Suppose that the production function of the economy is: Y= AK^0.5L^0.5
Consider the following hypothetical scenario regarding an expansion of the labor supply through immigration. An economy is initially in equilibrium with a capital stock and an initial labor supply L1. Suppose that a wave of immigration increases the size of the labor supply to L2= 4.L1.

Required:
Find the ratio of output after the immigration wave to output before the immigration wave Y2/Y1.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Which statement best describes the variety of workplaces commonly found in the health science career cluster? a. workplaces in this cluster include healthcare facilities such as hospitals, physician offices, and clinics. b. workplaces in this cluster include healthcare facilities, laboratories, and other environments such as offices or homes. c . workplaces in this cluster include nonprofit hospitals, government-run clinics, and private physicians' offices. d. workplaces in this cluster include private and nonprofit hospitals and clinics, and dentists' offices.

The state in which the manufacturing company you work for is located regulates the presence of a particular substance in the environment to concentrations ≤ x. recently-released, reliable research endorsed by the responsible federal agency conclusively demonstrates that the substance poses no risks at concentrations up to 5x. your company has asked you to consider designing a new process with a waste discharge stream containing up to 2x of the substance. based on the stated conditions, describe this possible.