4. The labor force (sum of employed and unemployed workers) is xed at 100 million. Each monthj 1% of the workers who were employed at the beginning of the month lose their jobs, and 19% of the workers who were unemployed at the beginning of the month nd new jobs. (a) In January unemployment rate is 5%. Solve for Unemployment rate in February: Unemployment rate in March: (b) In April an adverse productivity shock raises job loss rate to 3% of those em ployed. The job loss rate returns to 1% in May, while the job nding rate remains unchanged at 19% throughout. Solve for Unemployment rate in April: Unemployment rate in May: Unemployment rate in June: Unemployment rate in July