Operations Management
Operations Management
2nd Edition
ISBN: 9781260484687
Author: CACHON, Gerard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 2, Problem 11PA
Summary Introduction

To determine: The number of wafers in inventory.

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The Flip Chip Company manufactures nacho chips, potato chips, and related products. There has been a problem in the manufacture of nacho chips. The process begins with the mixing of water, corn and lime (called the MASA). A mixer can produce a batch of 300 lbs of MASA in 2 minutes. The MASA is then cooked. This takes 30 minutes. Only 95% of the MASA makes it to the ovens and of that only 75% is transferred to the next step. There are four ovens. The next step is chip making. The MASA is extruded into the chip itself and the chips are baked. There are 2 chip machines. A total of 950 chips/minute are produced (each chip weighs approximately .5oz). The yield from this process is 72%. The chips are then placed in 20 oz bags. This step takes 2 seconds for each bag. Where is the bottleneck? What recommendation would you make?
A Rhode Island company produces communion wafers for churches around the countryand the world. The little company produces a lot of wafers, several hundred million peryear. When in production, the process produces wafers at the rate of 100 per second.During this production process, the wafers must spend 15 minutes passing througha cooling tube. How many wafers does the cooling tube hold, on average, when inproduction (in other words, don’t count the time they are not in production)?
Consider the mixing process shown in the figure. A mixing chamber initially contains 4 liters of a clear liquid. Clear liquid flows into the chamber at a rate of 10 liters per minute. A dye solution having a concentration of 0.25 kilograms per liter is injected into the mixing chamber at a constant rate of  liters per minute. When the mixing process is started, the well-stirred mixture is pumped from the chamber at a rate of 10 + r liters per minute. (a) Develop a mathematical model for the mixing process. Let Q represent the amount of dye in kilograms in the mixture. (dQ/dt)=? (b) The objective is to obtain a dye concentration in the outflow mixture of 0.1 kilograms per liter. What injection rate r is required to achieve this equilibrium solution? r = ? Would this equilibrium value of r be different if the fluid in the chamber at time t=0 contained some dye? yes, no  or maybe? (c) Assume the mixing chamber contains 4 liters of clear liquid at time t. How many minutes will it take…
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