Initially, three rms A, B, and C share the market for a certain commodity. Firm A has 20% of the market, Firm B has 60%, and C has 20%. In the course of the next year, the following changes occur: A keeps 85% of its costumers, while losing 5% to B and 10% to C. B keeps 55% of its customers, while losing 10% to A and 35% to C. C keeps 85% of its customers, while losing 10% to A and 5% to B. Write the transition matrix and using matrix multiplication nd the market share (how many customers) of each company after one year.

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.