Use the simplex method to solve the linear programming problem.Minimizew = 4y1 + 4y2subject to:5y1 + 10y2 ? 100 10y1 + 20y2 ? 150 y1 ? 0, y2 ? 0
A. 20 when y1 = 4 and y2 = 4
B. 60 when y1 = 0 and y2 = 20
C. 10 when y1 = 0 and y2 = 50
D. 40 when y1 = 0 and y2 = 10
Answer: D
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Write the indicated statement. Use De Morgan's Laws if necessary.If the chores are done, then we will go to the carnival and we will eat cotton candy. Contrapositive
A. If we do not go to the carnival or we do not eat cotton candy, then the chores are not done. B. If the chores are not done, then we will not go to the carnival or we will not eat cotton candy. C. If we do not go to the carnival and we do not eat cotton candy, then the chores are not done. D. If we go to the carnival and we eat cotton candy, then the chores are done.
Solve the problem. Round to the nearest hundredth of a percent.Mary was offered a discount if she pays her invoice in 120 days. One bank will loan her money at 12% simple interest. A second bank will give her a simple discount rate. What discount rate should she accept so she does not pay more than at the first bank?
A. 12.5% B. 11.65% C. 10.58% D. 11.54%
Provide an appropriate response. 
For the transition matrix 
, find the limiting matrix. Use fractional entries.
A. 
B. 
C. 
D. 
Evaluate.C(4, 1)
A. 1
B. 4!
C. 
D. 4