The area manager of the Red, White, and Brew Restaurants is considering two possible expansion alternatives. The required investments, budgeted (expected) controllable margin, and the budgeted (expected) sales of each are as follows: Project Investment Budgeted controllable margin Budgeted Sales Phoenix $120,000 $30,000 $600,000 Chicago $540,000 $50,000 $900,000 The Red, White, and Brew segment has currently $2,000,000 in invested capital and a controllable margin of $250,000. Which one of the following projects will increase the Red, White and Brew division's ROI

Aloaded platform of total mass 500 kg is supported by a dashpot and by a set of springs of effective stiffness 72 kn/m. it is observed that when the platform is depressed through a distance x = 12.5 cm below its equilibrium position and then released without any initial velocity; it reaches its equilibrium position in the shortest possible time without overshoot. find the position and velocity of the loaded platform 0.10 sec. after its release. if a further load of 400 kg is added to the platform, find, i) the frequency of damped vibrations, and i) the amplitude of vibration after 2 complete oscillations, given that the initial amplitude is 15 cm.

The filament of an incandescent lamp has a temperature of 2000k. calculate the fraction of radiation emitted in the visible light band if the filament is approximated as blackbody

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.