In statistical process control (spc), if a sample of items is taken and the mean of the sample is outside the control limits, the process is:
a. out of control and the cause should be established
b. producing high quality products
c. in control and capable of producing within the established control limits
d. in control, there is no need for concern within the established control limits with only natural causes of variation

The market for corn in country a is highly competitive. at the current market price of $5/bushel there is a shortage of 100,000 bushels of corn in this country. media reports claim that the price of corn will rise drastically in the near future. according to these reports, the neighboring country b had witnessed a similar situation recently. at the same price, the shortage in country b was also 100,000 bushels and eventually the equilibrium price in b went up to $10/bushel. both countries are known to have equal number of corn producers and the market supply of corn is identical at all prices. this, combined with the fact that consumers in the two countries also have similar tastes and preferences, led the media to conclude that the price of corn in country a would soon be as high as $10/bushel. the new equilibrium price turns out to be below $10/bushel, what inferences can be drawn?

Bonds often pay a coupon twice a year. for the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. using the values of cash flows and number of periods, the valuation model is adjusted accordingly. assume that a $1,000,000 par value, semiannual coupon us treasury note with three years to maturity has a coupon rate of 3%. the yield to maturity (ytm) of the bond is 7.70%. using this information and ignoring the other costs involved, calculate the value of the treasury note:

1. consider a two-firm industry. firm 1 (the incumbent) chooses a level of output qı. firm 2 (the potential entrant) observes qı and then chooses its level of output q2. the demand for the product is p 100 q, where q is the total output sold by the two firms which equals qi +q2. assume that the marginal cost of each firm is zero. a) find the subgame perfect equilibrium levels of qi and q2 keeping in mind that firm 1 chooses qi first and firm 2 observes qi and chooses its q2. find the profits of the two firms-n1 and t2- in the subgame perfect equilibrium. how do these numbers differ from the cournot equilibrium? b) for what level of qi would firm 2 be deterred from entering? would a rational firm 1 have an incentive to choose this level of qi? which entry condition does this market have: blockaded, deterred, or accommodated? now suppose that firm 2 has to incur a fixed cost of entry, f> 0. c) for what values of f will entry be blockaded? d) find out the entry deterring level of q, denoted by q1', a expression for firm l's profit, when entry is deterred, as a function of f. for what values of f would firm 1 use an entry deterring strategy?