Problem 4-10 (Static)The following represents a project that should be scheduled using CPM:IMMEDIATEPREDECESSORSACTIVITYABсDEFGHb. What is the critical path?B-E-G-HO A-D-G-HO A-C-F-HO A-D-F-HAABC, DD,EF,GProject completion timea111Probability23312TIMES (DAYS)m3223444bc. What is the expected project completion time?Note: Do not round intermediate calculations. Round your answer to 2 decimal places.days533411565d. What is the probability of completing this project within 16 days?Note: Use Excel's NORMSDIST() function to find the correct probability for your computed Z-value. Do not round intermediatecalculations. Round "z" value to 2 decimal places and final answer to 4 decimal places.

A network diagram shows the link of each task with the duration taken by each activity with respect…

Answered: Problem 4-10 (Static) The following…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 15EQ

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Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $1 produced by steel requires $0.80 of coal and $0.20 of steel. Find the annual production (output) of coal and steel if the total annual production is $20 million.
4. Salary (pesos) f 1001-2000 7 2001-3000 12 3001-4000 10 4001-5000 5001-6000 Compute the following: a. average weekly salary of the employees Solution: Salary (pesos) Xm fXm 1001-2000 2001-3000 12 3001-4000 10 4001-5000 5001-6000 5 N= 48 Efxm = _
Use the GRAPHICAL METHOD to solve this LP problem.
What is the correct option please?
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The long run. A chair manufacturer hires its assembly-line labour for $18 an hour and calculates that the rental cost of its machinery is $6 per hour. Suppose that a chair can be produced using 4 hours of labour or machinery in any combination. The firm is currently using 1 hour of labour for every 3 hours of machine time. (Assume that labour is on the horizontal axis and capital is on the vertical axis). 3. Graphically illustrate your answer by drawing an isoquant, an isocost line for the current combination of labour and capital and an isocost line for the optimal combination of labour and capital. An isocost corresponding to the optimal combination of labour and capital is [a vertical line, a horizontal line, an upward sloping straight line, an upward sloping curve which is not a straight line, a downward sloping straight line, a downward sloping curve which is not a straight line, L-shaped] has slope [ ] at the optimal combination of inputs An isoquant…
A model is built to explain the evolution of spending on tourism and recreation in a certain group of families (Y in USD/person/year). As potential explanatory variables are considered: X1 average annual income per person in the family (in USD), X2 – number of people in the family, X3 – nature of employment of the head of household If X3=1, when the head of the family is self-employed, X3=0, when the head of the family is an employee Based on the collected data, linear correlation coefficients between variables were calculated and obtained 0,84 R, = -0,47 [1 -0,55 0, 62 R= 1 -0,42 0,75 1 Using Hellwig's method, select the optimal combination of explanatory variables for the tourism and recreation expenditure model.
I Example 12.8. A firm uses milling machines, grinding machines and lathes to pro- duce two motor parts. The machining times required for each part, the machining times avail- able on different machines and the profit on each motor part are given below : .Machining time reqd. for the motor part (mts) Max. time. available per week (minutes) Type of machine I II Milling machines Grinding machines Lathes Profit/unit (Rs.) 10 4 2,000 3 2 900 6 12 3,000 100 40 Determine the number of parts I and II to be manufactured per week to maximize the profit.
Calcium is the most abundant mineral in the human body and has several important functions. Most body calcium is stored in the bones and teeth, where it functions to support theirstructure. Recommendations for calcium are provided in Dietary Reference Intakes, developed by theInstitute of Medicine of the National Academy of Sciences. The recommended adequate intake (RAI) of calcium for adults (ages 19–50 years) is 1000 milligrams (mg) per day. Suppose that we want to perform a hypothesis test to decide whether the average adult with an income below the poverty level gets less than the RAI of 1000 mg.a. Determine the null hypothesis for the hypothesis test.b. Determine the alternative hypothesis for the hypothesis test.c. Classify the hypothesis test as two tailed, left tailed, or right tailed.
Huntco produces tomato sauce at five different plants. The tomato sauce is stored at one of three warehouses (W/H). The per-ton cost (in hundreds of dollars) of producing tomato sauce at each plant and shipping it to each warehouse; capacity of the plants; and the fixed cost of setting up the plants are given in the below table. Cost to ($/ton) DIIT From plant WH 1 WH2 WH 3 Capacity (tons) Fixed cost (x1,000 in $) Plant 1 8 10 12 300 Plant 2 200 45 Plant 3 6 300 Plant 4 5 7 200 42 Plant 5 7 6 400 40 Huntco has 4 customers. The cost of shipping a ton of sauce from each warehouse to each customer; customers' demand quantities; and the fixed cost of maintaining the warehouses are given below. Cost to ($/ton) Fixed cost From WH Customer 1 Customer 2 Customer 3 Customer 4 (x1,000 in $) WH 1 40 80 90 50 30 WIH 2 70 70 60 80 40 WIH 3 80 30 50 60 30 Demand (tons) 200 300 150 250 We would like to meet the demand at minimum cost using an appropriate mathematical model. • Decision variables? •…
A biologist has 400 kg of nutrient A, 500 kg of nutrient B, and 300 kg of nutrient C. These nutrients will be used to make 4 types of food, whose contents (in percent per kilogram of food) and whose 'growth values' are shown on the right. Set up the initial simplex tableau that would be used to determine how many kilograms of each food should be produced in order to maximize total growth. PQR s 0 62.5 87.5 0 25 12.5 12.5 100 75 25 A в Growth 90 80 60 40 Value Let x, be the number of kilograms of food type P. Let x, be the number of kilograms of Q. Let x3 be the number of kilograms of R, and let x4 be the number of kilograms of S. What is the objective function? X1 + X4 + +

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