29) Suppose that 10 golfers enter a tournament and that their respective skill levels are
approximately the same. Six of the entrants are female and two of those are older than
40 years old. Three of the men are older than 40 years old. What is the probability that
the winner will be a female who is older than 40 years old?
A) 0.000
B) 1.100
C) 0.198
D) 0.200
E) 0.900
30) Swearingen and McDonald, a small furniture manufacturer, produces fine
hardwood tables and chairs. Each product must go through three stages of the
manufacturing process: assembly, finishing, and inspection. Each table requires 12
hours of assembly, 20 hours of finishing, and 2 hours of inspection. Each chair requires
4 hours of assembly, 16 hours of finishing, and 3 hours of inspection. The profit per
table is $150 while the profit per chair is $100. Currently, each week there are 300
hours of assembly time available, 220 hours of finishing time, and 30 hours of
inspection time. To keep a balance, the number of chairs produced should be at least
twice the number of tables. Also, the number of chairs cannot exceed 6 times the
number of tables. Formulate this as a linear programming problem. Carefully define all
decision variables. Find the solution.
31) Column 1:
Column 2: Control limits for an