The profit p, in dollars, of selling x widgets and y gadgets is given by the function p(x, y) = 7x + 3y. which corner point of the shaded region will maximize the profit?

a. (10, 30)
b. (15, 25)
c. (0, 35)
d. (20, 15)

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?

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

The following accounts are denominated in pesos as of december 31, 2015. for reporting purposes, these amounts need to be stated in u.s. dollars. for each balance, indicate the exchange rate that would be used if a translation is made under the current rate method. then, again for each account, provide the exchange rate that would be necessary if a remeasurement is being made using the temporal method. the company was started in 2000. the buildings were acquired in 2002 and the patents in 2003. (round your answers to 2 decimal places.) exchange rates for 1 peso are as follows: 2000 1 peso = $ 0.28 2002 1 = 0.26 2003 1 = 0.25 january 1, 2015 1 = 0.24 april 1, 2015 1 = 0.23 july 1, 2015 1 = 0.22 october 1, 2015 1 = 0.20 december 31, 2015 1 = 0.16 average for 2015 1 = 0.19