An analyst for FoodMax estimates that the demand for its "Brand X" potato chips is given by:

lnQ_X^d= 12.14 - 2.8lnP_X+ 3.4P_Y+ 0.7 lnA_X

whereQ_XandP_Xare the respective quantity and price of a four-ounce bag of Brand X potato chips,P_Yis the price of a six-ounce bag sold by its only competitor, andA_Xis FoodMax's level of advertising on brand X potato chips.

Last year, FoodMax sold 7 million bags of Brand X chips and spent $0.42 million on advertising. Its plant lease is $2.1 million (this annual contract includes utilities) and its depreciation charge for capital equipment was $2.8 million; payments to employees (all of whom earn annual salaries) were $0.8 million. The only other costs associated with manufacturing and distributing Brand X chips are the costs of raw potatoes, peanut oil, and bags; last year FoodMax spent $2.8 million on these items, which were purchased in competitive input markets.

Based on this information, what is the profit-maximizing price for a bag of Brand X potato chips? (round response to the nearest penny, 2 decimal places)

Thanks!