Look at the table marginal analysis of sweatshirt production ii. the profit at the optimal quantity of sweatshirts is:

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.

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.)

Warner inc. sells a high-speed retrieval system for mining information. it provides the following information for the year. budgeted actual overhead cost $965,700 $905,000 machine hours 58,570 49,200 direct labor hours 107,300 104,200 overhead is applied on the basis of direct labor hours. compute the predetermined overhead rate. predetermined overhead rate $ per direct labor hour link to text determine the amount of overhead applied for the year. the amount of overhead applied $