1-

It has been stated in Physics that it is impossible to have a physical system with an efficiency greater than 100% (i.e. >1.0) when considering energy out versus energy into the system.

However, Jim's production center sent his manufacturing numbers as follows:

(1) Labor 208 hours @ $10 / hour

(2) Palleted materials 44 units / pallet @ $61 per pallet

(3) Production center sold 241 units at $37 per unit

What is Jim's efficiency in terms of dollars $ out / $ in?

2-

Acme sold a manual pump to Boston Tectonics. The pump requires the operator to pump water using a manual hand pump. Acme claims that the pump is quite efficient and that a stroke of the pump handle traversing a distance of 0.9 meters using 59 joules of energy will pump (dispense) 100 mL of water. If the resevour is 44 meters deep, at Acme's stated specification, what would the efficiency of Acme's pump have to be? Enter efficiency as a decimal to three places.

3-

Consider the following information concerning customer locations. Our company is interested in finding a 'best case' facilities location based on the following data. What is the mean x coordinate from the recommended (x,y) coordinate system?

	X	Y	Volume
Cust 1	4	5	300
Cust 2	8	10	400
Cust 3	12	12	500
Cust 4	8	15	200
Cust 5	7	7	300
Cust 6	5	3	500

4-

In this situation we have variation in both demand and leadtime.

Acme gravel wishes to have enough gravel on hand to account for variability in demand and leatime.

If average demand is 776 tons of gravel per day with standard deviation of 5 tons, and average lead time is 6 days with standard deviation of 4 days, at what point (in tons of gravel remaining) should Acme reorder gravel? (Assume a 95% service rate)