pulp

from pulp import *

#Setting up the maximization problem
prob = LpProblem("Maximize Calories",LpMaximize)

# 3 variables representing Running, Walking, and Swimming; continuous variables because he could excercise for partial hours.
x1=LpVariable("Running",0,None,LpContinuous)
x2=LpVariable("Walking",0, None, LpContinuous)
x3=LpVariable("Swimming",0,None,LpContinuous)


# The objective function is added to the linear program
prob += 528*x1 + 348*x2 + 492*x3, "Maximize Calories Burned"

#The constraints are entered
prob += x1 + x2+ x3  <= 12, "Total Exercise Time"
prob += x1 <= 4, "Running Time Limit"
prob += x2 - 3*x3 >= 0, "Walk to Swim ratio"

#Write and solve the problem to a file
prob.writeLP("Question_6.lp")
prob.solve()

#Print the values solved by the linear program
for v in prob.variables():
    print(v.name, "=", v.varValue)

#Evaluate the objective function
total_calories = 528*4 + 348*2 + 492*2

print("Maximum Calories Burned: ",total_calories)

############OUTPUT###############
#Running = 4.0
#Swimming = 2.0
#Walking = 6.0
#Maximum Calories Burned:  3792