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y of each component should be manufactured and how many should Q2.3. What is the

ID: 385194 • Letter: Y

Question

y of each component should be manufactured and how many should Q2.3. What is the total cost of the manufacturing and purchasing plan? (296) 02.4. How many hou be purchased? (2%) 02.5. How much should Frandec be willing to pay for an additional hour of time in the shaping department? (696) The following solution table may be used. (In minutes) solution Frames Supports Straps Purchase Manufacture 5000 2692 7308 5000 3. r20% in total) Write the dual of the following primal: max 4x+5y s.t. (3.2) (3.3) (3.4) 2x + 3y = 6 x, y unrestricted

Explanation / Answer

Q3.

First, we need to rewrite constraint (3.3)

|x| <= y implies that y is a positive number, because it is greater than or equal to a positive number |x|

Therefore, the above inequality can be rewritten as x - y <= 0

Dual of the problem is as follows

Min 6a+0b

s.t.

2a + 1b = 4

3a - 1b >= 5

a unrestricted, b >= 0