Assignment 5 - 0 otherwise Profit = Total selling price –...

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Fruit Computer produces two types of computers: Pear computers and Apricot computers.  Relevant data are given below. A total of 3000 chips and 1200 hours of labor are available.  Formulate an IP to help Fruit maximize profits.                                      Labor Chips Equipment cost Selling price  Pear 1 hour 2 $5000 $400 Apricot 2 hours 5 $7000 $900 SOLUTION: x 1 = number of PEAR computers produced x 2 = number of APRICOT computers produced y 1 =1  if any PEAR computers are manufactured      0  otherwise y 2 =1  if any APRICOT computers are manufactured
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Unformatted text preview: 0 otherwise Profit = Total selling price – Equipment cost Profit = 400x 1 +900x 2-5000y 1-7000y 2 Constraints: There are total of 3000 chips and 1200 labor hours are available x 1 +2x 2 <= 1200 ………………(1) 2x 1 +5x 2 <= 3000…………….(2) Therefore, Objective function is Max Z = 400x 1 +900x 2-5000y 1-7000y 2 Subject to, x 1 +2x 2 <= 1200 ………………(1) 2x 1 +5x 2 <= 3000…………….(2) X i >= 0 integer (i= 1,2) y i = 0 or 1...
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