The probability that a randomly selected individual in a country earns more than $75,000 per year is 7.5%. The probability that a randomly selected individual in the country earns more than $75,000 per year, given that the individual has earned a bachelor's degree, is 21.5%. Are the events "earn more than $75,000 per year" and "earned a bachelor's degree" independent?

Cash flow is often a problem for small businesses. how can an entrepreneur increase cash flow? a) locate lower-priced suppliers. b) forego sending in estimated tax payments to the irs c) shorten the terms on a bank loan to pay it off more quickly d) sell more low-margin items.

Magic realm, inc., has developed a new fantasy board game. the company sold 15,000 games last year at a selling price of $20 per game. fixed expenses associated with the game total $182,000 per year, and variable expenses are $6 per game. production of the game is entrusted to a printing contractor. variable expenses consist mostly of payments to this contractor.required: 1-a. prepare a contribution format income statement for the game last year.1-b. compute the degree of operating leverage.2. management is confident that the company can sell 58,880 games next year (an increase of 12,880 games, or 28%, over last year). given this assumption: a. what is the expected percentage increase in net operating income for next year? b. what is the expected amount of net operating income for next year? (do not prepare an income statement; use the degree of operating leverage to compute your answer.)

Direct materials (4.2 x $15) $ 63direct labor ($12 x 17.5) $210manufacturing overhead ($2.40 x 17.5) $42total job cost $ 315dougan, inc. allocates overhead based on a predetermined overhead rate of $2.40 per direct labor hour. employees are paid $12.00 per hour. job 24 requires 4.2 pounds of direct materials at a cost of $15.00 per pound. employees worked a total of 17.5 hours to complete the job. actual manufacturing overhead costs totaled $80,000 for the year for the company. how much is the cost of job 24?