Can you please help with this question thanks

LC Burgers is currently the sole fastfood chain in Linear city, a city that is one mile long and consists of one street, with one thousand consumers distributed uniformly along the street. The price for the BigLC, the only product sold by the LC Burger chain, is set nationally at $4, so that the local Linear city manager's decision is limited to choosing the number and location of its stores. Each store costs $600,000 to open and lasts indenitely. Each consumer buys one burger per week at the current price of $4. However, no consumer will walk for more than a quarter of a mile to buy a burger. Operating costs are $1 per burger. The interest rates is 0.1% per week. The market conditions are unchanging, so present discounted prots can be regarded as level perpetuities. (a) Suppose that LG Burgers faces no competition and no threat of entry. How many stores should LC Burgers open, and at what locations? CS Burgers is contemplating entering Linear city. CS Burgers' costs and price are the same as those of LC Burgers. Moreover, consumers regard the products at both chains as equally good, so, if both brands are in town, each consumers buys from the closest store. (b) At what locations should CS Burgers open stores, given that LC Burgers has opened the locations found to be optimal in part (a)? (c) Recognizing the threat of entry by CS Burgers, at what locations should LC Burgers open stores