Problem : Two components A and B are connected in series in a system. It is giventhat (MTBF)A = 6000 hours and (MTBF)B = 10,000 hours. Determine the reliability ofthe system for a mission life of 10,000 hours.

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Answered: Problem : Two components A and B are…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Two connected tanks, each with a capacity of 50 liters, contain brine (saltwater). Initially, the first tank contains 18 liters of brine with a salt concentration of 3 grams per liter and the second contains 17 liters of brine with a salt concentration of 2 grams per liter. At t = 0 brine with a salt concentration of 6 grams per liter flows into the first tank at 8 liters per hour. Well-stirred brine flows from the first tank into the second at 7 liters per hour, from the second into the first at 5 liters per hour, from the first into a drain at 4 liters per hour, and from the second into a drain at 3 liters per hour. (a) Determine the volume (liters) of brine in each tank as a function of time.(b) Give an initial-value problem that governs the amount (grams) of salt in eachtank as a function of time.(c) Give the interval of definition for the solution of this initial-value problem.
Jenck's Homemade Ice Cream, LLC is planning its production for next week. As there is a current shortage of fresh milk and one of the mixing machines is broken, demand for chocolate chocolate-chip ice cream and chocolate peanut-butter ice cream continues to outpace the company's production capacities. The mixing machines will be available for only for only 158.6 hours, and only 17500 gallons of high grade milk will be available. One hundred gallons of chocolate chocolate-chip requires 0.6 hour of mixing and 75 gallons of milk. One hundred gallons of chocolate peanut-butter ice cream requires 0.8 hour of mixing and 80 gallons of milk. If company earns a profit of $115.00 per hundred gallons of chocolate chocolate-chip and $130.00 per hundred gallons of chocolate peanut-butter, how many gallons of each ice cream should company produce next week to maximize profit? How much profit will result? (Use x for hundred gallons of chocolate chocolate-chip and y for hundred gallons of chocolate…
A tank containing chocolate milk initially contains a mixture of 460 gallons of milk and 40 gallons of chocolate syrup. Milk is added to the tank at the rate of 8 gallons per minute and syrup is added at a rate of 2 gallons per minute. At the same time, chocolate milk is withdrawn at a rate of 10 gallons per minute. Assuming perfect mixing of milk and syrup, determine how much syrup will be in the tank after 10 minutes.
Please provide me a step by step solution And which option is correct
A constant number of files are processed daily at Mehenti Carobar (MC) Pvt. Ltd. Three clerks can do the processing. To process MC’s daily files, the Senior clerk takes 2 hours more than the Head clerk; while the Junior clerk takes six more hours than the Senior clerk to process the same files. When working together, the Senior clerk and the Junior clerk can process a day’s files in just four hours. Today, Junior clerk has reported sick. How much time will it take the Head clerk and the Senior clerk, working together, to process MC’s daily files?
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard model requires 5 hours to assemble and 1 hours for finishing touches. The artisan model requires 2 hours to assemble and 4 hours for finishing touches. Based on their current staffing, they can manage a maximum number of assembly hours available is 50 per day, and the maximum number of finishing hours available is 64 per day. Let x = the number of standard model bookcases produced per day and y = the number of artisan model bookcases produced per day. Write the system of inequalities that represents the maximum number of bookcases that can be produced in one day. 0 Graph the system of inequalities, remember to include x >0 and y > 0 in your graph to get full credit. You will need to include four lines. 25 24 VI
In a tank containing 200 liters of freshwater, 50 kg of salt is poured instead of 40kg. To correct this condition, 10 liters of brine are allowed to flow out per minute while 10 liters of fresh water per minute are pumped into the tank. If the mixture is kept uniform by stirring, find the time required for the tank to contain the desired amount of salt.
Bathay flour company can sell organic flour for p=1000-3x dollars per kg when x kg are produced and sold, and the total cost of production consist of a fixed overhead of 66,500 dollars plus 20 dollars per kg. Plant capacity limits production to no more than 200kg. How many kg flour must bathay company sell to break even?
a plant has a 200 horsepower that works cpnsstatnly for 3000 hours per year. it is using a drive motor with an efficiency of 84.3%. The motor has reached its life span, and needs to be changed. A new one will cost $1,100. A motor with an efficiency of 86.3% will cost $13,000 and the installation of the motor will be $1,200. Both motors will last for 20 years but then would need a new one Find the annual savings when it comes to replacing the old compressor with the more efficient compressor.

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Problem : Two components A and B are connected in series in a system. It is given that (MTBF)A = 6000 hours and (MTBF)B = 10,000 hours. Determine the reliability of the system for a mission life of 10,000 hours.