"Optimal input level" Ticket Services, Inc., promotes concerts and sporting events. The Massena College uses a team of ten students to hand deliver flyers at Massena mall, where every hour increment of flyer advertising costs exist300. Over the past year, the following relation between advertising and ticket sales per event has been observed: Sales (units) = 7,000 + 300A - 0.75A^2 and delta Sales/delta A = 300 - 1.5A Here A represents one hour of flyer distribution and sales are measured in numbers of tickets. Joe Smith, a senior student and team-leader has been asked by the Dean of the School of Business to suggest an appropriate level of advertising. In thinking about this problem, Joe noted its resemblance to the optimal resource employment problem he had studied in Managerial Economics course. The advertising-sales relation could be thought of as a production function with advertising as an input and sales as the output. The problem is to find the level of advertising that maximizes sales. After consultation with faculty in the Business Department, he determines that the value of output is exist2 per ticket, the net marginal revenue earned (price minus all marginal costs except flyer advertising). a). Using the rule for optimal resource employment, determine the profit-maximizing number of flyer distribution hours