In a linear programming problem, the binding constraints for the optimal solution are:

$5x+3Y30$

$2x+5Y20$

$\backslash$table$[[$a$.$ Fill in the blanks in the following sentence:$],[$As long as the slope of the objective function stays between$],[$remain optimal.$],[$b$.$

$\backslash$table$[[$Which of these objective functions will lead to the same$],[$optimal solution?$]]]]$

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