The Cobb-Douglas function models the quantity q of a commodity produced as a function of the number of the workers w and the amount of capital invested c: q= 100w^0.1 C^0.9

Labor costs are $15 per worker, capital costs are $27 per unit, and there is a fixed budget of $3000. Set up (BUT DO NOT SOLVE!) the system of equations that would allow you to find the optimal values of w and c in order to maximize the quantity of a commodity produced.

You were told that the amount of time lapsed between consecutive trades on the new york stock exchange followed a normal distribution with a mean of 15 seconds. you were also told that the probability that the time lapsed between two consecutive trades to fall between 16 to 17 seconds was 13%. the probability that the time lapsed between two consecutive trades would fall below 13 seconds was 7%. what is the probability that the time lapsed between two consecutive trades will be between 14 and 15 seconds?