a metal alloy (bcc) that Metal A is FCC, 30 atom% (40.244 wt%), r=0.2...
We have a metal alloy (bcc) that
Metal A is FCC, 30 atom% (40.244 wt%), r=0.2 nm, A = 55
g/mol
and, Metal B is BCC, 70 atom% (59.756 wt%), r=0.24 nm, A = 35
g/mol
1. Find the volume per atom for metal A and metal B by dividing
the unit cell volume by the number of atoms in the unit cell. Put
your units in cm3/atom.
2. Use the atom% values and the answers to (a) to find...
differentiate the mechanisms of solid solution strengthening and precipitation hardening in a metal alloy
differentiate the mechanisms of solid solution strengthening and
precipitation hardening in a metal alloy
e are choosing material for a round rod. The material must be a metal or alloy....
e are choosing material for a round rod. The material must be a
metal or alloy. The length of the rod must be close to 1 m, and its
cross-sectional diameter must be between 1 mm and 3 mm. Its natural
frequency of vibration, f, should be as low as possible.
(a) Clearly list the constraints, objective, and free variables.
(b) What is the performance index of the material? (c) What are the
best 2 material candidates?
e are choosing material for a round rod. The material must be a metal or alloy....
e are choosing material for a round rod. The material must be a
metal or alloy. The length of the rod must be close to 1 m, and its
cross-sectional diameter must be between 1 mm and 3 mm. Its natural
frequency of vibration, f, should be as low as possible.
(a) Clearly list the constraints, objective, and free variables.
(b) What is the performance index of the material? (c) What are the
best 2 material candidates?
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