4. A metal fabrication shop has a single punch press. There are currently three parts thatthe shop has agreed to produce that require the press, and it appears that they will besupplying these parts well into the future. You may assume that the press is the criticalresource for these parts, so that we need not worry about the interaction of the presswith the other machines in the shop. The relevant information is listed below:Part NumberAnnual DemandSetup Cost ($)Cost per unit ($) Production Rateper year12,500801645,000235,5001201840,0001,450602226,000Holding costs are based on an 18 percent annual interest rate, and the products are tobe produced in sequence on a rotation cycle. Setup times can be considered negligible.a. What is the optimal time between setups for part number 1?b. What percentage of the time is the punch press idle, assuming an optimalrotation cycle policy?

Given dataPartAnnual Demand Set Up Cost Cost (per Unit)Production…

Answered: 4. A metal fabrication shop has a…

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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5. Next Monday, Concrete Co need to supply concrete to four different building sites. They prefer to use plants 1 and 2 for the production and delivery of the concrete, because they are quite close to the sites, but find it necessary to use plant 3 to satisfy the rest of the demand. The table below shows supply and demand amounts in tonnes, and cost coefficients in $ per tonne. Cij Site 1 70 40 130 75 Plant 1 Plant 2 Plant 3 Demand Site 2 40 50 210 23 Site 3 20 30 80 19 Site 4 50 60 90 25 Supply 80 55 7 Concrete Co wish to minimise their total cost. Treat this as a primal LP problem. (a) Show that Concrete Co have balanced their transportation problem. (b) Use the Least Cost Method to find a basic feasible solution to this primal problem. Verify that you have the correct number of basic variables. [Hint: You should look at 13 first. Then 12 and 21 are both contenders, but it does not matter what order you choose them in.] (c) Use complementary slackness conditions to find a dual…
need comprehensive and correct answers.This question is about optimization.
Arrange a plan to order from the supplier using Part Period Balancing and Least Unit Cost method. Ordering lead time of the components is 1 period. Then Calculate the total cost of each method.
A company is producing 3 products A ,B and C. BOM of each product is given in the table below. Material Unit Product A Product B Product C Steel Ton 4 Aluminum KG 50 40 60 Wood CFT 10 10 Glass SFT 30 30 Rubber Sealer RFT 100 120 Screws Рack 5 6 4 Nut Bolt Dozen 2 Calculate the material requirements for 6 months production for all the products if monthly demand for A=1000, B=1200 and C=1500 units
I need the answer as soon as possible
Case Whole Foods Market Grows Through Mergers and Acquisitions Over three decades ago, four businesspeople who had experience in retailing natural foods through food stores believed that there was a demand for a supermarket for natural foods. As a result, in 1980 in Austin, Texas, they founded the first Whole Foods Market store in a building that had around 10,000 square feet and a staff of 19. This store was quite large compared to health food stores at the time. By 1984, the company was successful enough to expand to Houston and Dallas. In 1988, they purchased the Whole Food Company in New Orleans and expanded there. The next year, they moved into the West Coast with a store in Palo Alto, California. Even though the company has built a number of its own stores, much of the company growth has come through mergers and acquisitions, many of which came in the 1990s in such places as North Carolina, Massachusetts, Rhode Island, both Northern and Southern California, and Michigan. After…
Hoosier Power needs to determine a capacity expansion plan to meet Bloomington’s power needs for thenext 20 years. The current capacity is 5000 kwh. The demand for the current year is 4000 kwh, and demand is expected to increase by 1000 kwh in each succeeding year. At the beginning of each year, Hoosier Power must determine the amount of capacity to add, given the following inputs: ■ Any year in which capacity is added, a fixed cost of $120,000 is incurred plus a cost of $120 per kwh of capacity. ■ At most 10,000 kwh of capacity can be added in a single year. ■ It costs $25 per year to maintain a unit of capacity. ■ It costs $12 per year to produce a kwh. ■ If production does not meet demand, a shortage cost of $80 per kwh short is incurred. Develop a linear integer model to help Hoosier Power minimize its costs for the next 20 years.
please help
General Ford produces cars in Los Angeles and Detroit and has a warehouse in Atlanta. The company supplies cars to customers in Houston and Tampa. The costs of shipping a car between various points are listed as the table below. where a blank means that a shipment is not allowed. Los Angeles can produce up to 1600 cars, and Detroit can produce up to 3200 cars. Houston must receive 1800 cars, and Tampa must receive 2900 cars. 1. Determine how to minimize the cost of meeting demands in Houston and Tampa. 2. Modify the answer to part a if no shipments through Atlanta are allowed. From LA Detroit Atlanta Houston Tampa To LA Detroit $97 $94 $87 $129 $147 $100 $103 $145 Atlanta Houston $95 $125 $103 $110 $95 $88 $60 $103 Tampa $156 $148 $56 $100

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