A student ears $10 per hour for tutoring and $7 dollars per hour as a teacher's aid. Let x= number of hours each weeks spent tutoring and y=the number of hours each week spent as teacher's aid. Write the objective function that describes the total weekly earnings:
e=10x+7y correct?
for the 2nd part of the problem:
The student is bound by the following constraints:
a) to have enough time for studies the student can work no more than 20 hours a week
x+y <=20 correct?
b) The tutoring center requires that each tutor spend at least 3 hours a week tutoring.
3x+y <=20 correct?
c) The tutoring center requires that each tutor spend no more than eight hours a week tutoring?
No sure here.
Any help will be appreciated thanks
(a) correct.
(b) x≥3
(c) x≤8
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For the objective function, you are correct. The total weekly earnings can be described by the equation e = 10x + 7y.
Now, let's move on to the constraints:
a) The constraint states that the student cannot work more than 20 hours a week. Mathematically, this can be represented as x + y ≤ 20. This constraint ensures that both the hours spent tutoring and as a teacher's aid do not exceed 20 hours in total.
b) The tutoring center requires each tutor to spend at least 3 hours a week tutoring. This means that the number of hours spent tutoring (x) should be greater than or equal to 3. Mathematically, this can be represented as 3x + y ≥ 3.
c) The tutoring center requires each tutor to spend no more than eight hours a week tutoring. This implies that the number of hours spent tutoring (x) should be less than or equal to 8. Mathematically, this can be represented as 3x + y ≤ 8.
Therefore, the correct constraints are:
a) x + y ≤ 20
b) 3x + y ≥ 3
c) 3x + y ≤ 8