Currently, the most valued penny is the 1909 S VDB penny. It was minted in San Francisco and only 484,000 were minted with the initials on the back. In 2015, the S VDB penny in uncirculated condition is worth $3,200. When will it be worth $15,000?

Employees of dti, inc. worked 1,600 direct labor hours in january and 1,000 direct labor hours in february. dti expects to use 18,000 direct labor hours during the year, and expects to incur $22,500 of worker’s compensation insurance cost for the year. the cash payment for this cost will be paid in april. how much insurance premium should be allocated to products made in january and february?

U. s. internet advertising revenue grew at the rate of r(t) = 0.82t + 1.14 (0 ≤ t ≤ 4) billion dollars/year between 2002 (t = 0) and 2006 (t = 4). the advertising revenue in 2002 was $5.9 billion.† (a) find an expression f(t) giving the advertising revenue in year t.

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.