Scooter Race Scenario: Please use this Scenario for this and next 3 questions

Question 1: Scooter race

Geoffrey is organizing an electric scooter race around the neighborhood for all the kids in 6^th grade. Each scooter requires two batteries in order to work. Without the batteries a scooter has no value as it cannot be used. These batteries are only for these scooters and the batteries have no value unless they are inside a scooter. Therefore, a scooter and two batteries are perfect complements. Assume that one scooter costs $15 dollars and that one battery costs $2.5 so that the cost of two batteries is equal to $5.

Part a. Assume that after a month-long fundraising campaign, Geoffrey was able to collect $300 for the scooter race. If Geoffrey wants to maximize the number of working scooters for the race, what is Geoffreys budget constraint going to be? Assume that S is for scooters, and that B is for batteries.

The budget constraint is: [ Select ] ["S = 20 - 0.5B", "B = 120 - 4S", "15S + 2.5B = 300", "15S + 5B < 300", "15S + 5B = 300", "2.5S + 15B = 300"]

Question a: Scooter race

Given Geoffreys budget constraint in Part a of Question 1: Scooter race and the fact that scooters and batteries are perfect complements, what is the optimal bundle of scooter and batteries that Geoffrey can purchase?

Part a: Please enter the optimum number of Scooters below:

Question b: Scooter race

Given Geoffreys budget constraint in Part a of Question 1: Scooter race and the fact that scooters and batteries are perfect complements, what is the optimal bundle of scooter and batteries that Geoffrey can purchase?

Part b: Please enter the optimum number of Batteries below

Question c: Scooter race

Suppose that Geoffrey is ready to go purchase scooters and batteries but when he gets to the store, at his surprise, the cost of scooters has decreased so that the new price of scooters is now $10. What is the new optimal bundle of scooters and batteries that Geoffrey can now purchase?

For this question, please provide only the optimal number of Scooters: