9.Suppose we modify the production model in Section 1.3 to obtain the following mathematicalmodel:Мах 10хs.t.ax < 40where a is the number of hours of production time required for each unit produced. Witha = 5, the optimal solution is x = 8. If we have a stochastic model with a = 3, a = 4, a = 5,6 as the possible values for the number of hours required per unit, what is the optimalor a =value for x? What problems does this stochastic model cause?

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Answered: 9. Suppose we modify the production…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A system consists of two identical pumps, #1 and #2. If one pump fails, the system will still operate. However, because of the added strain, the remaining pump is now more likely to fail than was originally the case. That is, r = P(#2 fails | #1 fails) > P(#2 fails) = q. If at least one pump fails by the end of the pump design life in 12% of all systems and both pumps fail during that period in only 8%, what is the probability that pump #1 will fail during the pump design life?
6. Doctors can measure the amount of blood in a patient by injecting a known volume of red blood cells tagged with chromium-51. After allowing the blood to mix, they measure the percentage of tagged cells in a sample of the patient's blood and use a proportion to compute the original blood volume. Chromium-51 has a half-life of 27.7 days. How many days would it take for 70% of the Chromium-51 sample to decay? Round to the nearest tenth.
Using Excel Solver, solve the following LP model. x₁ = In-state freshmen in college i; i = 1, 2, ... 6 y₁ = Outofstate freshmen in college i; i = 1, 2, ….. 6 Maximize Z = 8,600(Σ.x; )+19,200 (Σ») subject to X₁+₁ ≤ 470 X2 + y₂ ≤1300 x3 + 1/3 ≤ 240 X4+4 ≤820 X5 +15 ≤1060 X6 +16 ≤610 ΣSATI, (x;) + ΣSATO; (y;) Σx; + Σy; ΣΥ; Σx; + Σy; Xi X¡ + Yi ≤.47 Xį, Y¡ ≥ 0 - ≥.30, i = 1, 2, ... 6 Σx; +Σy; ≤ 4,500 ≥ 1150
2.b. Given a monopsony's production function Q = 45L - 0.25L², market wage function w = 10 + 3L, and price of the Q in the product market P = 10, calculate the extent of monopsonistic exploitation if firm is profit maximizing. Using your calculated values, graphically illustrate and discuss your results.
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