3. Consider the following problem. Maximize Z = 2x1 + 7x2 + 4x3 subject to x1 + 2x2 + x3 ≤ 10 3x1 + 3x2 + 2x3 ≤ 10 x1, x2, x3 ≥ 0. 1 (a) (points: 4) Construct the dual problem for this primal problem. (b) (points: 2) Use the dual problem to demonstrate that the optimal value of Z for the primal problem cannot exceed 25.

answer is the attachment below:

Step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

answer: 8d

step-by-step explanation:

45+5= 50+5=55+5=60