Autocorrelation functions of covariance stationary series. While interviewing at a top investment bank, your interviewer is im- pressed by the fact that you have taken, a course on forecasting. She decides to test your knowledge of the autocovariance structure of covari- ance stationary series and lists five autocovariance functions:
a. γ(t, r) = α
b, γ(t, r) =e^-ar
d. γ(t, τ)=ατ ,
where α is a positive constant, which autocovariance function(s) are consistent with covariance stationarity, and which are not? Why?

Panera bread is a chain of cafes serving sandwiches, soups, and freshly baked breads. the company began in 1981 with stores primarily located along the east coast of the united states. since then, the firm has expanded to over 1,300 locations throughout the united states and canada. the firm has strong earnings and has been designated by business week as a "significant growth company." panera bread executives are considering the idea of expanding globally by opening cafes in asia through a franchising strategy. which of the following, if true, supports the argument that panera bread should expand into asia through franchising? a: the panera bread menu changes rapidly, and each cafe's artisan bread bakers receive regular training on new recipes. b: panera bread executives want fast access to the asian market without a significant investment of capital. c: panera bread executives want to test the asian market with a short-term commitment that allows them to make quick profits. d: the panera bread mission is to make excellent bread available to customers around the world.

Chuck, a single taxpayer, earns $80,750 in taxable income and $30,750 in interest from an investment in city of heflin bonds. (use the u.s. tax rate schedule.) (do not round intermediate calculations. round your answers to 2 decimal places.)

Thomas kratzer is the purchasing manager for the headquarters of a large insurance company chain with a central inventory operation. thomas's fastest-moving inventory item has a demand of 6,000 units per year. the cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. the average ordering cost is $30 per order. it takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (this is a corporate operation, and the are 250 working days per year.)a) what is the eoq? b) what is the average inventory if the eoq is used? c) what is the optimal number of orders per year? d) what is the optimal number of days in between any two orders? e) what is the annual cost of ordering and holding inventory? f) what is the total annual inventory cost, including cost of the 6,000 units?