A rancher wants to fence an area of 1,500 square yards in a rectangular field that borders a straight river, and then divide it in half with a fence perpendicular to the river. He needs no fence along the river. The dividing fence costs half as much as the surrounding fence. How can he do this so that the cost of the fence is minimized

Christopher kim, cfa, is a banker with batts brothers, an investment banking firm. kim follows the energy industry and has frequent contact with industry executives. kim is contacted by the ceo of a large oil and gas corporation who wants batts brothers to underwrite a secondary offering of the company's stock. the ceo offers kim the opportunity to fly on his private jet to his ranch in texas for an exotic game hunting expedition if kim's firm can complete the underwriting within 90 days. according to cfa institute standards of conduct, kim: a) may accept the offer as long as he discloses the offer to batts brothers. b) may not accept the offer because it is considered lavish entertainment. c) must obtain written consent from batts brothers before accepting the offer.

M. cotteleer electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. one of the components has an annual demand of 235 units, and this is constant throughout the year. carrying cost is estimated to be $1.25 per unit per year, and the ordering (setup) cost is $21 per order. a) to minimize cost, how many units should be ordered each time an order is placed? b) how many orders per year are needed with the optimal policy? c) what is the average inventory if costs are minimized? d) suppose that the ordering cost is not $21, and cotteleer has been ordering 125 units each time an order is placed. for this order policy (of q = 125) to be optimal, determine what the ordering cost would have to be.

David consumes two things: gasoline (q 1) and bread (q 2). david's utility function is u(q 1, q 2)equals70q 1 superscript 0.5 baseline q 2 superscript 0.5. let the price of gasoline be p 1, the price of bread be p 2, and income be y. derive david's demand curve for gasoline. david's demand for gasoline is q 1equals nothing. (properly format your expression using the tools in the palette. hover over tools to see keyboard shortcuts. e. g., a subscript can be created with the _ character.)