Provide an appropriate response.A linear programming problem has objective function 3x1 + 4x2 and constraintsax1 + bx2 ? 10cx1 + dx2 ? 20x1 ? 0, x2 ? 0where a, b, c, and d are positive numbers.Does a maximum exist for the objective function? If not, why not? Does a minimum exist? If not, why not?
A. Neither maximum nor minimum exist as the feasible set is the empty set.
B. Maximum and minimum both exist.
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: B
You might also like to view...
Two measurements are given. Find the absolute difference and then find the relative difference as a percentage. Assume that the first quantity is the compared value and the second quantity is the reference value. Round answers to the nearest tenth if necessary.The population density in country A is 76 people per square mile while in country B, it is 630 people per square mile.
A. Absolute difference: -554 people per square mile Relative difference: -87.9% B. Absolute difference: 554 people per square mile Relative difference: 728.9% C. Absolute difference: -554 people per square mile Relative difference: -728.9% D. Absolute difference: -554 people per square mile Relative difference: -8.8%
Answer the question.The graph below shows the approximate annual percentage growth rate in world population for the years 1960 through 2010. Data is estimated by the UN Census Bureau.Annual Growth Rate (Percentage) 
Why must the graph be interpreted with care? If the graph is not interpreted with care what misleading impression might one have of world population during the period 1960-2010? In which year during the period 1960-2010 is estimated world population the greatest? During which years did world population increase at the fastest rate?Summarize the overall trends in world population during the period 1960-2010.
What will be an ideal response?
Simplify: 72 ÷ 8 ? 3 - 72
A. -3 B. -46 C. -22 D. 13
Simplify the expression. Assume that variables represent nonzero numbers.(w6z)4(w5z6)
A. w29z10 B. w120z24 C. w11z10 D. w15z10