Halo Company is a calendar-year U. S. firm with operations in several countries. At January 1, 2021, the company had issued 40,500 executive stock options permitting executives to buy 40,500 shares of stock for $27. The vesting schedule is 20% the first year, 30% the second year, and 50% the third year (graded-vesting). The fair value of the options is estimated as follows: Vesting Date Amount Vesting Fair Value per Option Dec. 31, 2021 20 % $ 9 Dec. 31, 2022 30 % $ 10 Dec. 31, 2023 50 % $ 14 What is the compensation expense related to the options to be recorded in 2022

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?

Arnold rossiter is a 40-year-old employee of the barrington company who will retire at age 60 and expects to live to age 75. the firm has promised a retirement income of $20,000 at the end of each year following retirement until death. the firm's pension fund is expected to earn 7 percent annually on its assets and the firm uses 7% to discount pension benefits. what is barrington's annual pension contribution to the nearest dollar for mr. rossiter? (assume certainty and end-of-year cash flows.)

Labor unions have used which of the following to win passage of favorable laws such as shorter work weeks and the minimum wage? a. strikes b. collective bargaining c. lobbying d. lockouts