1.3/13(if you mean jacks queens and kings)
2.1/52
3.1/2
4.1/13
5.1/4
Answer:
c. Minimize P,d1+; 5x1 + 3x2 + d1+ = 150
Step-by-step explanation:
5x1 + 3x2 = 150. To convert an equality, we simply add an “artificial” variable (d1) to the equation: 5X1 + 3X2 + d1 = 150 An artificial variable is a variable that has no physical meaning in terms of a real-world LP problem. It simply allows us to create a basic feasible solution to start the simplex algorithm. An artificial variable is not allowed to appear in the final solution to the problem. Here in this problem to avoid over utilization, we introduce this artifical variable.
I<span>s that cos (2pi/3) or cos^2 (pi/3) ????</span><span>
1/2 of 2 =1
</span>cos (2pi/3) = - 1/2 <span>
cos (pi/3) = 1/2
cos^2 (pi/3) = 1/4
take your pick!
pi/3 radians = 60 degrees, and cos is looking for the side adjacent to the 60 degree angle
in a 30-60-90 triangle, the sides are in the ratio 1-sqrt(3)-2
so cos 60 = 1/2
2(pi/3) = 120 degrees-- the same triangle, except now, x is negative ==> cos 2pi/3 = -1/2</span>
