A reservoir behind a dam, like that sketched below receives inflow measured at 450 cfs, and the outflow is controlled to release only 100 cfs to avoid excessive scour downstream. At its current depth the reservoir has a surface area of 125 acres. It is raining at a rate of 1 inch per hour. At what rate is the reservoir depth rising (in inches per hour)

Baldwin has negotiated a new labor contract for the next round that will affect the cost for their product bold. labor costs will go from $7.91 to $8.41 per unit. in addition, their material costs have fallen from $13.66 to $12.66. assume all period costs as reported on baldwin's income statement remain the same. if baldwin were to pass on half the new costs of labor and half the savings in materials to customers by adjusting the price of their product, how many units of product bold would need to be sold next round to break even on the product?

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a.no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative.b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child.c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative.d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.

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.