If a randomly selected component needs rework, what is the probability that it came from line Al? From line A2? From line A3?
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round off answer to 4 decimal
A company uses three different assembly lines--A1, A2, and 43- to manufacture a particular
component. Of those manufactured by line 41, 8% need rework to remedy a defect, whereas
10% of 42's components need rework and 5% of 43's need rework. Suppose that 40% of all
components are produced by line Al, 35% are produced by line 42, and 25% come from line A3.
If a randomly selected component needs rework, what is the probability that it came from line
Al? From line A2? From line A3?
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- Johnson Industries received a contract to develop and produce four high-intensity longdistance receiver/transmitters for cellular telephones. The i rst took 2,000 labor hours and $39,000 worth of purchased and manufactured parts; the second took 1,500 labor hours and $37,050 in parts; the third took 1,450 labor hours and $31,000 in parts; and the fourth took 1,275 labor hours and $31,492 in parts.Johnson was asked to bid on a follow-on contract for another dozen receiver/transmitter units. Ignoring any forgetting factor effects, what should Johnson estimate time and parts costs to be for the dozen units? (Hint: There are two learning curves—one for labor and one for parts.)Table 1.1 (below) is a record of the travelling times of the time taken for ten (10) employees to deliver packages, to ten (10) of their distribution centres in Trinidad. These centres are located in Chaguanas (I), Arima (II), Sangre Grande (III), Princes Town (IV), Manzanilla (V), Rio Claro (VI), San Juan (VII), Point Fortin(VIII), San Fernando (IX) and Port of Spain (X). Worker Worker 1 Worker 2 Worker 3 Worker 4 Worker 5 Worker 6 Worker 7 Worker 8 Worker 9 Worker 10 I 26 30 29 26 29 27 25 30 25 25 II 40 45 30 32 37 37 42 41 41 40 Table 1.1 - Employee Travelling time (minutes) III 27 30 20 25 27 30 30 26 29 23 IV 35 32 32 30 31 30 35 28 36 30 V 39 35 30 36 35 36 30 30 40 38 Area VI 70 75 83 80 85 90 69 87 90 88 VII 30 30 34 29 27 30 34 28 30 32 VIII 75 79 80 75 76 69 66 67 78 68 IX 63 62 62 60 60 57 58 58 60 62 X 30 32 30 29 30 35 36 37 34 28A drug company manufactures two kinds of sleeping pill: Pill 1 and Pill 2. The pills contain a mixture of two different chemicals, A and B (and no other ingredients). Pill 1 must contain at least 65% Chemical A and Pill 2 must contain at least 55% Chemical A. There are two different ways to produce Chemicals A and B. Operating Process P requires 7 Kgs of A raw material to run for one hour and 2 hours of labor time (because it must be supervised by 2 workers). Operating Process Q requires 5 Kgs of A raw material to run for one hour and 3 hours of labor time. Operating Process P produces three Kgs of each chemical for one hour runtime. Operating Process Q produces 3 Kgs of Chemical A and one Kg of Chemical B for one hour runtime. There are L > 0 hours of labor and R > 0 Kgs of raw material available. The company earns A profit from Pill i of πi ≥ 0 (i = 1,2) Kshs per Kg. The company wishes to find a production plan that maximizes the profit it makes from manufacturing sleeping…
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- 3.3 4.manufactures 37-in. high def LCD tvs in 2 separate locations, Locations I and II. The output at Location I is at most 6000 televisions/month, whereas the output at Location II is at most 5000 televisions/month. TMA is the main supplier of tvs to the Pulsar Corporation, its holding company, which has priority in having all its requirements met. In a certain month, Pulsar placed orders for 3000 and 4000 televisions to be shipped to two of its factories located in City A and City B, respectively. The shipping costs (in dollars) per television from the 2 TMA plants to the 2 Pulsar factories are as follows. To Pulsar Factories From TMA City A City B Location I $7 $3 Location II $8 $9 TMA will ship x televisions from Location I to city A and y televisions from Location I to city B. Find a shipping schedule that meets the requirements of both companies while keeping costs to a minimum. (x,y)= What is the minimum cost? 6.Solve the linear programming problem by…Suppose that medical science has a cancer-diagnostic test that is 95% accurate on both those who do and those who do not have cancer. If 0.005 of the population actually has cancer, compute the probability that a particular individual has cancer, given that the test detected cancer.