Can someone help me answer these questions? Thank you in advance

| havejust perfected the rst electronic toothpick in my basement laboratory with xed cost of $1620. I have led for a patent and expect to be the monopoly supplier of this product for the next 17 years. My market research suggests that the (inverse) demand curve for this product (over the entire patent lifetime) will be P = 48 0.262, where P is the price per toothpick and Q is the number of toothpicks sold. My average variable cost is 0.162 dollars. Characterize optimal price regulation (rst-best price regulation). What are the associated levels of output, price, and consumer surplus? Is a lump-sum subsidy required to keep the rm in operation? What is the amount ofthe lump-sum subsidy needed? X V For the optimal price regulation, the regulated price must be$ and the rm should produce units of x X output. Under optimal price regulation, the consumer surplus is $ .A lump-sum subsidy of $ is required to keep the rm in operation. (Enter 0 if a lump-sum subsidy is not required)