M3 1. Consider the following single machine scheduling problem8 37a. Use SPT sequence and find average waiting time (W).JobPd3 4 512 147312232117b. Use EDD sequence and fine maximum lateness (Lmax), average lateness (L)c. Generate a sequence to minimize number of tardy jobs (n).

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Answered: 1. Consider the following single…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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We have five jobs, each of which must go through two machines in the order BA. Their processing times are given below: Job 1 2 3 4 5 Machine A 10 2 18 6 20 Machine B 4 12 14 16 18 Decide the optimum sequence of processing of jobs in order to minimize the total time required. Also find the total minimum elapsed time.
Suppose that the manager in Example 1 wants to establish an optimal inventory policy for frozen orange juice. Again, it is estimated that a total of 1200 cases will be sold at a steady rate during the next year. The manager plans to place several orders of the same size spaced equally throughout the year. Use the following data to determine the economic order quantity; that is, the order size that minimizes the total ordering and carrying cost.1. The ordering cost for each delivery is $75. 2. It costs $8 to carry one case of orange juice in inventory for 1 year. (Carrying costs should be computed on the average inventory during the period.)
find the mximum possible order of S5
Suppose you have been appointed the County Executive in charge of finance in your County. You have allocated funding to two projects, Project A and Project B. By coincidence, Project B happens to be located in your Sub- County. Given below are seventy allocations to various activities in both projects (in Kshs Billions). Funding for Project A 96 21 80 38 20 60 21 50 100 15 81 06 55 40 70 70 10 30 30 35 66 53 50 60 80 35 80 55 50 49 51 60 25 90 90 50 95 50 80 65 60 55 20 30 110 65 50 65 60 80 64 50 66 35 40 60 65 50 51 81 36 90 51 80 50 55 80 30 60 96 Funding for Project B 20 66 59 21 101 108 31 65 34 20 35 80 63 36 95 89 61 48 44 25 50 81 68 59 50 15 21 29 54 50 45 55 80 65 40 29 81 20 104 65 51 60 10 45 60 35 96 55 24…
Suppose you have been appointed the County Executive in charge of finance in your County. You have allocated funding to two projects, Project A and Project B. By coincidence, Project B happens to be located in your Sub- County. Given below are seventy allocations to various activities in both projects (in Kshs Billions). Funding for Project A 96 21 80 38 20 60 21 50 100 15 81 06 55 40 70 70 10 30 30 35 66 53 50 60 80 35 80 55 50 49 51 60 25 90 90 50 95 50 80 65 60 55 20 30 110 65 50 65 60 80 64 50 66 35 40 60 65 50 51 81 36 90 51 80 50 55 80 30 60 96 Funding for Project B 20 66 59 21 101 108 31 65 34 20 35 80 63 36 95 89 61 48 44 25 50 81 68 59 50 15 21 29 54 50 45 55 80 65 40 29 81 20 104 65 51 60 10 45 60 35 96 55 24…
Mo. For each of the following shaded region in Figure 1, can it be the feasible region of a linear program?
Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…
Suppose that a consumer cannot vary hours of work as he or she chooses. In particular, he or she must choose between working q hours and not working at all, where q > 0. Suppose that dividend income is zero, and that the consumer pays a tax T if he or she works, and receives a benefit b when not working, interpreted as an unemployment insurance payment. a. If the wage rate increases, how does this affect the consumer’s hours of work? What does this have to say about what we would observe about the behavior of actual consumers when wages change? Explained also with the graph b. Suppose that the unemployment insurance benefit increases. How will this affect hours of work? Explain the implications of this for unemployment insurance programs. Explained also with the graph
37. The small mail-order firm Sea’s Beginning has onephone line. An average of 60 people per hour call inorders, and it takes an average of one minute to handlea call. Time between calls and time to handle calls areexponentially distributed. If the phone line is busy, Sea’sBeginning can put up to c 2 1 people on hold. If c 2 1people are on hold, a caller gets a busy signal and calls acompetitor. Sea’s Beginning wants only 1% of all callersto get a busy signal. How many people should it be ableto put on hold, that is, what is the required value of c?
Suppose there are 11 buyers and 11 sellers, each willing to buy or sell one unit of a good, with values {$14, $13, $12, $11, $10, $9, $8, $7, $6, $5, $4,}. Assume no transaction costs and a competitive market. At the optimal bid, ask spread, what is the total profit that the market maker makes? $8 $12 $18 $20
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A company is taking bids on four construction jobs. Their bids, in thousands of dollars, are given below. Job 1 Job 2 Job 3 Job 4 Contractor 1 50 46 42 40 Contractor 2 51 48 44 - Contractor 3 - 47 45 45 A dash indicates that the contractor did not bid on the given job. Contractor 1 can do only one job, but contractors 2 and 3 can each do up to 2 jobs. Determine the minimum cost assignment of contractors to jobs.

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1. Consider the following single machine scheduling problem 3 8 3 7 a. Use SPT sequence and find average waiting time (W). Job P d 4 5 12 1 4 7 3 8 7 12 23 21 17 b. Use EDD sequence and fine maximum lateness (Lmax), average lateness (L) c. Generate a sequence to minimize number of tardy jobs (n).