Question

lisa gives child (x) and adult (y) haircuts in her salon. she charges $10 for a child and 40$ for an adult haircut. her goal is to make at least 1000$ per week and work no more than 40 hours. the shaded region of the graph represents the possible combinations of adult and child haircuts that will allow her to meet her goal. which combination represents her maximum profit?

Answer 1

Answer: (possible answer)

Lisa needs to cut 20 adult's hair then she would have 800$ and 20 children's hair that would give her 200$

1 hour : Adult 40$

2 hour : child  50$

3 hour : Adult 90$

4 hour : child 100$

5 hour : Adult 140$

6 hour : Child 150$

7 hour : Adult 190$

8 hour : child 200$

9 hour : Adult 240$

10 hour : child 250$

11 hour : adult 290$

12 hour : child 300$

13 hour : adult 340$

14 hour : child  350$

15 hour : adult 390$

16 hour : child 400$

17 hour : adult 440$

18 hour : child 450$

19 hour : adult 490$

20 hour : child 500$

21 hour : adult 540$

22 hour : child 550$

23 hour : adult 590$

24 hour : child 600$

25 hour : adult 640$

26 hour : child 650$

27 hour : adult 690$

28 hour : child 700$

29 hour : adult 740$

30 hour : child 750$

31 hour : adult 790$

32 hour : child 800$

33 hour : adult 840$

34 hour : child 850$

35 hour : adult 890$

36 hour : child 900$

37 hour : adult 940$

38 hour : child 950$

39 hour : adult 990$

40 hour : child 1000$