First, we'd need to find the feasible region which is bounded by the constraints 2 ≤ x ≤ 6, 1 ≤ y ≤ 5 and x + y ≤ 8. Let's graph all of them and we'll get the feasible region as unshaded in the attached image. To find the maximum for p = 3x + 2y, we'll plug the coordinates of the vertices in and compare them.
p(6,1) = 3(6) + 2(1) = 20
p(2,1) = 3(2) + 2(1) = 8
p(2,5) = 3(2) + 2(5) = 16
p(3,5) = 3(3) + 2(5) = 19
p(6,2) = 3(6) + 2(2) = 22
So the maximum value of p is 22 as x = 6 and y = 2.
304,920 sqft is your answer
Answer:A function whose graph is an unbroken line or curve with no gaps or breaks. Direct Variation
Step-by-step explanation:
A function whose graph is an unbroken line or curve with no gaps or breaks. Direct Variation. A linear relationship between two variables, x and y, that can be written in the form y=kx, where k is a nonzero constant. Discontinuous Function. A function whose graph has one or more jump, breaks, of holes.
1st birthday-100
2nd birthday-200
3rd birthday- 300
4th birthday- 400
5th birthday- 500
6th birthday- 600
7th birthday- 700
8th birthday- 800
9th birthday- 900
10th birthday- 1,000
Using compound interest, it is found that:
a) A(8) = 2389.66
b) t = 31.15
c) P = 1870.85
Compound interest:
- A(t) is the amount of money after t years.
- P is the principal(the initial sum of money).
- r is the interest rate(as a decimal value).
- n is the number of times that interest is compounded per year.
- t is the time in years for which the money is invested or borrowed.
In this problem:
- The APR is of 2.25%, hence
.
- No information about the number of compounding per year, hence
.
Item a:
, hence:
Item b:
, hence:
Item c:
, hence:
A similar problem is given at brainly.com/question/24850750
