A firm with the production function Q = F(K, L) is producing an output level Q* at minimum cost in the long run. When K is fixed the firm's short-run marginal cost will be as the firm's short-run marginal cost when L is fixed because the extra output obtained from the last dollar spent on labor the extra output obtained from the last dollar spent on capital.

Laval produces lamps and home lighting fixtures. its most popular product is a brushed aluminum desk lamp. this lamp is made from components shaped in the fabricating department and assembled in the assembly department. information related to the 22,000 desk lamps produced annually follows. direct materials $280,000direct labor fabricating department (8,000 dlh × $24 per dlh) $192,000assembly department (16,600 dlh × $26 per dlh) $431,600machine hours fabricating department $15,200mhassembly department $20,850mhexpected overhead cost and related data for the two production departments follow. fabricating assemblydirect labor hours 150,000dlh 295,000dlhmachine hours 161,000mh 128,000mhoverhead cost $400,000 430,000required1. determine the plantwide overhead rate for laval using direct labor hours as a base.2. determine the total manufacturing cost per unit for the aluminum desk lamp using the plantwide overhead rate.3. compute departmental overhead rates based on machine hours in the fabricating department and direct labor hours in the assembly department.4. use departmental overhead rates from requirement 3 to determine the total manufacturing cost per unit for the aluminum desk lamps.

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You are bearish on telecom and decide to sell short 100 shares at the current market price of $50 per share. a. how much in cash or securities must you put into your brokerage account if the broker’s initial margin requirement is 50% of the value of the short position? b. how high can the price of the stock go before you get a margin call if the maintenance margin is 30% of the value of the short position? (input the amount as a positive value. round your answer to 2 decimal places.)