Action Motor Sports Company uses a machine that can produce $100$ razor scooters per hour. The firm operates $12$ hours per day, five days per week. Due to regularly scheduled preventive maintenance, the machines will have to be down $5\%$ of the available time. Based on experience with other products produced during preventive maintenance, the firm achieved an efficiency level for the wheels of $87\%.$ The company's internal utilization goal is $75\%.$

a$.$ What is the firms effective capacity?

b$.$ What is the expected actual weekly output of scooters for this company, based on effective capacity?

c$.$ Which of the following is true?

d$.$ If the company received an order for $10,000$ razor scooters per week and switched to a $18-$hour dailv operation, is it likely they would be able to fulfill demand, based on effective capacity?