Provide an appropriate response.A linear programming problem has objective function 6x and constraints x ? a-x ? -bwhere a and b are positive numbers.Does a maximum exist for the objective function? If not, why not? Does a minimum exist? If not, why not?
A. Maximum and minimum both exist.
B. Neither maximum nor minimum exist as the feasible set is the empty set.
C. Maximum does not exist as the objective function may be arbitrarily large (unbounded). Minimum does exist.
D. Maximum exists. Minimum does not exist as the objective function may be arbitrarily small (unbounded).
Answer: D
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A. 
B. 
C. 
D. 
Find the exact value of the indicated trigonometric function of ?, if ? is an angle in standard position whose terminal side contains the given point.(
, - 
); find sec ?.
A. - 
B. 
C. 
D. - 
Complete the table of values for the given equation.y = -x + 9
A. 9; 4; 0 B. 9; 4; 1 C. 9; 20; 0 D. 0; 5; 9
Solve the problem.Tides go up and down in a 12.8-hour period. The average depth of a certain river is 8 m and ranges from 5 to 11 m. The variation can be approximated by a sine curve. Write an equation that gives the approximate variation y, if x is the number of hours after midnight and high tide occurs at 10:00 am.
A. y = 8 sin 
+ 3
B. y = 8 sin 
+ 3
C. y = 3 sin 
+ 8
D. y = 3 sin 
+ 8