On january 1, 2018, d corp. granted an employee an option to purchase 6,500 shares of d's $4 par common stock at $21 per share. the options became exercisable on december 31, 2019, after the employee completed two years of service. the option was exercised on january 10, 2020. the market prices of d's stock were as follows: january 1, 2018, $36; december 31, 2019, $58; and january 10, 2020, $44. an option pricing model estimated the value of the options at $9 each on the grant date. for 2018, d should recognize compensation expense of:

Total marketing effort is a term used to describe the critical decision factors that affect demand: price, advertising, distribution, and product quality. define the variable x to represent total marketing effort. a typical model that is used to predict demand as a function of total marketing effort is based on the power function: d = axb suppose that a is a positive number. different model forms result from varying the constant b. sketch the graphs of this model for b = 0, b = 1, 0< b< 1, b< 0, and b> 1. (we encourage you to use excel to do this.) what does each model tell you about the relationship between demand and marketing effort? what assumptions are implied? are they reasonable? how would you go about selecting the appropriate model?