Problem 1: We need to build up to 6 power plants (L1 to L6) to serve 7 communities (C1 to C7). The cost to build a power plant is 6.5 million (AED). The maximum capacity of each plant is 11 million watts. The demand of each community is given below: Community 1 2 3 4 5 6 7 Demand in millions watt 3 4 6 4 5 2 4 The benefits (in $/watt but sometimes it is a loss) from serving the community is given below: Location C1 C2 C3 C4 C5 C6 C7 L1 4 4.5 2.5 1.5 3.5 4.2 -0.5 L2 4 4.5 2.5 0.5 1 0.5 -3.5 L3 3.5 5 4 1.5 4.5 3.5 0 L4 1.3 3 5 1.8 5.5 3.3 1.3 L5 0.5 1 1.5 5.5 4 5 3 L6 -1 0 1.5 4.5 4 3.3 2 Find which power plants should be built:

Draw the engineering stress-strain curve for (a) bcc; (b) fcc metals and mark important points.

Find the minimum film thickness for a journal bearing with the data below. shaft diameter, d-50 mm, clearance ratio, cdratio? 0.001, shaft speed, n 2000 rpm; bearing length. i 200 mm; eccentricity ration, ? -0.55. ( note, cdratio-ca/d) the minimum film thickness is um

Determine the time of the day and month of the year at which the peak sensible cooling load occurs for a top floor, north-eastern corner room of an office building in durban for the following conditions: floor area: 8 x 8 x 3 m east and north walls: 115 mm face brick (outside), 20 mm air space, 115 mm ordinary brick (inside) with 15 mm plaster roof construction: suspended plasterboard ceiling, 450 mm air space, 150 mm concrete, 75mm screed, waterproofing no heat transfer across other surfaces window area 3x 1,5 m high in north wall only. ordinary glass with venetian blinds. lights and occupants : from 07: 00 to 18: 00 average light density: 25 w/m2 number of occupants : 5 seated, light office work room temperature 24°c