1. A sporting goods store sells 150 pool tables a year. It costs $36 to to store

Question

1. A sporting goods store sells 150 pool tables a year. It costs $36 to to store a table a year. To reorder there is a fixed cost of $27 per shipment plus $15 for each pool table. How many times a year should they order pool tables and in what lot size to minimize inventory costs?

# of pool tables? # times per year?

2. An apple farm yields an average of 41 bushels of apples per tree when 17 trees are planted on an acre of ground. each time 1 more tree is planted per acre, the yield decreases 1 bu per tree due to the extra congestion. How many trees should be planted in order to get the highest yield?

Explanation / Answer

2.

Yield = trees x bushels / tree

let w = number of addition trees planted / acre...thus trees = 17 + w & bushels = 41 - w

Y(w) = (17 + w ) ( 41 - w) = 697 + 24 w - w

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