An electronics firm has two factories in Folsom, CA andFallon, NV that manufacture two types of laptops, a basic laptop and a power laptop. Each day the Folsom factory produces 500 basic laptopsand 300 power laptops at a cost of $18,000. Each day the Fallon factory produces 300 of each type of laptopat a cost of $15,000. An order is received for 25,000 basic laptopsand 21,000 power laptops. For how many days should each factory operate to fill the order with minimum cost

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.

Abond purchased for $950 was sold for $980 after one year. the interest received during the year is $25. the bond's yield is:

Clooney corp. establishes a petty cash fund for $225 and issues a credit card to its office manager. by the end of the month, employees made one expenditure from the petty cash fund (entertainment, $20) and three expenditures with the credit card (postage, $59; delivery, $84; supplies expense, $49).record all employee expenditures, and record the entry to replenish the petty cash fund. the credit card balance will be paid later. (if no entry is required for a transaction/event, select "no journal entry required" in the first account record expenditures from credit card and the petty cash fund.