Suffolk Manufacturing produces three types of paneling from Pine and Spruce. The types of paneling are Western (X1), Old English (X2), and Colonial (X3). Each sheet must be cut and pressed. The resource requirements are given in the following linear programming formulation. a. What is the marginal value of an additional pound of spruce? Over what range is this value valid?
b. What is the marginal value of an additional hour of cutting? Over what range is this value valid?

Maximize Z = 4X1 + 10X2 + 8X3 (profit, $)
ST 5X1 + 4X2 + 4X3\leq 200 (pine, lb)
2X1 + 5X2 + 2X3\leq 160 (spruce, lb)
1X1 + 1X2 + 2X3\leq 50 (cutting, hr)
2X1 + 4X2 + 2X3\leq 80 (pressing, hr)
X1 + X2 + X3\geq 0

8. agreement and disagreement among economists suppose that bob, an economist from a university in arizona, and cho, an economist from a public television program, are arguing over saving incentives. the following dialogue shows an excerpt from their debate: cho: i think it's safe to say that, in general, the savings rate of households in today's economy is much lower than it really needs to be to sustain an improvement in living standards. bob: i think a switch from the income tax to a consumption tax would bring growth in living standards. cho: you really think households would change their saving behavior enough in response to this to make a difference? because i don't. the disagreement between these economists is most likely due to . despite their differences, with which proposition are two economists chosen at random most likely to agree? rent ceilings reduce the quantity and quality of available housing. immigrants receive more in government benefits than they contribute in taxes. having a single income tax rate would improve economic performance.

According to herman, one of the differences of managing a nonprofit versus a for-profit corporation is

Conor is 21 years old and just started working after college. he has opened a retirement account that pays 2.5% interest compounded monthly. he plans on making monthly deposits of $200. how much will he have in the account when he reaches 591 years of age?