Business Solutions sells upscale modular desk units and office chairs in the ratio of 3:2 (desk unit:chair). The selling prices are $1,280 per desk unit and $530 per chair. The variable costs are $780 per desk unit and $280 per chair. Fixed costs are $150,000. Required: 1. Compute the selling price per composite unit. 2. Compute the variable costs per composite unit. 3. Compute the break-even point in composite units. 4. Compute the number of units of each product that would be sold at the break-even point.

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.