Let $s$ be the set of complex numbers of the form $a + bi,$ where $a$ and $b$ are integers. we say that $z \in s$ is a unit if there exists a $w \in s$ such that $zw = 1.$ find the number of units in $s.$

The management at a pesticide manufacturing company has observed a decline in quality measures. the managers ask robin, the firm's hr manager, to investigate whether training might solve the problem. robin conducts needs assessment and recommends a training plan. which of the following conditions would most likely have been an observation during robin's person analysis?

Atlas manufacturing produces a unique valve, and has the capacity to produce 50,000 valves annually. currently atlas produces 40,000 valves and is thinking about increasing production to 45,000 valves next year. what is the most likely behavior of total manufacturing costs and unit manufacturing costs given this change? a. total manufacturing costs will increase and unit manufacturing costs will also increase. b. total manufacturing costs will stay the same and unit manufacturing costs will stay the same. c. total manufacturing costs will increase and unit manufacturing costs will decrease. d. total manufacturing costs will increase and unit manufacturing costs will stay the same.

Why is following an unrelated diversification strategy especially advantageous in an emerging economy? a. it allows the conglomerate to overcome institutional weaknesses in emerging economies. b. it allows the conglomerate to form a monopoly in emerging economies. c. it allows the conglomerate to use well-defined legal systems in emerging economies. d. it allows the conglomerate to take advantage of strong capital markets in emerging economies.