For the week ended February 20, year 8, Epsilon Co. paid gross wages of $15,000, from which federal income taxes of $1,500 were withheld. All wages paid were subject to FICA tax rates of 7% each for employer and employee. Epsilon must also pay the 2% FUTA tax employers are subject to. Epsilon makes all payroll-related disbursements from a special payroll checking account. What amount should Epsilon have deposited in the payroll checking account to cover payroll and related payroll taxes for the week ended February 20, year 8

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.