Step-by-step explanation:
Let Xb be the no of braclets made
Let Xn be the no of necklaces made
Max Z=250Xb + 500Xn (Objective Function)
Subject to
2Xb + 5Xn <= 625 (rubies)
3Xb + 7 Xn <= 800 ( diamonds)
4Xb + 3 Xn <= 700 (Emeralds)
Xb>=0 (non-negativity)
Xn >= 0 (non negativity
Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:
8x-20y = -24
8x +3y = 68
------------
0 -23y = -92
Now divide both sides by -23:
y = 4
Find x by plugging y=4 into either equation:
8x +3(4) = 68
8x = 68 - 12
8x = 56
x = 7
So the answer is ordered pair is (7,4)
The formula to find circumference is 2(3.14)r
For this problem, first you take half of the diameter to get radius. Then, putting this into the formula, you get 2(3.14)(6) = 37.699
The answer is option c- 68°
