Business solutions's second-quarter 2018 fixed budget performance report for its computer furniture operations follows. the $174,560 budgeted expenses include $115,520 in variable expenses for desks and $19,040 in variable expenses for chairs, as well as $40,000 fixed expenses. the actual expenses include $41,800 fixed expenses. list fixed and variable expenses separately.

Under t, the point (0,2) gets mapped to (3,0). t-1 (x, y) →

Dominic is the founder of an innovative "impromptu catering" business that provides elegant, healthy party food and decorations on less than 24 hours' notice. the company has grown by over 150 percent in the past year. dominic credits some of the company's success to studying the strategies of prominent social entrepreneurs, such as wikipedia's jimmy wales. what can dominic do to exemplify the social entrepreneurship model?

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.