Let the demand and supply functions for a commodity be qd = d(p, yo) (dp < 0; dyo > 0) qs = s(p, t.) (sp > 0; st. < 0) where yo is income, to is the tax on the commodity, and both are exogenous. (a) impose the equilibrium condition (qd = qs) to express the market equilibrium in a single general function f. (b) check whether the sufficient condition to apply the implicit-function theorem is satisfied. (c) find @p*/@yo, and @p*/@to. sign each of them, and explain what the sign on each of them implies economically. (d) given the fact that in equilibrium qs = qd = q*, use the chain rule to find aq* /ay, and əq* /at.. sign each of them, and explain the economic implications of each of them.

James albemarle created a trust fund at the beginning of 2016. the income from this fund will go to his son edward. when edward reaches the age of 25, the principal of the fund will be conveyed to united charities of cleveland. mr. albemarle specified that 75 percent of trustee fees are to be paid from principal. terry jones, cpa, is the trustee. james albemarle transferred cash of $500,000, stocks worth $400,000, and rental property valued at $250,000 to the trustee of this fund. immediately invested cash of $360,000 in bonds issued by the u.s. government. commissions of $7,900 are paid on this transaction. incurred permanent repairs of $9,000 so that the property can be rented. payment is made immediately. received dividends of $8,000. of this amount, $3,000 had been declared prior to the creation of the trust fund. paid insurance expense of $4,000 on the rental property. received rental income of $10,000. paid $8,000 from the trust for trustee services rendered. conveyed cash of $7,000 to edward albemarle.

Ardmore farm and seed has an inventory dilemma. they have been selling a brand of very popular insect spray for the past year. they have never really analyzed the costs incurred from ordering and holding the inventory and currently fave a large stock of the insecticide in the warehouse. they estimate that it costs $25 to place an order, and it costs $0.25 per gallon to hold the spray. the annual requirements total 80,000 gallons for a 365 day year.a. assuming that 10,000 gallons are ordered each time an order is placed, estimate the annual inventory costs.b. calculate the eoq.c. given the eoq calculated in part b., how many orders should be placed and what is the average inventory balance? d. if it takes seven days to receive an order from suppliers, at what inventory level should ardmore place another order?

Schonhardt corporation's relevant range of activity is 2,500 units to 5,500 units. when it produces and sells 4,000 units, its average costs per unit are as follows: averagecost per unitdirect materials $ 7.60direct labor $ 2.90variable manufacturing overhead $ 1.65fixed manufacturing overhead $ 2.90fixed selling expense $ 0.95fixed administrative expense $ 0.65sales commissions $ 0.75variable administrative expense $ 0.65if 4,500 units are produced, the total amount of fixed manufacturing cost incurred is closest to: multiple choicea $16,800b $11,400c $11,600d $15,400