Night Timers is a small company manufacturing glowinthedark products. One of the hottest items the engineering department has developed is adhesive tape that can be applied to walls and floors. Night Timers chief engineer anticipates that the product will be sold in tenfoot rolls. At present, the company's maximum production capacity is 140,000 rolls per year. The engineer believes the cost function to b be described by C: $50,000 + 0.250..Night Timers president seeks to establish a price that maximizes profit. She thinks that the firm should be able to sell at least 125,000 rolls of tape per year. The marketing manager forecasts demand for the tape to be Q = 350,000 200,000P. a.) If night timers plan to sell 125,000 rolls per year, what is the necessary price if firm is to break even? What if it can sell 100,000? b.) The marketing manager forecasts demand forthe tape to be: 0 = 350,000 - 200,000P. Find the firm's profit maximizing output and price. c.) Ifthe demand forecast in part b is realized in the first year of production, should the company consider expanding capacity? Explain