(algorithmic) consider the following linear program: min 2 a + 2 b
s. t.
a + 3 b ≤ 12
3 a + b ≥ 13
a - b = 3 a,
b ≥ 0 choose the correct graph that shows the feasible region.
what are the extreme points of the feasible region?
there are two extreme points: and
find the optimal solution.
the optimal solution is a = , b =

2predicting population growth worksheet answer key 3. how do fertility rates compare to overall population rates of the world

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Emmanuel added 888 links per minute to his chain mail. allesia started 202020 minutes after emmanuel and added 131313 links per minute to her chain mail. how long had emmanuel worked when allesia caught up to him, and how many links had he added?