a local florist is making two types of floral arrangements for thanksgiving: regular and special. Each regular arrangement requires 3 mums, 3 daisies, and 2 roses, and each special arrangement reguires 4 mums, 2 daisies, and 4 roses. The florist has set aside 60 mums, 54 daisies, and 52 roses for the two types of arrangements,
The florist will make a profit of $2 on each regular arrangement and $3 on each special arrangement.
1. write an objective function for the profit.
2. Create a system of inequalities to represent the constraints. Graph the feasible region.
3. identify the vertices of the feasible region.
4. how much of each type of arrangement should the florist make in order to maximize the profit? what is the maximum profit?
5. If the maximum profit is achieved, will there be any flowers left over? Explain your reasoning.
2007-01-07
07:02:34
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2 answers
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asked by
CHALEAH J
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