Suppose a nonlinear price discriminating monopolist faces an inverse demand​ curve: Upper P equals 120 minus Upper Q​, and can set three prices depending on the quantity a consumer purchases. The​ firm's profit​ is: pi equals p 1 Upper Q 1 plus p 2 (Upper Q 2 minus Upper Q 1 )plus p 3 (Upper Q 3 minus Upper Q 2 )minus m Upper Q 3​, where p 1 is the high price charged on the first units Upper Q 1 ​(first block) and p 2 is a lower price charged on the next (Upper Q 2 minus Upper Q 1 )units and p 3 is the lowest price charged on the (Upper Q 3 minus Upper Q 2 )remaining units. Upper Q 3 is the total number of units actually​ purchased, and m ​= ​$50 is the​ firm's constant marginal and average cost. Using​ calculus, determine the​ profit-maximizing values for p 1​, p 2​, and p 3​, and the​ firm's profits.

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

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Type of deposit reserve requirementcheckable deposits $7.8 - 48.3 million 3%over $48.3 million 10noncheckable personal savings and time deposits 0refer to the accompanying table. if a bank has $60 million in savings deposits and $40 million in checkable deposits, then its required reserves are$1.2 million.