Why must real options have positive value? (select all the choices that apply.)
a. real options must have positive value because they are only exercised when doing so would increase the value of the investment.
b. if exercising the real option would reduce value, managers can allow the option to go unexercised.
c. real options must have positive value because they can always be sold to recover the initial investment.
d. having the real option but not the obligation to act is valuable.

Aproduction order quantity problem has a daily demand rate = 10 and a daily production rate = 50. the production order quantity for this problem is approximately 612 units. what is the average inventory for this problem?

Yael decides that she no longer enjoys her job, and she quits to open a gluten-free, dairy-free kosher bakery. she pays a monthly rent for her store of $2,000. her labor costs for one month are $4,500, and she spends $6,000 a month on nut flours, sugar, and other supplies. yael was earning $2,500 a month working as a bank teller. these are her only costs. her monthly revenue is $14,000. which of the following statements about yael’s costs and profit are correct? correct answer(s) an accountant would say she is earning a monthly profit of $1,500. her implicit costs are $2,500 a month. an economist would tell her that she is experiencing a loss. her total costs are $12,500 a month. her explicit costs include the labor, rent, and supplies for her store. her economic profit is $1,500 a month.

U.s. internet advertising revenue grew at the rate of r(t) = 0.82t + 1.14 (0 ≤ t ≤ 4) billion dollars/year between 2002 (t = 0) and 2006 (t = 4). the advertising revenue in 2002 was $5.9 billion.† (a) find an expression f(t) giving the advertising revenue in year t.