One study found that the price elasticity of demand for soda is minus−0.78, while the price elasticity of demand for coca-cola is minus−1.22. source: kelly d. brownell and thomas r. frieden,"ounces of preventionlong dash—the public policy case for taxes on sugared beverages," new england journal of medicine, april 30, 2009, pp. 1805minus−1808. the price elasticity ofcoca-cola is (interpret the absolute value of theseelasticitiies, i. e., ignore the minus sign):

Big trail running company has started to produce running apparel in addition to the trail running shoes that they have manufactured for years. they feel that a departmental overhead rate would best reflect their overall manufacturing overhead usage. based on research the following information was gathered for the upcoming year: machining department finishing department estimated manufacturing overhead by department $ 600 comma 000 $ 400 comma 000 trail running shoes 440 comma 000 machine hours 11 comma 000 direct labor hours running apparel 60 comma 000 machine hours 39 comma 000 direct labor hours manufacturing overhead is driven by machine hours for the machining department and direct labor hours for the finishing department. at the end of the year, the following information was gathered related to the production of the trail running shoes and running apparel: machining department finishing department trail running shoes 442 comma 000 hours 10 comma 500 hours running apparel 57 comma 000 hours 40 comma 000 hours how much manufacturing overhead will be allocated to the trail running shoes

Investors who put their own money into a startup are known as a. mannequins b. obligators c. angels d. borrowers

Given the production function q=96(k^0.3)(l^0.7), find the mpk and mpl functions. is mpk a function of k alone, or of both k and l? what about mpl?