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Gg Toys

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Submitted By horsey
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Answer 1 a. We have to make a decision, how much space should we lease and for how long. Constraint is the minimum space required. The objective of this function is to minimize

b. Decision Variables:
Let Xij = the space leased in month (i) for the period of (j) months, for i = 1, 2, …, 5 and j = 1, …, 6.

Objective Function:
Minimize Z = 65(X11 + X21 + X31 + X41 + X51) + (100X12 + X22 + X32 + X42) + 135(X13 + X23 + X33) +160(X14 + X24) + 190X15

Constraints:
X11 + X12 + X13 + X14 + X15 >= 30,000 Month 1 Req.
X12 + X13 + X14 + X15 + X21 + X22 + X23 + X24 >= 20,000 Month 2 Req.
X13 + X14 + X15 + X22 + X23 + X24 + X31 + X32 + X33 > = 40,000 Month 3 Req.
X14 + X15 + X23 + X24 + X32 + X33 + X41 + X42 >= 10,000 Month 4 Req.
X15 + X24 + X33 + X42 + X51 >= 50,000 Month 5 Req.

Answer 2:
b. Decision Variables:
Let F1 = Number of full-time consultants working the morning shift (8 AM – 4 PM)
Let F2 = Number of full-time consultants working the evening shift (4 PM – 12AM)
Let P1 = Number of part-time consultants working the 1st shift (8 AM – 12 PM)
Let P2 = Number of part-time consultants working the 2nd shift (12 PM – 4 PM)
Let P3 = Number of part-time consultants working the 3rd shift (4 PM – 8 PM)
Let P4 = Number of part-time consultants working the 4th shift (8 PM – 12AM)

Objective Function:
Minimize Z = 14*8* (F1 + F2 ) + 12*4 * (P1 + P2 + P3 + P4 )
Constraints:
Minimum number of consultant requirement
F1 + P1 >= 4,
F1 + P2 >= 8,
F2 + P3 >= 10,
F2 + P4 >= 6
Full-timers twice as much as part-timers requirement:
F1 – 2P1 >= 0,
F1 – 2P2 >= 0,
F2 – 2P3 >= 0,
F2 – 2P4 >= 0
Non-negativity: F1 >= 0, F2 >= 0, P1 >= 0, P2 >= 0, P3 >= 0, P4 >= 0.

Answer 3:
1. Cost per pound of ingredients:

Almonds $7500/6000 = $1.25
Brazil $7125/7500 = $.95
Filberts $6750/7500

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