Doll Houses
Posted by admin on Wednesday Sep 30, 2009 Under Dolls
X is the number of doll houses and Y is the number of furniture sets.?
A small company produces both doll houses and sets of doll furniture. The doll houses take 3 hours of labor to produce, and the furniture sets take 8 hours. The labor available is limited to 400 hours per week, and the total production capacity is 100 items per week. Existing orders require that at least 20 doll houses and 10 sets of furniture be produced per week.
Your post is incomplete and no appropriate solution can be offered because you have not presented what you need to do with the data. I realize that this is an optimization problem using Linear Programming BUT what do you really want to do?
What must your objective function be? Do you want to maximize revenues or do you want to minimize the production costs?
Anyway, whatever your objective function is, the constraints are as follows:
3X + 8Y ≤ 400
20X + 10Y ≤ 100
X > 20
Y > 10
Good luck.
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