If the pre-tax cost function for John's Shoe Repair is C(q)q, and it faces a specific tax of $, what is the profit-maximizing condition if the market price is p? Can you solve for a single, profit-maximizing q in terms of p? The profit-maximizing quantity in terms of p is q nothing. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E. g., a fraction can be created with the / character.)

On the first day of the fiscal year, a company issues an $7,500,000, 8%, five-year bond that pays semiannual interest of $300,000 ($7,500,000 × 8% × ½), receiving cash of $7,740,000. journalize the first interest payment and the amortization of the related bond premium. round to the nearest dollar. if an amount box does not require an entry, leave it blank.

Juan's investment portfolio was valued at $125,640 at the beginning of the year. during the year, juan received $603 in interest income and $298 in dividend income. juan also sold shares of stock and realized $1,459 in capital gains. juan's portfolio is valued at $142,608 at the end of the year. all income and realized gains were reinvested. no funds were contributed or withdrawn during the year. what is the amount of income juan must declare this year for income tax purposes?

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.