import pulp as lp

# Initialize the LP problem

problem $=$ lp$.$LpProblem$("$Minimum$\_$Workers", lp$.$LpMinimize$)$

# Define variables

x $=$ lp$.$LpVariable.dicts$("$Shift$",$ range$(6),$ lowBound$=0,$ cat$=$'Integer'$)$

# Objective function

problem $+=$ lp$.$lpSum$($x$[$i$]$ for i in range$(6)),$ "Total Workers"

# Constraints

requirements $=[8,7,5,4,4,7]$ # Worker requirements for each shift

for i in range$(6)$:

problem $+=$ x$[$i$]+$ x$[($i$+5)\%6]>=$ requirements$[$i$],$ f$"$Requirement$\_\{$i$\}"$

# Solve the problem

problem.solve$()$

# Display the results

for v in problem.variables$()$:

print$($v$.$name, $"=",$ v$.$varValue$)$

print$("$Total number of workers required:", lp$.$value$($problem$.$objective$))$