A linear programming computer package is 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.
Friday
Saturday
Sunday
x_(1), x_(2), x_(3), x_(4), x_(5), x_(6), x_(7) >= 0
Find the optimal solution (x_(1), x_(2), x_(3), x_(4), x_(5), x_(6), x_(7)):
Give the number of call-center employees that exceed the minimum required. (M, Tu, W, Th, F, Sa, Su)
30
25
80
60
X + X + X + X + X + X,
Monday X, + X + X + X + X + X 30
Tuesday X, + X + X + X + X 25
Wednesday X, + X + X + X + X 55
Thursday X; + X + X + X + X 50
Friday X + X + X + X + X 75
Saturday X + X + X + X + X 60
X, XXy, X, X, X, X, a O