Question: A farm makes pine trees for sale. Pine trees require extensive pruning during the growing season to shape the trees for the tree market. The

A farm makes pine trees for sale. Pine trees require extensive pruning during the growing season to shape the trees for the tree market. The farm manager is able to purchase pruning hooks for usd16.60 each. He then also has ready supply of spears at usd 3 each which can be bent into pruning hooks. This process to turn spears into pruning hooks requires about 1 hour of labor, while the assembly of a purchased pruning hook only requires 15 minutes. The manager only has 10 hours available. The labor rates are usd 8.40/hr and the manager intends to spend no more than 280usd on buying or making the pruning hooks. With these limitations, and assuming fractional solutions are allowed,

1. Formulate a linear program to find how many pruning hooks can he acquire (from outright purchase and through conversion).

2. Use Excel and Excel solver to solve the linear program

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