Consider the follow ing LP model: max z = 50x, +100x, X +x, 5 300 | 2x, +x, 5 400 St. X, S 250 X, X, 20 (1) Solve the problem by the simp lex method. (2) Find the dual price of each constra int.

Suppose that the local newspaper reported that Millerville and Big Lake both had 50 murders last year. However, 5 years ago, Millersville had 42 murders and Big Lake had just 29. Calculate the absolute change and the perchance for each city over the five years. Could the newspaper make the claim that crime had gone up by the same amount in each city? Explain

A 30-second commercial during Super Bowl XXXVII in 2003 cost advertisers 2.2 million. For the first Super Bowl in 1967, an advertiser could have purchased approximately 26.19 minutes of advertising time for the same amount of money. (a) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 2003 Super Bowl. cost= dollars/second. (round to nearest cent and do not enter commas) (b) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 1967 Super Bowl. cost = dollars/second. (round to nearest cent and do not enter commas) (c) How many times more expensive was Super Bowl advertising in 2003 than in 1967? times more expensive (round to nearest whole number)

A closed box is to be built and it's volume must be 30 cubic feet. If the base of the box is a rectangle that is twice as long as it is wide, write the surface area function for this box in terms of the width of its base.