A small bakery is open from 5:00 a. m. to 8:00 a. m. every day (i. e. 3 hours). The demand is distributed according to Poisson with a rate: lambda= 0.75 loaves per hour. Each bread is sold for $400, while its cost is estimated at $200. At the end of the day, the remaining breads can be auctioned at $80 per unit. If a customer comes in to buy bread and there is none, it is considered a lost sale. a) Find the number of breads you should schedule each day in order to maximize your expected demand.
b) How much would you be willing to pay for perfect information?

Afoot bridge is made as a simple deck, 4 m long, with a cross section 2 m (wide) and 20 cm thick, and made of wood. the deck is supported at the two ends. the maximum load allowable on the bridge is 10 tons, provided it is uniformly distributed on the deck. to sense this load, a strain gauge is placed at the center of the bridge and its resistance is monitored. if the sensor has a nominal resistance of 350 s2 and a gauge factor of 3.6, what is the reading of the strain gauge at maximum load? the modulus of elasticity for the wood used in the construction is 10 gpa.