1. Find the maximum and minimum values of z = 2x + 3y subject to the following constraints
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minimum value =
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Minimum Values:

x = 0, y = 1, z = 3

Maximum Values:

x = 7 , y = 11 , z = 47

Step-by-step explanation:

FOR MINIMUM VALUES:

0<= x <= 7

It is clear from the above inequality that the minimum value of x must be 0.

y>= 1

This inequality shows that the minimum value of y must be 1. Using these minimum values of x and y to get the minimum value of z:

z = 2x + 3y

z = (2)(0) + (3)(1)

z = 3 (Minimum)

FOR MAXIMUM VALUES:

0<= x <= 7

It is clear from the above inequality that the maximum value of x must be 7.

x + y <= 11

To calculate maximum value of y we can use the minimum value of x in this inequality:

0 + y <= 11

y <= 11

Hence, the maximum value of y is 11.

Using these maximum values of x and y to get the maximum value of z:

z = 2x + 3y

z = (2)(7) + (3)(11)

z = 47 (Maximum)

1/4 because there is 4 grades.

after 1 year: 221 deer

step-by-step explanation:

30% of 170 is 51. 170+51=221