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Power Brokers, Inc., a discount brokerage firm, is contemplating opening a new regional office in Providence, Rhode Island. An accounting cost analysis of monthly operating costs at a dozen of its regional outlets reveals average fixed costs of $4,500 per month and average variable costs of:
AVC=$59-$0.006Q
Where AVC is average variable cost in dollars and Q is output measured by number of stock and bond trades. A typical stock or bond trade results in $100 of gross commission income, with PBI paying 35% to its sales representative.
A. Estimate the trade volume necessary for PBI to reach a target return of $7,500 per month for a typical office.
B. Estimate and interpret the elasticity of cost with respect to output at the trade volume found in part A.
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