Question

Natalie is a hair stylist when making appointments for her clients she allots 30 minutes for each cut and 2 hours for each cut and color she has 10 hours available for appointments each day and prefers to see no more than 8 clients each cut costs 40 and each cut and color costs 100 how many of each type of appointment should she schedule each day to maximize income

Answer 1

Answer:i hope this helps

look at last line

Step-by-step explanation:Objective function is to maximize income.

The linear equation of the objective function is max (x1 + x2); where x1 = # of haircuts and x2 = # of haircut & color.

Constraints:

#1) 0.5*x1 + 2* x2 < =10.

0.5* x1 represents 0.5 hrs. per haircut and 2*x2 represents 2 hrs. per haircut & color.

The expression < = 10 represents that there are no more than 10 hour per day which Natalie will work.

#2) x1 + x2 < = 8

This expression represents the fact that Natalie doesn’t want more than 8 clients per day.

Recall x1 represents # of haircuts and x2 represents # of haircut & color, so x1 + x2 <=8 should make sense.