Mathematics Homework Help

I’m working on a mathematics question and need support to help me understand better.

Instructions
A night club owner has just changed ownership and the new owner has contracted G&B consulting to help decide the direction the club will take. Based on the local music scene, it would make the most sense to book either rock bands or country bands. The new owner is aware that a competing night club is hoping to attract new customers while the new club is getting itself established. Since these are the only two night clubs in town competing to book the same bands, whatever market share is gained by one is lost by the other making this a zero-sum game. The new club owner has hired you to find the optimum strategy for this situation.