Question Some of Anderson's plans will take over one year to complete. Based on what you know about planning, these types of plans are most likely Multiple Choice tactical action-oriented operational first-line strategic

Question 1 (25 points) Suppose the following layout is provided as the initial layout to CRAFT. The flow-between matrix and the distance matrix are given as follows. (All the ci; values are equal to 1.0.) Flow-Between Matrix Distance Matrix A B с E F A B C D E F A 0 8 D 04 0 0502 A - 30 25 80 B — B 45 50 A C 55 50 60 30 25 45 С 0 1 0 с 55 D 6 0 D 25 B E 4 E 30 D F F a. Given the above data and initial layout, which department pairs will not be considered for exchange. b. Compute the cost of the initial layout. c. Compute the estimated layout cost assuming that departments E and F are exchanged. d. In general, when the same data and initial layout are supplied to CRAFT and MULTIPLE, why would one expect MULTIPLE to often (but not always) outperform CRAFT? Also, what type of data and/or initial layout would allow CRAFT to consistently generate layout costs that are comparable to those obtained from MULTIPLE?

3.[5 marks) Let D be the region in the first quadrant (x > 0, y > 0) of the xy-plane bounded by the curves y = VX, y = 2VX, x2 + y2 = 1 and x2 + y2 = 4. Using a change of variables, evaluate the double integral: 2.2? + y2 dA. S12 Hint: Use implicit differentiation to calculate the Jacobian.

Transcribed image text: = 3.[5 marks) Let D be the region in the first quadrant (x >0, y > 0) of the xy-plane bounded by the curves y = VT, y = 277, 2? + y2 = 1 and 2 + y2 = 4. Using a change of variables, evaluate the double integral: 2.x2 + y2 dA ту Hint: Use implicit differentiation to calculate the Jacobian. Sl.

What should be the minimum cross-sectional area of each conductor in a two-core cable 100 m long to limit the total voltage drop to 4% of the declared voltage of 250V when the conductors carry 60A ? The resistivity of the conductor is 2·845 µΩ cm. ANS IS [0·34 cm2]

Which of the following is a true statement? Voltage is the energy per unit charge. Voltage is a force. Voltage is the product of current and time. Voltage is the same as power.

Transcribed image text: A solar system is modelled by R3, with a sun at the origin. Let D be R3 with the origin removed. The gravitational force field exerted by the sun on an object of mass 1 at the point (x, y, z) in D is given by F(x, y, z) = 1 (502 + y2 + 2) 0 (a) [1 mark] Show that F is conservative on R3 - (0,0,0). (b) (1 mark] A meteor of mass 1 is travelling in the solar system. At any time time t, the position of the meteor is given by R(t) = (t, t, t2 - 3) Calculate the work done by the sun on the meteor when 0 <t<2. (e) [2 marks] This solar system is covered in dust particles, which causes the same meteor as in (b) to gain mass as it travels through the solar system. If m is the mass of the meteor and s is the distance travelled by the meteor, then the rate at which m changes with respect to s at the point (x,y,z) is given by dm ds Calculate the total change in the mass of the meteor between t = 0 and t = 2.