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In the Critical Path Method $(CPM)$, the cost-time slope of an activity is given by $\dfrac{\text{Crash Cost – Normal Cost}}{\text{Crash Time}} \\$ $\dfrac{\text{Normal Cost}}{\text{Crash Time – Normal Time}} \\$ $\dfrac{\text{Crash Cost}}{\text{Crash Time – Normal Time}} \\ $ $\dfrac{\text{Crash Cost – Normal Cost}}{\text{Normal Time – Crash Time}}$
asked Feb 19, 2020 in Operations Research jothee 4.9k points
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A company is hiring to fill four managerial vacancies. The candidates are five men and three women. If every candidate is equally likely to be chosen then the probability that at least one woman will be selected is _______(round off to $2$ decimal places).
asked Feb 19, 2020 in Materials, Manufacturing and Industrial Engineering jothee 4.9k points
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For an assembly line, the production rate was $4$ pieces per hour and the average processing time was $60$ minutes. The $\text{WIP}$ inventory was calculated. Now, the production rate is kept the same, and the average processing time is brought down by $30$ percent. As a result ... time, the $\text{WIP}$ inventory decreases by $25\%$ increases by $25\%$ decreases by $30\%$ increases by $30\%$
asked Feb 19, 2020 in Materials, Manufacturing and Industrial Engineering jothee 4.9k points
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Two business owners Shveta and Ashok run their business in two different states. Each of them, independent of the other, produces two products $A$ and $B$, sells them at $Rs.\:2,000$ per kg and $Rs.\:3,000$ per kg, respectively, and uses Linear ... absolute value of the difference in daily (optimal) revenue of Shveta and Ashok is _________ thousand Rupees (round off to $2$ decimal places).
asked Feb 19, 2020 in Materials, Manufacturing and Industrial Engineering jothee 4.9k points
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$\textbf{Consider two cases as below.}$ $\textbf{Case 1:}$ A company buys $1000$ pieces per year of a certain part from vendor $'X'.$ The changeover time is $2$ hours and the price is $Rs.\: 10$ per piece. The holding cost rate per part is $10\%$ per year. ... percentage reduction in the annual cost of $\text{Case 2}$, as compared to $\text{Case 1}$ is __________ (round off to $2$ decimal places).
asked Feb 19, 2020 in Materials, Manufacturing and Industrial Engineering jothee 4.9k points
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The activities of a project, their duration and the precedence relationships are given in the table. For example, in a precedence relationship $ X<Y,Z $ means that $X$ is predecessor of activities $Y$ and $Z$ ... $17$ $21$ $23$ $25$
asked Feb 9, 2019 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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A product made in two factories, $P$ and $Q$, is transported to two destinations, $R$ and $S$ ... optimized (the minimum) total transportation cost is $Y$ (in Rupees), then $(X-Y)$, in Rupees, is $0$ $15$ $35$ $105$
asked Feb 27, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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Following data refers to the jobs $(P, Q, R, S)$ which have arrived at a machine for scheduling. The shortest possible average flow time is __________ days. $\begin{array}{|l|l|} \hline \text{Job} & \text{Processing Time (days)} \\ \hline P & 15 \\ \hline Q & 9 \\ \hline R & 22 \\ \hline S & 12 \\ \hline \end{array}$
asked Feb 27, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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Two models, $P$ and $Q$, of a product, earn profits of Rs.$100$ and Rs. $80$ per piece, respectively. Production times for $P$ and $Q$ are $5$ hours and $3$ hours, respectively, while the total production time available is $150$ hours. For a total batch size of $40$, to maximise profit, the number of units of $P$ to be produced is ________.
asked Feb 27, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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A firm uses a turning center, a milling center and a grinding machine to produce two parts. The table below provides the machining time required for each part and the maximum machining time available on each machine. The profit per unit on parts $I$ and $II$ are $Rs. 40$ ... week (minutes) I II Turning machine $12$ $6$ $6000$ Milling center $4$ $10$ $4000$ Grinding Machine $2$ $3$ $1800$
asked Feb 24, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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The demand for a two-wheeler was $900$ units and $1030$ units in April $2015$ and May $2015$, respectively. The forecast for the month of April $2015$ was $850$ units. Considering a smoothing constant of $0.6$, the forecast for the month of June $2015$ is $850$ units $927$ units $965$ units $970$ units
asked Feb 24, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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The annual demand for an item is $10,000$ units. The unit cost is $Rs$. $100$ and inventory carrying charges are $14.4\%$ of the unit cost per annum. The cost of one procurement is $Rs$. $2000$. The time between two consecutive orders to meet the above demand is _______ month($s$).
asked Feb 24, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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In the notation $(a/b/c) : (d/e/f)$ for summarizing the characteristics of queuing situation, the letters $‘b’$ and $‘d’$ stand respectively for service time distribution and queue discipline number of servers and size of calling source number of servers and queue discipline service time distribution and maximum number allowed in system
asked Feb 24, 2017 in Operations Research Arjun 24.6k points
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For a canteen, the actual demand for disposable cups was $500$ units in January and $600$ units in February. The forecast for the month of January was $400$ units. The forecast for the month of March considering smoothing coefficient as $0.75$ is ________
asked Feb 24, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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Following data refers to the activities of a project, where, node $1$ refers to the start and node $5$ ... critical path (CP) in the network is $1$-$2$-$3$-$5$ $1$-$4$-$3$-$5$ $1$-$2$-$3$-$4$-$5$ $1$-$4$-$5$
asked Feb 24, 2017 in Materials, Manufacturing and Industrial Engineering Arjun 24.6k points
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A minimal spanning tree in network flow models involves all the nodes with cycle/loop allowed all the nodes with cycle/loop not allowed shortest path between start and end nodes all the nodes with directed arcs
asked Feb 19, 2017 in Operations Research Arjun 24.6k points
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