Proofread the sentence below. Look for up to three errors in grammar, punctuation, capitalization, the use of numbers, and business writing style. Rewrite the sentence, making corrections where necessary. If the sentence is correct as written, write "correct." The human resources manager made a decision to hire 3 administrative assistants to finish the important essentials.

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

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

In william rathje's garbology project that focused on household waste, front door interviews found 15 percent of respondents saying that they consumed beer. the trash discard from the same area showed what percentage of household's consuming beer