Consider the following optimization problem:
min: x1+x2
subject to -4x1+ 4x2< =1
-8x1 +10x2> =15
x1, x2> =0
a. what is the optimal solution to the problem? round your answers to two decimal places, if necessary.
b. now suppose that x1 and x2 must be integers. what is the optimal solution?
c. what general principle of integer programming is illustrated by this question?

Why are the four primary service outputs of spatial convenience, lot size, waiting time, and product variety important to logistics management? provide examples of competing firms that differ in the level of each service output provided to customers?

The state troopers in one state have a motto, “nine you’re fine; ten you’re mine,” which is the standard that they use for pulling over speeders on the state highways. in other words, if the posted speed limit is 55 mph, drivers can drive at a rate up to 64 mph without fear of getting a ticket. which of the following best describes the ethical culture in the state? a. the troopers are following a standard of positive law. b. the troopers are following a normative standard. c. the troopers are following a headline test. d. the troopers are following the blanchard/peale standard.

The hypothetical country of eurica is experiencing severe competition to its domestic auto industry in the form of foreign imports. many jobs are threatened. eurica places a 25 percent tariff on the price of imported cars. this type of tariff is known as a(n) tariff.