The Crazy Turkey Company produces two types of turkey cut for sale. Each cut consists of white
Question:
The Crazy Turkey Company produces two types of turkey cut for sale. Each cut consists of white meat and dark meat. Table 1 Cuts for sale
Cut | price per pound | % white meat | Demanad |
1 | $5 | 70% or more | 1000 lbs |
2 | $4 | 50% or more | 1500 lbs |
Table 2 Raw material
raw material | cost per packet | white meat | dark meat | offer for packets |
A | $ 12 | 5 lbs | 2 lbs | 250 |
B | $ 9 | 3 lbs | 4 lbs | 200 |
C | $12 | 4 lbs | 4 lbs | 300 |
Processing turkey meat costs 0.50 per pound. It takes 7 minutes to process a pound of cut 1 and 5 minutes to process a pound of cut 2. There are 200 hours available to make cuts.
Formulate this problem to optimize the production of cuts.
Show decision variables, objective function and restrictions
Preferably using these decision variables:
Xij -quantity of raw material i (i = A,B,C) used for cut j (j = 1,2)
Yi – quantity of cut i (i = 1,2) produced
Mathematical Applications for the Management Life and Social Sciences
ISBN: 978-1305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds