Handley Electronics has just developed a low$-$end headset that it plans to sell via a cable channel marketing program. The cable program's fee for selling the item is $20$ percent of revenue. For this fee, the program will sell the headset over six $10-$minute segments in September.

Handley's fixed costs of producing the headset are $$153,000$ per production run. The company plans to wait for all orders to come in$,$ then it will produce exactly the number of units ordered. Production time will be less than three weeks. Variable production costs are $$27$ per unit. In addit in$,$ it will cost approximately $$5$ per unit to ship the headsets to customers.

Laura Hall, a product manager at Handley, is charged with recommending a price for the item. Based on her experience with similar items, focus group responses, and survey information, she has estimated the number of units that can be sold at various prices:

$\backslash$table$[[$Price$,$Quantity$],[$$$85,14,200],[$$$75,17,100],[$$$65,34,500],[$$$55,44,400],[$$$45,64,900]]$