Find the maximum value of p=3x+2y subject to the following constraints 5x+y< 16
2x+3y< 22
x> 0
y> 0

The maximum value of p is 18

Step-by-step explanation:

we have

------> constraint A  

----> constraint B

----> constraint C

----> constraint D

using a graphing tool

The solution is the shaded area

see the attached figure

The vertices of the solution area are

(0,0), (0,7.3), (2,6) and (3.2,0)

To find the maximum value of p, substitute the value of x and the value of y of each vertices in the equation and then compare the results

For (0,0)

For (0,7.3)

For (2,6)

For (3.2,0)

therefore

The maximum value of p is 18

828. all there is to it!

here, if you ever need with rounding (or other forms of arithmetic/math) again, use this:

thats the rounding one, but if you just click the top left, it shows you all the calculators you may need!

the rocket cannot penetrate the ground, in a contextual sense, therefore the roots of this equation should be the domain of this function. i'll let you find the roots of this quadratic equation (hint: use the quadratic formula:  

1- c

2-a

step-by-step explanation:

mark brainliest!