Karim Corp. requires a minimum $8,000 cash balance. Loans taken to meet this requirement cost 1% interest per month (paid monthly). Any excess cash is used to repay loans at month-end. The cash balance on July 1 is $8,400, and the company has no outstanding loans. Forecasted cash receipts (other than for loans received) and forecasted cash payments (other than for loan or interest payments) follow. July August September Cash receipts$20,000 $26,000 $40,000 Cash payments 28,000 30,000 22,000

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Which of the following is an example of a production quota? a. the government sets an upper limit on the quantity that each dairy farmer can produce. b. the government sets a price floor in the market for dairy products. c. the government sets a lower limit on the quantity that each dairy farmer can produce. d. the government guarantees to buy a specified quantity of dairy products from farmers.

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.