Although the problems say solve graphically, please solve all problems using the QM for Windows software or solve manually. 8.8The Lifang Wu Corporation manufactures two mod-els of industrial robots, the Alpha 1 and the Beta 2. The firmemploys 5 technicians, working 160 hours each per month, on itsassembly line. Management insists that full employment (that is,all 160 hours of time) be maintained for each worker during nextmonth's operations. It requires 20 labor-hours to assemble eachAlpha 1 robot and 25 labor-hours to assemble each Beta 2 model.Wu wants to see at least 10 Alpha 1s and at least 15 Beta 2s pro-duced during the production period. Alpha 1s generate a $1,200profit per unit, and Beta 2s yield $1,800 each.Determine the most profitable number of each model of robotto produce during the coming month, PX

5 technicians working 160 hours each per month

The Lifang Wu Corporation manufactures two mod- strial robots, the Alpha 1 and the Beta 2. The firm technicians, working 160 hours each per month, on its ne. Management insists that full employment (that is, rs of time) be maintained for each worker during next erations. It requires 20 labor-hours to assemble each mot and 25 labor-hours to assemble each Beta 2 model. see at least 10 Alpha 1s and at least 15

The Lifang Wu Corporation manufactures two mod- strial robots, the Alpha 1 and the Beta 2. The firm technicians, working 160 hours each per month, on its ne. Management insists that full employment (that is, rs of time) be maintained for each worker during next erations. It requires 20 labor-hours to assemble each mot and 25 labor-hours to assemble each Beta 2 model. see at least 10 Alpha 1s and at least 15

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section6.4: Fixed-cost Models

Problem 17P

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4 Sunco processes oil into aviation fuel and heating oil. Itcosts $40 to purchase each 1,000 barrels of oil, which isthen distilled and yields 500 barrels of aviation fuel and 500barrels of heating oil. Output from the distillation may besold directly or processed in the catalytic cracker. If soldafter distillation without further processing, aviation fuelsells for $60 per 1,000 barrels, and heating oil sells for $40per 1,000 barrels. It takes 1 hour to process 1,000 barrels ofaviation fuel in the catalytic cracker, and these 1,000 barrelscan be sold for $130. It takes 45 minutes to process 1,000barrels of heating oil in the cracker, and these 1,000 barrelscan be sold for $90. Each day, at most 20,000 barrels of oilcan be purchased, and 8 hours of cracker time are available.Formulate an LP to maximize Sunco’s profits.
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A manager wants to know how many units of each product to produce on a daily basis in order toachieve the highest contribution to profit. Production requirements for the products are shown inthe following table.ProductMaterial 1(pounds)Material 2(pounds)Labor(hours)A 2 3 3.2B 1 5 1.5C 6 — 2.0Material 1 costs $5 a pound, material 2 costs $4 a pound, and labor costs $10 an hour. Product Asells for $80 a unit, product B sells for $90 a unit, and product C sells for $70 a unit. Availableresources each day are 200 pounds of material 1; 300 pounds of material 2; and 150 hours of labor.The manager must satisfy certain output requirements: The output of product A should not bemore than one-third of the total number of units produced; the ratio of units of product A to units ofproduct B should be 3 to 2; and there is a standing order for 5 units of product A each day. Formulate a linear programming model for this problem, and then solve
1. Cox Electric makes electronic components and has estimated the following for a new design of one of its products. Fixed cost = $24,375 Material cost per unit = $0.17 Labor cost per unit = $0.12 Revenue per unit = $0.68 Note that fixed cost is incurred regardless of the amount produced. Per-unit material and labor cost together make up the variable cost per unit. Assuming that Cox Electric sells all that it produces, profit is calculated by subtracting the fixed cost and total variable cost from total revenue. Construct an appropriate spreadsheet model to find the profit based on a given production level and use the spreadsheet model to answer these questions. a. Construct a one-way data table with production volume as the column input and profit as the output. Breakeven occurs when profit goes from a negative to a positive value; that is, breakeven is when total revenue = the total cost, yielding a profit of zero. Vary production volume from 0 to 100,000 in increments of 10,000.…
1. A distillery produces two types of alcohol for filling and distributing, the regular beer and the premium beer. A batch of regular costs $375 to manufacture and a container of the Premium beer costs $420. The manufacturer wishes to establish the weekly production plan that minimizes cost. Production of these products is limited to processing, testing and material. Each batch of regular beer requires 4 hours processing whereas each batch of premium requires 2 hours of processing. Further each batch of regular requires 4 hours of testing compared to 6 hours of testing for a batch of Super. A batch of regular and a batch of Super each require 1 litre of material. Processing and testing have a maximum of 100 and 180 hours available and the total material available is 40 litres. Because of an agreement, the sales of regular beer are limited to a weekly maximum of 20 batches and to honour an agreement with a loyal distributor, at least 10 batches of premium beer must be sold each week.…
Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens are given below. The profit for either model is $1000 per lot. Fliptop Model Tiptop Model Available Plastic 3 4 36 Ink Assembly 5 4 40 Molding Time 5 2 30 Formulate a LP Model for this problem.
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