A linear programming computer package is needed.

needed to meet the minimum requirements. $($Let $x_i=$ the number of call$-$center employees who start work on day i where $i=1=$ Monday, $i=2=$ Tuesday, etc$).$

$Min{x}_1+x_2+x_3+x_4+x_5+x_6+x_7$

$s.t.$

Mond

Tuesday $x_1+x_2+x_5+x_6+x_{7}55$

Wednesda

Thursd:

Friday $\sqrt[\phantom{2}]{x_1+x_2+x_3+x_4+x_5}90$

Saturday $x_2+x_3+x_4+x_5+x_{6}70$

Sunday $x_3+x_4+x_5+x_6+x_{7}45$

$x_{1^{\text{'}}},x_{2^{\text{'}}},x_3,x_{4^{\text{'}}},x_{5^{\text{'}}},x_{5^{\text{'}}}{x}_{7}0$

Find the optimal solution.

$(x_{1^{\text{'}}},x_{2^{\text{'}}},x_{3^{\text{'}}},x_{4^{\text{'}}},x_{5^{\text{'}}},x_{6^{\text{'}}},x_7)=(,)$

Give the number of call$-$center employees that exceed the minimum required.