Professor’s Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of $87,000 at age 65, the firm will pay the retiring professor $775 a month until death.

Steffi is reviewing various licenses and their uses. match the licenses to their respective uses.

Match the terms with the appropriate definition. 1. work done for pay job 2. series of related jobs based on knowledge, training, tasks performed, interests, and experience career 3. buying or selling products and services using the internet mediation 4. wage amount after deductions are withheld net wage 5. a way a person chooses to live his or her life e-commerce 6. the people who are both able and willing to work technology 7. unequal treatment of others based on a bias concerning a person’s characteristics such as race, religion, gender, or age discrimination 8. the act of sharing information lifestyle 9. the use of a third party to make suggestions workforce 10. knowledge and tools used to perform tasks communication

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?