Apple Valley Orchards, Inc. (AVO) make apple products. A certain apple pie requires the following: Direct materials standard 3 pounds at $7.25 per pound Direct labor standard 0.5 hours at $14.00 per hour During September, AVO purchased and used 3,750 pounds of direct materials costing $26,250 to produce and sell 1,200 pies. Direct labor totaled 560 direct labor hours for $7,980. Required: a. Compute the direct materials variances for September. b. Compute the direct manufacturing labor variances for September.

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.