A manufacturing company has a standard quantity of direct materials of 7 pounds per unit at a standard price of $2.20 per pound. In April the actual material price was $2.40 per pound and the company produced 5, 500 units. If the company experienced a favorable material quantity variance of $6, 600 during the month. how much was the actual quantity of material used? A. 35, 500 pounds
B. 32, 542 pounds
C. 38, 500 pounds
D. 41, 500 pounds

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.

Kendra knight took part in a friendly game of touch football. she had played before and was familiar with football. michael jewett was on her team. in the course of play, michael bumped into kendra and knocked her to the ground. he stepped on her hand, causing injury to a little finger that later required its amputation. she sued michael for damages. he defended on the ground that she had assumed the risk. kendra claimed that assumption of risk could not be raised as a defense because the state legislature had adopted the standard of comparative negligence. what happens if contributory negligence applies? what happens if the defense of comparative negligence applies?

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